Hi! I’m super confused on the second page but for the first page I only need help on #11. Could you please let me know if the problems I did answer on the first page are correct?

Hi! Im Super Confused On The Second Page But For The First Page I Only Need Help On #11. Could You Please
Hi! Im Super Confused On The Second Page But For The First Page I Only Need Help On #11. Could You Please

Answers

Answer 1

Answer:

So ummmm..... I personally think that all of your answers on the first page should be flipped.

Second page:

#9: domain= [0,6] range=[-6,6]

#10: Domain= (-infinity, infinity) range: (-infinity, infinity)

#11: Domain= (-infinity, infinity) range: [-2, infinity)

Thats all I have time for

(Write infinity as the sideways 8)

Answer 2

A function is a relationship between input values and output values such that each input has exactly one output

The correct values are;

First page

11. A skateboarder motion

Second page

9. The square is not a function

10. Domain; -∞ < x < ∞

Range; -∞ < x < ∞

11. Domain of the graph is; -∞ < x < ∞

Range is; 2 ≤ y < ∞

12. A circle is not a function

13. Domain is; -∞ < x < ∞

Range; -2 ≤ y ≤ 4

14. Domain; -∞ < x < ∞

Range; y = 2

15. The relationship is a function

16. The relationship is not a function

17. The relationship is not a function

18.The given relationship is not a function

19. The relationship is a function

20. The relationship is not a function

21. The relationship is a function

22. The relationship is not a function

Reason:

First page;

11. The given graph can be described by the following real life situation;

A skateboarder rides up hill using an initial speed which is reduced at a constant rate by gravity. At the top of the hill, the skateboarder continues at a constant low speed and then drives down the hill, with her speed constantly being increased by gravity

Second page;

The domain and range of a

The domain of a function is set values of the input to the function where the function is defined

The range of a function are is the set of the output values of the function

9. The given figure of a square is not a function

10. The graph extends to infinity towards the top right, and the bottom left

The domain of the function is; -∞ < x < ∞The range of the function is; -∞ < x < ∞

11. The graph of the function extends infinity at the top left and top right

Therefore, the domain of the graph is; -∞ < x < ∞

The graph has a minimum at y = 2, while it extends to infinity as the y-values increases, therefore;

The range is; 2 ≤ y < ∞

12. The graph of a circle is not a function

13. The end behavior of the graph is as follows;

The graph is repeating and extending to infinity at the left and right ends

Therefore;

The domain is; -∞ < x < ∞

The maximum y-value is y = 4, the minimum y-value is y = -2, therefore;

The range of the function is; -2 ≤ y ≤ 4

14. The graph of the function is an horizontal line, y = 1, extending to infinity to the left and right, therefore;

Therefore;

The domain of the graph is; -∞ < x < The range of the graph is; y = 2

15. The given data are; {(-2, 6), (2, 0), (3, 0), (4, -1), (5, 3)}

In the given data, each value of the input has exactly one output, given that the x-values of the data are not repeating

The relationship is a function

16. The given data values are presented as follows;

{(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}

The given data has two x-values, (-3) which are have the same y-value, (2, and 1), therefore, the given data does not represent a function

The relationship is not a function

17. The given data are presented as follows;

\(\begin{array}{|c|cc|}\mathbf{x}&&\mathbf{y}\\-2&&-3\\-1&&0\\5&&5\\4&&3\\-1&&7\end{array}\right]\)

The x-value, -1, has two different outputs, 0, and 7, therefore, the data is not a function

The relationship is not a function

18. In the given data, the x-value, 6, has two y-values, 3 and 5, therefore, the given relationship is not a function

19. The given graph is a function because each vertical line drawn from the horizontal axis, crosses the data points only once

The relationship is a function

20. The given graph is not a function because each vertical line crosses the graph only once

The relationship is not a function

21. The graph of is a function because each vertical line drawn from the horizontal axis crosses the graph at one point only

The relationship is a function

22. The graph is not a function because it has several points on the side that is vertical to the y-axis

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Related Questions


Help me please i don’t wanna fail

Help me please i dont wanna fail

Answers

Answer:

B

Step-by-step explanation:

A registered golden retriever has a litter of 11 puppies. Assume that the probability of a puppy being male is 0.5. What is the probability at least 7 of the puppies will be male?

Answers

The probability at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.

To determine the probability that at least 7 of the puppies will be male, we will have to use the binomial probability formula.

P(X ≥ k) = 1 - P(X < k)

where X is the number of male puppies, P is the probability of a puppy being male and k is the minimum number of male puppies required.

We can solve this problem by finding the probability that 0, 1, 2, 3, 4, 5, or 6 of the puppies are male, and then subtracting that probability from 1. We use the binomial distribution formula to find each of these individual probabilities.

P(X=k) = nCk * pk * (1-p)n-k

where n is the total number of puppies, p is the probability of a puppy being male (0.5), k is the number of male puppies, and nCk is the number of ways to choose k puppies out of n puppies. We'll use a calculator to compute each probability:

P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)

P(X = 0) = 11C0 * 0.5⁰ * (1-0.5)¹¹ = 0.00048828125

P(X = 1) = 11C1 * 0.5¹ * (1-0.5)¹⁰ = 0.00537109375

P(X = 2) = 11C2 * 0.5² * (1-0.5)⁹ = 0.03295898438

P(X = 3) = 11C3 * 0.5³ * (1-0.5)⁸ = 0.1171875

P(X = 4) = 11C4 * 0.5⁴ * (1-0.5)⁷ = 0.24609375

P(X = 5) = 11C5 * 0.5⁵ * (1-0.5)⁶ = 0.35595703125

P(X = 6) = 11C6 * 0.5⁶ * (1-0.5)⁵ = 0.32421875

P(X < 7) = 0.00048828125 + 0.00537109375 + 0.03295898438 + 0.1171875 + 0.24609375 + 0.35595703125 + 0.32421875 = 1 - P(X < 7) = 1 - 1.08184814453 = -0.08184814453 ≈ 0.0805

Therefore, the probability that at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.

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(b) Work out the value of (2.4 x 10³) x (9.5 x 10³)
Give your answer in standard form.

Answers

Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

Is this a function or no

Is this a function or no

Answers

Answer:

Yes

Step-by-step explanation:

None of them repeat

PLEASE ANSWER QUICKLY

PLEASE ANSWER QUICKLY

Answers

Answer:3600

\

Step-by-step explanation:

A shoemaker sold a pair of for $245.99 if the buyer a $300.00 bill, how much will the buyer receive in change?

*two decimal places don't forget your $ sign. Example: $50.00 NOT 50*

Answers

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

CAN SOMEONE PLEASE HELP(IM BAD AT MATH)

CAN SOMEONE PLEASE HELP(IM BAD AT MATH)

Answers

Answer:

C

Step-by-step explanation:

like I said, find the square area and subtract the triangles.

28 x 28= 784

Find the dimensions of the triangles. Since the surrounding shape is a square, the legs should be equal in length.

28-11.6=16.4

16.4/2=8.2

8.2 is the leg's length.

8.2*8.2*1/2*4=134.48

Subtract it to the square's area. 784-134.48= 649.52

Now round!

You get C

Mabel's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 35 sodas in all, 28 of which were regular. What percentage of the sodas were regular?

Answers

Assuming last night, the diner served 35 sodas in all, 28 of which were regular. The  percentage of the sodas  that were regular is: 55.6%.

How to find the percentage of regular soda?

First step is to  find the total

Total = Number of sodas + Regular

Let plug in the formula

Total = 35 + 28

Total = 63

Now let find the percentage of sodas that are regular

Percentage = Number of sodas / Total

Let plug in the formula

Percentage = 35/63 × 100

Percentage = 55.55%

Percentage = 55.6% (Approximately)

Therefore the percentage is 55.6%.

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i don't understand how to do this someone help me math!!

i don't understand how to do this someone help me math!!

Answers

Answer:

-8

Step-by-step explanation:

ky^2 = -5y + 7y^2 +9y - 15y^2 -4y

ky^2 = -8 y^2

k = -8

Answer:

  8

Step-by-step explanation:

We believe the problem here requires that all of the coefficients in the expression on the left be zero. That is, the equation will be true for any value of y.

We can work this a couple of ways. One of them is to simplify the given expression. Let 'a' represent our unknown coefficient.

  \(-ay^2-[-5y-y(-7y-9)]-[-y(15y+4)]=0\\\\-ay^2-[-5y+7y^2+9y]+[15y^2+4y]=0\\\\-ay^2-[7y^2+4y]+15y^2+4y=0\\\\(-a-7+15)y^2+(-4+4)y=0\\\\(-a+8)y^2=0\)

In order for this to be zero for all values of y, we must have (-a+8) = 0.

  a = 8

The missing coefficient is 8.

_____

Since this expression must be true for every value of y, another way to work this is to choose a value of y. This will tell us what the coefficient must be for the expression to be zero. Let y = 1.

  -a·1² -[-5·1 -1(-7·1 -9)] -[-1(15·1 +4)] = 0

  -a -[-5-(-16)] -[-19] = 0

  -a -11 +19 = 0

  -a +8 = 0

  a = 8 . . . . . . same as above

_____

Additional comment

The many minus signs are intended to make sure you're comfortable with arithmetic with negative coefficients and negative numbers. The key, of course, is that -(-a) = +a. The opposite of the opposite is the original.

We have assumed that the dash at the beginning of the line (before the answer box) is intended to be a minus sign. If that is not the case, then your answer will be -8, instead of 8.

What's the solution?

What's the solution?

Answers

The solution of the graphs of the equations is; )(6, 3 2/3)

What is a system of equation?

A system of equation consists of two or more equations that share the same variables.

The solution of a system of equations obtained graphically can be obtained from the point of intersection of the lines of the graph of the equations

Taking the axis as the lowermost and  leftmost white lines, we get;

The points on the function f are (0, 1), and (9, 5)

The slope is; (5 - 1)/(9 - 0) = 4/9

The y-intercept is; (0, 1)

The equation is; y = (4/9)·x + 1

The equation of the line g is; x = 6

Therefore, the point of intersection is; y = (4/9)×6 + 1 = 8/3 + 1 = 11/3 = 3 2/3

The solution is therefore; (6, 3 2/3)

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Your ceiling is 230 centimeters high, you want the tree to have 50 centimeters of space with the ceiling. How tall must the tree be? (In centimeters)

Answers

To determine the height the tree should be, we need to subtract the desired space between the ceiling and the tree from the total height of the room. The tree must be 280 centimeters tall to leave 50 centimeters of space between its top and the ceiling.

Given that the ceiling is 230 centimeters high and we want 50 centimeters of space between the tree and the ceiling, we can calculate the required height as follows:

Total height of the room = Ceiling height + Space between ceiling and tree

Total height of the room = 230 cm + 50 cm

Total height of the room = 280 cm

Therefore, the tree must be 280 centimeters tall to leave 50 centimeters of space between its top and the ceiling.

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Write the answer in simplest radical form

Write the answer in simplest radical form

Answers

Answer:

y = 9\(\sqrt{2}\) inches

Step-by-step explanation:

Since the base angles are congruent then the triangle is isosceles with both legs being equal.

Using Pythagoras' identity in the right triangle

y² = 9² + 9² = 81 + 81 = 162 ( take the square root of both sides )

y = \(\sqrt{162}\) = \(\sqrt{81(2)}\) = 9\(\sqrt{2}\)

I would really appreciate some help with this question, I'm having a difficult time. Thank you for helping!

Please order the numbers from least to greatest.
46%, 3.7 x 10^-4, 5/9, 0.00901, 73.04, 2/3

Answers

\(\text {Hi There! Let's solve this Problem!}\)

\(\text {Because most of these numbers are in decimal we will convert the numbers}\)\(\text {that isn't a decimal into a decimal}\)

\(\text {46 Percent = 0.46}\\\text {3.7*10 to the -4 power = 0.00037}\\\text {5/9 = 0.556}\\\text {2/3 = 0.66}\)

\(\text {The New Problem Is: 0.46, 0.00037, 0.556, 0.00901, 73.04 and 0.66}\)

\(\text {Your Answer Would Be:}\)

\(\huge\boxed {0.00037, 0.00901, 0.46, 0.556, 0.66, 73.04}\)

\(\text {Best of Luck!}\)

For which 10-year period was the rate of change of the population of Green Bay the greatest?

A1990 - 2000
B1970 - 1980
C1980 - 1990
D1975 - 1985

Answers

The rate of change of population of Green Bay was the greatest in the year 1990-2000.

Define rate?

A rate in mathematics is a ratio that contrasts two distinct values with dissimilar units.

John's typing speed, for instance, would be 50 words per minute if we assumed he typed 50 words per minute.

The prefix "per" indicates that we are discussing a rate.

The symbol "/" can be used in place of the word "per" in issues.

Let's use the case of an automobile that can travel 150 miles in 3 hours as an illustration.

You may calculate this by dividing 150 miles by three hours, which equals 150 miles/three hours or 50 miles per hour.

The word "per" in this context refers to each hour.

The average speed of the car is 50 miles per hour.

Change in population (in thousands) in 10 year period:

In, 1970-1980:

175-158 = 17

In, 1980-1990:

195-175 = 20

In 1990-2000:

227 - 195 = 32

32,000 is the largest growth in a 10 year period, so the answer is 1990-2000.

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The complete question is:

For which 10-year period was the rate of change of the population of Green Bay the greatest?

A1990 - 2000

B1970 - 1980

C1980 - 1990

D1975 - 1985

For which 10-year period was the rate of change of the population of Green Bay the greatest?A1990 - 2000B1970

In order for the parallelogram to be a rhombus, x=?

In order for the parallelogram to be a rhombus, x=?

Answers

Answer:

Step-by-step explanation:

The diagonal must be an angle bisector for a rhombus.

That means that both bisected angles are equal.

2x + 16 = 5x - 8            Add 8 to both sides

2x + 16 + 8 = 5x

2x + 24 = 5x                 Subtract 2x from both sides

24 = 5x - 2x

24 = 3x                         Divide by 3

24/3 = x

x = 8

g you would like to obtain a 90% confidence interval with margin of error 0.02, what is the minimum sample size you need?

Answers

I would like to construct a 95% confidence interval with a 4% margin of error. We don't have an estimate for the percentage, so we use a conservative estimate.

This is the minimum sample size, so we need to round up to 601. The larger the sample, the more confident the responses truly represent the population.

This shows that for a given confidence level, the confidence interval gets smaller as the sample size increases. At least 1450 samples from each group are required.

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Read the numbers and decide what the next number should be. 1 1.25 7 7.50 2 2.25 8

Answers

The next number would be 9.50 because it hours 11.25 to 7 than 7.50

Please help, Which postulate can be used to prove the two triangles are congruent?

Please help, Which postulate can be used to prove the two triangles are congruent?

Answers

The triangles are congruent by ASA(angle side angle) theorem

How to find congruent triangle?

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

In other words, triangles are congruent when they have exactly the same three sides and exactly the same three angles.

There are different ways to find that out that triangles are congruent.

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Therefore, the triangles are congruent by ASA(angle side angle) theorem.

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Use the table below to answer questions 1-4 related to the Miller's monthly expenses.
July
Mortgage Loan
Groceries
Electricity
Dentist
Phone/Internet
Gasoline
Water/Sewer
Credit Card(s)
Baseball Game
Complete problems 1-4 for
independent
When you are finished, check the solutions with your teacher.
Gift
Clothing
Car Loan
Car Repair
Total
August
$675.00 Mortgage Loan
$275.00 Electricity
$121.47 Restaurants
$143.50 Movies
$37.85 Phone/Internet
$118.60 Groceries
$41.45 Gasoline
$121.74 Water/Sewer Bill
$52.50 Credit Card(s)
$45.00 Gift
$151.56 Dry Cleaning
$278.50 Car Loan
$126.36 Home Repair
$2,188.53 Total
September
$675.00 Mortgage Loan
$153.56 Electricity
$119.30 Airplane Ticket
$29.50 Doctor Copay
$47.29 Phone/Internet
$319.00 Gasoline
$123.36 Groceries
$89.94 Football Game
$298.65 Credit Card(s)
$85.95 Water/Sewer
$26.88 Home Repair
$278.50 Car Loan
275.68 Fuel Oil
$2,522.61 Total
1. What do the Millers pay each month to repay their mortgage loan?
2. What is the Miller's average monthly expenditure for the telephone?
$675.00
$125.88
$352.00
$25.00
$37.85
$96.74
$285.92
$66.00
$171.28
$56.66
$96.45
$278.50
$198.31
$2,465.59
3. Transportation costs include car payments and costs for gasoline, repairs, and so on. What is their average
monthly expenditure for transportation costs?
4. Can you determine how much they save each month? Why or why not?

Use the table below to answer questions 1-4 related to the Miller's monthly expenses.JulyMortgage LoanGroceriesElectricityDentistPhone/InternetGasolineWater/SewerCredit

Answers

1. The Millers pay $675.00 each month to repay  their mortgage loan.

2. The Miller's average monthly expenditure for the telephone is $41.00.

3. Miller's average monthly expenditure for transportation is $433.52.

4. It is not possible to determine the amount that the Millers save each month because their net monthly earnings are not disclosed.

How the average monthly expenditure is computed:

The average monthly expenditure is determined by adding the monthly expenses for July, August, and September, and then dividing the result by 3.

The average is the quotient of the total value in the data set divided by the number of items.

                                   July         August    September       Total      Average

Mortgage Loan     $675.00     $675.00     $675.00   $2,025.00  $675.00 ($2,025.00 ÷ 3)

Telephone               $37.85       $47.29        $37.85       $122.99     $41.00 ($122.99 ÷ 3)

Transportation:

Gasoline                $118.60       $123.36       $96.74       $338.70

Car loan               $278.50      $278.50     $278.50      $835.50

Car Repair            $126.36                                              $126.36

Total for Transportation                                              $1,300.56    $433.52 ($1,300.56 ÷ 3)

Thus, the average monthly expenditure for transportation includes car payments and costs for gasoline, repairs, and so on added and divided by 3 months.

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triangle + triangle+triangle =circle+circle triangle +circle =30 wjat is te number of circle and triangle?

Answers

If triangle + triangle + triangle =circle + circle and triangle +circle =30, then there are 15 circles and 15 triangles.

Based on the facts provided, we can say:

triangle + triangle + triangle = circle + circle_______________(1)

triangle + circle = 30_________________(2)

Let's start with equation (2). We can see that the sum of a triangle and a circle is 30. Hence, we can write:

triangle + circle = 30

Now we can substitute this into equation (1), which gives:

triangle + triangle + triangle = (triangle + circle) + (circle)

⇒ 3(triangle) = 2(circle) + triangle

To solve for the number of triangles in terms of the number of circles, we can rearrange this equation as follows:

2(triangle) = 2(circle)

⇒ triangle = circle

As a result, we have discovered that the quantity of triangles and circles is identical. So that we can determine the value of each form, we can substitute this into equation (2) as follows:

triangle + circle = 30

⇒ 2(triangle) = 30

⇒ triangle = circle = 15

Hence, the solution is that there are 15 circles and 15 triangles.

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What’s the slope I also have to simplify it

Whats the slope I also have to simplify it

Answers

Answer:

Slope is -2

Step-by-step explanation:

rise/run

Hoep this helsp. Pls give brainliest.

-2. To find this pick a point I looked at the one on the bold up and down (vertical line: y axis). Then from there you can go down two which is negative two and right one so nothing changes from -2

HELP ILL HIVE BRAINLIEST

HELP ILL HIVE BRAINLIEST

Answers

Answer:

I cannot read it

Step-by-step explanation:

Step-by-step explanation:

the answer should be the first option bcos

when we use the table of values

let's just assume the values of x to be 0,1,2and3

so when x= 0

using the given formula y=2x-3

we get

y= 2(0)-3

=0-3

= -3

so we have x=0,y=-3

we do the same for the rest of the values

y=2(1)-3=2-3 =-1

y=2(2)-3=4-3= 1

and on the gragh this gives a straight line

where the values of y are -3,-1,1

and x are 0,1,2

Explain My last question for my test!! If you help Thank you soo much I will give brainliest if I have time and notice

Explain My last question for my test!! If you help Thank you soo much I will give brainliest if I have

Answers

Answer:

Step-by-step explanation:

(13g+1) - (-2-5g) = 8/3(3g+9/8)

We'll set them equal for now and then simplify

(13g + 1 - 2 - 5g) = (8g + 3)

8g - 1 = 8g + 3

So now we know they're not equal. Mr. Scotty boy is wrong and you have the simplifications. Hope this helps!

To make a small vase, Elisa uses no more than 4.5 ounces of clay. To make a large vase, she uses at least 12 ounces of clay. Which compound inequality represents the number of ounces of clay, c, that Elisa uses to make one vase of either size? 4.5 < c < 12 4.5 ≤ c ≤ 12 c < 4.5 or c > 12 c ≤ 4.5 or c ≥ 12

Answers

The compound inequality that represents the number of ounces of clay, "c", Elisa uses to make one vase of either size is [(c ≤ 4.5) or (c ≥ 12)].

As per the question statement, Elisa uses no more than 4.5 ounces of clay to make a small vase and at least 12 ounces of clay to make a large vase.

We are required to find out the compound inequality that represents the number of ounces of clay, that she uses to make one vase of either size.

Let the number of ounces of clay, that Elisa uses to make one vase of either size be denoted by "c".

Since, Elisa uses no more than 4.5 ounces of clay to make a small vase, The words "no more than" implies maximum, i.e., "either less than or equals to" and hence, for a small vase, "c" must be less than or equal to 4.5 oz, which gives \((c \leq 4.5)\) ...(1)

On the other hand, to make a large vase, she uses at least 12 ounces of clay where the words "at least" means minimum, i.e, "either more than or equals to" and hence, for a large vase,

Thus "c" is more than or equal to 12 oz, which gives \((c \geq 12)\)...(2)

Now, combining (1) and (2), we get [(c ≤ 4.5) or (c ≥ 12)] which is option "d".

compound inequality: In mathematics, a compound inequality is an inequality that combines or "compounds" two simple inequalities.

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A rental car company offers a rental package for a mid-size car. The cost is comprised of a fixed $40 administrative fee for the cleaning and maintenance of the car plus a rental cost of $45 per day. Using x for the number of days and y for the total cost in dollars, construct a linear function to model the relationship between the number of days and the total cost of renting a mid-size car.

Answers

Answer:

y=45x+40

Step-by-step explanation:

how many rectangles with an area of 10 square feet can fit within a large rectangle with dimensions 25 feet by 40 feet?​

Answers

Answer:

100 small rectangles

Step-by-step explanation:

Number of small rectangles = Area of large rectangle ÷ area of small rectangle

               \(= \frac{25*40}{10}\\\\= 25*4\\= 100\)

Brandon has 36000 to invest and wants to earn 5% interest per year. He will put some of the money into an account that earns 4.4% interest per year and the rest into an account that earns 6% interest per year. How much money should he put into each account so that he earns 5% annually

Answers

Answer:

The money in an account that earns 4.4% interest per year = 22500

The rest into an account that earns 6% interest per year = 13500

Step-by-step explanation:

Interest = Principal × Rate × Time

Let x = money saved in account A

Let y = money saved in account B

Brandon has 36000 to invest and wants to earn 5% interest per year

x + y = 36000..... Equation 1

x = 36000 - y

He will put some of the money into an account that earns 4.4% interest per year and the rest into an account that earns 6% interest per year.

Hence:

4.4% × x × 1 + 6% × y × 1 = 36000 × 5% × 1

0.044x + 0.06y= 1800....... Equation 2

Substitute 36000-y for x in Equation 2

0.044(36000 - y) + 0.06y = 1800

1584 -0.044y + 0.06y = 1800

-0.044y + 0.06y = 1800 - 1584

0.016y = 216

y = 216/0.016

y = 13500

Note that:

x = 36000 - y

x = 36000 - 13500

x = 2250

Therefore,

The money in an account that earns 4.4% interest per year = 22500

The rest into an account that earns 6% interest per year = 13500

The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 5, 13, 12. A larger triangle has side lengths of x, blank, 18. 6.9 7.5 10 11

Answers

Answer:

x = 7.5

Step-by-step explanation:

Dilation is a transformation in which the size of a given figure is either increased or decreased by a scale factor.

Given that the length of sides of the smaller triangle are; 5, 13, 12.

Given also that the length of the dilated triangle are; x, blank, 18.

Comparing the length of the last sides of the two triangles, we have;

(scale factor x 12) + 12

                        = (\(\frac{1}{2}\) x 12) + 12

                        = 6 + 12

                        = 18

Thus the scale factor for the dilation is \(\frac{1}{2}\). So that:

x = (\(\frac{1}{2}\) x 5) + 5

   = 2.5 + 5

   = 7.5

x = 7.5

And also,

blank = (\(\frac{1}{2}\) x 13) + 13

          = 6.5 + 13

blank  = 19.5

Therefore, the length of the sides of dilated triangle are: 7.5, 19.5, 18

Answer:

7.5

Step-by-step explanation

CUZ IMMA BIG BRAIN

Please do step by steps for each!

#1) Find the polynomial with roots at 2 and 6

#2) Find the polynomial with a double root at -3 and another root at 4

#3) Find the polynomial with roots 0, -3 and 5

Answers

Answer:

x² - 8x + 12x³ + 2x² - 15x - 36x³ -2x² - 15x

Step-by-step explanation:

#1) Find the polynomial with roots at 2 and 6

(x -2)(x - 6) = x² - 8x + 12

#2) Find the polynomial with a double root at -3 and another root at 4

(x+3)(x+3)(x-4) = (x²+6x+9)(x-4) = x³ + 2x² - 15x - 36

#3) Find the polynomial with roots 0, -3 and 5

(x -0)(x+3)(x-5) = x(x²-2x - 15) = x³ -2x² - 15x

1. 8.F.1.1

The equation of a function is f(x) = 6 +x.

What is the output when the input is 2?

Answers

When the input is 2 in the function f(x) = 6 + x, the output is 8.

In the given function, f(x) = 6 + x, the variable x represents the input or independent variable, and f(x) represents the output or dependent variable. To find the output when the input is 2, we substitute 2 into the function.

By plugging in 2 for x in the function f(x) = 6 + x, we get f(2) = 6 + 2. Simplifying the expression, we find f(2) = 8.

This means that when the input value is 2, the function evaluates to 8. The function f(x) adds 6 to the input value x, resulting in an output value equal to the sum of 6 and the input. Therefore, when the input is 2, the output of the function is 8.

To learn more about Expression - brainly.com/question/28170201

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