I dont understand even where to begin on this, please help!​

I Dont Understand Even Where To Begin On This, Please Help!

Answers

Answer 1

Answer:

-17

Step-by-step explanation:

The average rate of change is synonymous to the slope of a function.

We want to find the average rate of change for the function:

\(f(x)=-2x^2-3x-8\)

For the interval [3, 4]

So, we simply have to calculate the values of the function at the endpoints and then find the slope between them.

Our endpoint values are x=3 and x=4. So:

\(\begin{aligned} f(3)&=-2(3)^2-3(3)-8 \\ f(3)&=-18-9-8 \\ f(3)&=-35\end{aligned}\)

And:

\(\begin{aligned} f(4)&=-2(4)^2-3(4)-8 \\ f(4)&=-32-12-8 \\f(4)&=-52\end{aligned}\)

So, we have the two points (3, -35) and (4, -52).

Now, we can use the slope formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Calculate the slope:

\(m=\frac{-52-(-35)}{4-3}=-17/1=-17\)

Hence, the slope or the average rate of change for our function for the interval [3, 4] is -17.


Related Questions

how do you find answer to 9/35 - 1/5?​

Answers

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Describe the sampling distribution of Phat. Assume the size of the Population is 25,000. N = 500 P = 0.4 Determine the Mean of the sampling distribution of Phat. Determine the standard deviation of the sampling distribution of Phat.

Describe the sampling distribution of Phat. Assume the size of the Population is 25,000. N = 500 P =

Answers

Answer:

0.022

Step-by-step explanation:

Given that :

Population size = 25000

n = 500 ; p = 0.4

Size of random sample (n) = 500

5% of population size : 0.05 * 25000 = 1250

Distribution is normally distributed since n < 5% of population size

Hence, the mean of the distribution = p = 0.4

Standard deviation = √((pq) /n)

q = 1 - p ; q = 1 - 0. 4 = 0.6

Standard deviation = √((0.4 * 0.6) /500)

Standard deviation = 0.0219089

= 0.022

evaluate if y=4 and z= -2 7y+z=?

Answers

Answer:

26

Step-by-step explanation:

7(4)+-2

28-2=26

Step-by-step explanation:

y = 4 and z = -2

\( = 7y + z\)

\( = 7 \times 4 + ( - 2)\)

\( = 28 - 2\)

\( = 26...\)

Please help!! (Solve for x)

Please help!! (Solve for x)

Answers

The value of x using the theorem of intersecting secants is 10

How to calculate the value of x

From the question, we have the following parameters that can be used in our computation:

intersecting secants

Using the intersecting secants equation, we have

8 * (8 + x) = 6 * (6 + 18)

Evaluate the like terms

So, we have

8 * (8 + x) = 6 * 24

Divide both sides by 8

8 + x = 6 * 3

So, we have

8 + x = 18

Subtract 8 from both sides

x = 10

Hence, the value of x is 10

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Find the area of the kite

Find the area of the kite

Answers

The answer is 54 units
Answer: 54
9x3x2 is 54

If the surface area of a cube is 384, what is the length of one of the sides of
the cube?

Answers

Answer:

S = 8

Each side of a face is 8 units.

Step-by-step explanation:

The surface area of the cube is 384 units.

One face of the cube has an area of s^2

A cube has 6 faces

6s^2 = 384                                 Divide by 6

s^2 = 384 / 6

s^2 = 64                                     Take the square root of both sides

sqrt(s^2) = sqrt(64)

s = 8

Answer:

8 units

Step-by-step explanation:

Area of 1 side = 384 ÷ 6 = 64 sq units

Length of 1 side = sq.rt. (64) = 8 units Answer

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, determine the interval that would represent the middle 95% of IQ scores.

Answers

Answer:

About 95% of individuals have IQ scores in the interval 100 ± 2 ( 15 ) = [ 70 , 130 ] .

Step-by-step explanation:

hope this helps

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical

The following graph describes function 1, and the equation below it describes function 2:

Function 1
graph of function f of x equals negative x squared plus 8 multiplied by x minus 15

Function 2
f(x) = −x2 + 2x − 3

Function ____ has the larger maximum.

(Put 1 or 2 in the blank space)
Answer:

Answers

Answer:

Function 1 written in vertex form is f(x) = -x^2 + 8x - 15 = -(x^2 - 8x + 15) = -(x^2 - 8x + 16 + 15 - 16) = -(x - 4)^2 - (-1) = -(x - 4)^2 + 1

Therefore, vertex = (4, 1)

Function 2 written in vertex form is f(x) = -x^2 + 4x + 1 = -(x^2 - 4x - 1) = -(x^2 - 4x + 4 - 1 - 4) = -(x - 2)^2 - (-5) = -(x - 2)^2 + 5

Therefore vertex = (2, 5)

Function 1 has a maximum at y = 1 and function 2 has a maximum at y = 5. Therefore, function 2 has a larger maximum.

Step-by-step explanation:

A local farm has a 0.5 acre field that was planted with 26,100 corn plants. One acre is equivalent to 43,500 square feet. Assuming the same planting density, how many corn plants could they plant on a field with an acre of 80,000 square feet

Answers

Answer:

96000 corn

Step-by-step explanation:

80,000/43500 = 1.84

1.84/0.5 = 3.678

3.678 x 26100 = 96000

A 39 -ft ladder leans against a building so that the angle between the ground and the ladder is 85∘

How high does the ladder reach the building? __________ ft

Answers

The height of the building is 38.85 ft.

Given;

length of the ladder, x = 39 ft

the angle between the ground and the ladder, θ = 85°

let the height of the building be h.

Construct this triangle, the ladder forms the hypotenuse side of the right angle triangle, the height of the triangle is the opposite side of the triangle while the base of the triangle is the adjacent side of the triangle.

Apply the following trig ratio to determine the height of the triangle;

sin(θ) = opposite/hypotenuse

sin(85°) = h/39

h = 39sin(85°)

h = 38.85 ft

Therefore, the height of the building is 38.85 ft (approx.).

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X ^2 -10x+9 find the Axis of symmetry and vertex

Answers

Step-by-step explanation:

the function is

x² - 10x + 9

the x value for the axis of symmetry of a quadratic equation is

ax² + bx + c

x = -b/(2a)

in our case

a = 1

b = -10

x = - -10/2 = 10/2 = 5

x=5 is the axis of symmetry.

for the vertex we need also the y :

y = 5² - 10×5 + 9 = 25 - 50 + 9 = -16

the vertex is

(5, -16)

translated 1 unit right and five units down

Answers

Answer:

y'=|x-5|-1

Step-by-step explanation:

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multiply 725base 9× 367base 9​

Answers

Answer:

Hello,

Answer 303028

Step-by-step explanation:

Multiplication in base 9

\(\begin{array}{cccccc}9^5&9^4&9^3&9^2&9^1&9^0\\--&--&--&--&--&--\\&&&7&2&5\\&&&3&6&7\\--&--&--&--&--&--\\&&5&5&8&8\\&4&7&6&3&\\2&3&7&6&&\\--&--&--&--&--&--\\3&0&3&0&2&8\end{array}\)

Prove that (sinθ-cosθ)^2(sinθ+cosθ)^2 = 2​

Answers

Step-by-step explanation:

(sinθ + cosθ)^2 + (sinθ − cosθ)^2

= (sin^2 θ + cos^2 θ + 2sinθ cosθ)+(sin^2 θ+cos^2 θ − 2sinθ cosθ)

= (1 + 2sinθ cosθ) + (1 − 2sinθ cosθ)

= 1 + 2sinθ cosθ + 1 − 2sinθ cosθ

= 1 + 1 = 2

Therefore, (sinθ+cosθ)^2 + (sinθ−cosθ)^2 = 2

For each of the following relations, i) state whether the relation is an equivalence relation and ii) if it is an equivalence relation, list the blocks of its corresponding partition, and if it is not, list all of the properties (reflexive, symmetric, transitive) it violates. In all cases, the relations are on the set A = {1, 2, 3, 4}
a. {(1, 1), (1,4), (2, 2), (3, 3), (4, 1), (4, 4)}
b. A x A
c. {(1, 1), (2, 2), (3, 1), (1, 3), (4, 4)
d. ({2, 3} x A) U ((1, 1), (4, 4)}

Answers

a. The relation is an equivalence relation, and its corresponding partition has blocks {1, 4}, {2}, and {3}.

b. The relation is not specified.

c. The relation is not an equivalence relation because it is not transitive.

d. The relation is not an equivalence relation because it is not reflexive.

a. The relation is an equivalence relation because it is reflexive, symmetric, and transitive. The blocks of its corresponding partition are {1, 4} and {2} and {3}.

b. The relation is not specified, so it is impossible to determine whether it is an equivalence relation or not.

c. The relation is not an equivalence relation because it is not transitive. Specifically, (3, 1) and (1, 3) are in the relation, but (3, 3) is not.

d. The relation is not an equivalence relation because it is not reflexive (i.e., 1 and 4 are not related to themselves).

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A bag contains 3 gold marbles, 5 silver marbles, and 26 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if you play this game?

Answers

The expected value if you play this game will be -$0.205.

Let the number of gold, silver, and black marbles be P1, P2, and P3, respectively.

Given, The bag contains,

Number of gold marbles (P1)  = 3

Number of silver marbles (P2) = 5

Number of black marbles (P3) = 26

Also given,

The winning value if a gold marble is selected = $3

The winning value if a silver marble is selected = $2

The losing value if a black marble is selected = $1

Probability = Expected value/ Sum of the total number of events

Probability of picking a gold marble,

P1 = 3/ (3+ 5+ 26)

   = 3/34.

Probability of picking a silver marble,

P2 = 5/ (3+ 5+ 26)

   = 5/34.

Probability of picking a black marble,

P3 = 26/ (3+ 5+ 26)

   = 26/34.

The expected value if you play the game will be,

Value = ($3) P1 + ($2) P2 + (-$1) P3

         = ($9/34) + ($10/34) - ($26/34)

         = - ($7/34)

         = -$ 0.205

Thus, you will face a loss of 0.205 cents.

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Mixed nuts sell for $7.89 a pound. Leticia fills a bag and weighs it. The bag weighs 2.3 pounds.

About how much will the bag of nuts cost?


Estimate $7.89(2.3).

$8
$12
$16
$24

Answers

Answer:

i think the answer is 18.15

Step-by-step explanation:

What is the (square root of 12) squared minus 3 equal

Answers

Answer:

0.46410161514

Step-by-step explanation:

Just search up square root of 12 and then subtract 3 from it.

255.792 in standard form

Answers

The answer would be 2.55792x10^2.

A line has 2/3 and y intercept -2 which answer is the equation of the line

Answers

Answer:

A line has a slope of 2/3 and y–intercept -2. The equation of the line is y = (2/3)x - 2.

Step-by-step explanation:

Hope this helps

Answer:

y = (2/3)x - 2

Step by step explanation:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

Given, slope of the line is 2/3

y-intercept is -2.

The equation of the line in slope-intercept form is given by

y = mx + c

Where, m is the slope

c is the y-intercept.

y = (2/3)x - 2

Find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

Answers

The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.

Let l be the length and w be the width of the rectangular garden.

We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

The perimeter of the  rectangular garden = 300 meters

We know that the perimeter of the rectangle =2(length + width)

300 = 2(l + w)

l + w = 150               .......(1)

Now, the maximum area of a  rectangular garden is when Length  = width

So, for equation 1

l + l = 150

l = 75 meters

So, w = 75 meters

And the area of the rectangular garden = length * width

                                                               = 75 * 75

                                                               = 5625 m²

So the maximum area of the  rectangular garden is 5625 m²

Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is  5625 m²

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Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.

Answers

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

You have just been approved for a 30 year 5.5% fixed home mortgage. The monthly payment that you qualify for is $879.32. Use the table provided to determine the price of a home that can be purchased. A 5-column table with 4 rows titled Monthly Payments per 1000 dollars of mortgage. Column 1 is labeled Interest Rate (percent) with entries 5, 5.5, 6, 6.5. Column 2 is labeled 10 Years with entries 10.61, 10.86, 11.11, 11.36. Column 3 is labeled 20 years with entries 6.60, 6.88, 7.17, 7.46. Column 4 is labeled 30 years with entries 5.37, 5.68, 6.00, 6.33. Column 5 is labeled 40 years with entries 4.83, 5.16, 5.51, 5.86. a. $154,267 c. $156,753 b. $154,810 d. $157,153

Answers

Answer:

  b.  $154,810

Step-by-step explanation:

You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.

Table

The given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.

  p = (P/1000)×m

Application

The table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...

  1000p/m = P

  1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810

You qualify for a loan of $154,810.

__

Additional comment

The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).

By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.

What is equation?

A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.

To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.

According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.

Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:

Mortgage amount = monthly payment / mortgage payment per $1000

$879.32 mortgage amount / $5.68 per $1000

Loan amount = $154,810

As a result, the purchasing price of a house is $154,810.

As a result, the answer is (b) $154,810.

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Multiply binomials (10 points) please help ASAP

Multiply binomials (10 points) please help ASAP

Answers

Answer:

9x ^2 + 33x + 28

Step-by-step explanation:

(3x + 7)(3x + 4)

9x^2+ 21x+ 12x + 28

9x^2 + 33x + 28

Hope it helps!

Step-by-step explanation:

(3x+7)(3x+4)

9x²+21x+12x+28

9x²+33x+28

WILL MARK BRAINLIEST!!!
A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake
after exploding at its maximum height.
The rocket's height above the surface of the lake is given by:
g(x) = -16x² + 64x + 80
How long does it take for the rocket to reach its maximum height?

WILL MARK BRAINLIEST!!!A fireworks rocket is launched from a hill above a lake. The rocket will fall

Answers

Answer:

2 seconds

Explanation:

Equation: g(x) = -16x² + 64x + 80

In order to find the maximum:

vertex : -b/2a

           = -64/2(-16)

           = -64/-32

           = 2

Maximum Height:

= -16(2)² + 64(2) + 80

= 144 ft

The vertex should be maximum as a is negative and parabola opening downwards

So

x coordinate of vertex

-/2a-64/-322

y coordinate is max height

-16(2)²+64(2)+80-16(4)+128+80-64+128+80128+16144ft

Vertex at (2,144)

The rocket would take 2s

What is the equation of the line in slope intercept form?

What is the equation of the line in slope intercept form?

Answers

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Kurt recorded the amount of rainfall in each month for one year. What was the total rainfall that​ year?

Answers

Answer:wheres the question

sadStep-by-step explanation:

sadsadsa

The milligrams of aspirin in a person's body is given by the equation a = 500*(3/4^t), where t is the number of hours since the patient took the medicine.
In the equation, what does 500 tell us about the situation?


SOMEONE ANSWER PLS!!

Answers

500 represents the initial amount of medication, since when t=0, a=500.

Find the value of 6 x c when c = 4

Answers

If c=4 then the equation would be 6x4, which equals 24.

in an equilateral triangle the first side is x+1, second side is 2x+4, the third side is 3x+y, find the value of x and y

Answers

The value of x is -3 and y is 7 for equilateral triangle having x+1, 2x+4 and 3x+y sides.

We can use the fact that an equilateral triangle has equal lengths on each of its three sides to determine the values of x and y.

Given:

First side=x+y

second side= 2x+4

third side=3x+y

An equilateral triangle has three equal sides, hence the following equations can be constructed:

x + 1 = 2x + 4

2x + 4 = 3x + y

Let's tackle each of these equations separately:

x + 1 = 2x + 4

We will subtract x from both sides and subtract 4 from both sides in order to solve this equation:

x + 1 - x = 2x + 4 - x

1 = x + 4

By taking 4 away from both sides, we arrive at:

1 - 4 = x + 4 - 4 , -3 = x

Therefore, x has been determined to be -3.

Now, substitute the value of x in the second equation:

2x + 4 = 3x + y

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

-6 + 4 = -9 + y

-2 = -9 + y

y = -2 + 9

y = 7

So, we determined that y has a value of 7.

As a result, the values of x and y are, respectively, x=-3 and y=7

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Answer:

Step-by-step explanation:

In an equilateral triangle all sides are equal.

So each of these sides (and their equations are equal to each other.)

To find x - set the first two (as they only involve x) equal to each other and solve.

x + 1 = 2x + 4

x -x + 1 = 2x - x + 4

1 = x + 4

1- 4 = x + 4 - 4

-3 = x

Then substitute -3 for x in the last equation to find y, also setting it equal to one of the other equations.

3(x) + y = x + 1

3(-3) + y = -3 + 1

-9 + y = -2

-9 + 9 + y = -2 + 9

y = 7

so x = -3 and y equal 7

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