(Multiple Choice Worth 1 points) What is the simplified expression for:

Answer:

d² - 24d + c = (d - 12)² - 144 + c

Answer:

5 Seconds

Step-by-step explanation:

Aaron is able to run one yard per second faster than Eli

So if Eli gets a head start of 5 yards it will take Aaron 5 seconds to catch up to him.

The correct number line that displays the solution `x ≥ 3` would be:

 <------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>

       -10    -9     -8     -7     -6     -5     -4     -3     -2     -1     0      1      2      3      4      5      6      7      8      9     10

                                   ●------------------------------------------------>

The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.

The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.

It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.

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Answer:

1 unit = 3 inches

Step-by-step explanation:

We are given that 4 units = 12 inches.

This can be rewritten as 4x = 12

Then to solve for x, you divide 4 on both sides

so x = 12/4

x = 3

Let me know if you have any questions

Answer:

Step-by-step explanation:

4 units = 12 inches

1 unit = 12 ÷ 4 = 3 inches

Hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

The correct answer is 14.

The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.

Let's represent the total no of oranges by x.

Therefore ,

2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.

an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x

x = 12+4 or x-12 = 4

= 16

therefore amir got 16 oranges in all

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Answer:

They can all be used to prove congruency

Explanation:

SAS - which stands for

Side - Angle - Side

This means: Given two triangles with two know sides and one known angle, If the know sides and angle of both triangles are equal, then we cal conclude that the triangles are equal or congruent.

SSA - Stand for

Side - SIde - Angle

This also satisfies the congruency property

ASA - Stands for

Angle - Side - Angle

This also satisfies the congruency property

AAS - Stands for

Angle - Angle - Side

This also satisfies the congruency property

The 95 percent confidence interval is (0.20, 0.32).

a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:

Let p = proportion of yellow peas = 155/595 = 0.26

Sample size = n = 595

Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03

95% confidence interval = p ± 1.96 × SE

= 0.26 ± 1.96 × 0.03

= 0.26 ± 0.06

So, the 95% confidence interval is (0.20, 0.32).

b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.

Therefore, the 95 percent confidence interval is (0.20, 0.32).

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9514 1404 393

Answer:

  $2.50

Step-by-step explanation:

The question asks for the total cost of a notebook and pen together. We don't need to find their individual costs in order to answer the question.

Sometimes we get bored solving systems of equations in the usual ways. For this question, let's try this.

The first equation has one more notebook than pens. The second equation has 4 more notebooks than pens. If we subtract 4 times the first equation from the second, we should have equal numbers of notebooks and pens.

  (8n +4p) -4(3n +2p) = (16.00) -4(6.50)

  -4n -4p = -10.00 . . . . . . . . . . . simplify

  n + p = -10.00/-4 = 2.50 . . . . divide by the coefficient of (n+p)

The total cost for one notebook and one pen is $2.50.

__

Additional comment

The first equation has 1 more notebook than 2 (n+p) combinations, telling us that a notebook costs $6.50 -2(2.50) = $1.50. Then the pen is $2.50 -1.50 = $1.00.

One could solve for the costs of a notebook (n) and a pen (p) individually, then add them together to answer the question. We judge that to be more work.

Answer:

The domain is all real numbers

The range is  \(y \leq 3\)

Step-by-step explanation:

The domain is the values that the input can take.

X can be from - infinity to infinity

The domain is all real numbers

The range is the values that the output can take

Y can be from - infinity to 3

The range is  \(y \leq 3\)

Answer:

thats the diagram of landlines stocks in a nutshell

Step-by-step explanation:

hahaha

\(4r + 14 - r - 6\)

Combine Like Terms:

\((4r-r)+(14-6)\)

\(=\fbox{3r + 8}\)

Point slope form is written in [ y - y1 = m(x - x1) ]

m = slope

y1 = y point

x1 = x point

Best of Luck!

Answer

5^5=25

Step-by-step explanation

- 8 + 2(- 5)

- 8 - 10

= - 18

The correct answer is the second option

Answer:

Below

Step-by-step explanation:

A parbola with zeroes at 0 and 598 would look like this:

  f(x) = a ( x-0)(x-598)      at the midpoint 299   the value is 625

   625 = a (299) (299-598)      shows a = - 625/89401

-625/89401 (x)(x-598)   <======expand as necessary

Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

Answer:

\(area = 2 \times ( \frac{1}{2} \times 1.5 \times 7) + (8 \times 7) \\ = 10.5 + 56 \\ = 66.5 \: sq \: units\)

\( \small{ \star{ \underline{ \blue{becker}}}}\)

Answer:

45.5 u²

Step-by-step explanation:

first we need to find the base of the triangle so we subtract 8-5=3, now since its 2 triangles we divide by 2 and we get 1.5 for each base of the triangles

area for a triangle: A=bh/2

A=(1.5)(7)/2

since its 2 triangles then multiply by 2

A= 10.5 u²

area for a rectangle: A=bh

A=(7)(5)

A= 35 u²

35+10.5 = 45.5 u²

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

Answer:

43.96 or C

Step-by-step explanation:

c=(pi)(d)

pi --> 3.14

d --> diameter (in your case 14.)

c=3.14*14

c= 43.96

Both formulas work, 2(pi)r and (pi)(d)

But, if they give you the diameter then use (pi)(d).

If they give you the radius then use 2(pi)r

1. Table 4 values shows a Linear function.

2. 6 seconds faster were the runner in Group 2 than runners in Group 1.

Linear function are those which are in the form of f(x) = x ( here the line is passing through the origin )

Also Linear function can be in the form of y = mx + c where 'm' is the slope of the given line and 'c' is constant.

1. In the table 4 we conclude that:

y = f(x)

f(2) = 4         -------- point is ( 2, 4)

f(4) = 6         -------- point is ( 4, 6)

f(6) = 8         -------- point is ( 6, 8)

f(8) = 10        -------- point is ( 8, 10)

for the points to be in a line their slope must be equal:

Slope of line from point (2, 4) and (4, 6):

Slope = ( y2 - y1 )/ (x2 - x1)

Slope = ( 6 - 4 )/(4-2)

Slope = 2/2 = 1

Similarly,

Slope of line from point (4, 6) and (6, 8):

Slope = ( 8- 6 )/(6-4)

Slope = 1

Same as for points (6, 8) and (8,10)

Slope = 1

here the slop of the all points are same, so they lie on a single line and forms a linear equation in form of y = mx + c.

Hence, Table 4 values shows a Linear function.

2.  Here we have given the data:

For group 1: 55 68 64 66 70

For group 2: 56 58 59 61 57

Average or Geometric mean :

Sum of all the observation / number of observation

Average for Group 1 = ( 55 + 68 +64 +66 + 70)/5

Average for Group 1 = 64.6

Average for Group 2 = (56 + 58 + 59 + 61 +  57)/5

Average for Group 2 = 58.2

Difference between the Average of group 1 and group 2: 6.4.

in whole number 6 seconds.

Hence,

6 seconds faster were the runner in Group 2 than the runners in Group 1.

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Answer:

g(x)=x-2/x^2-9

If there is more than one value, separate them with commas.

Step-by-step explanation:

The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.

The given tiles in bag-1 = {2, 4, 5, 8, 9}

Total number of tiles in bag-1 = 5

The number of tiles less than number 3 in the bag - 1 = 1

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 1/3

The given tiles in bag-2 = {0, 1, 3, 6, 7}

Total number of tiles in bag-2 = 5

The number of tiles less than number 3 in the bag-2 = 2

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 2/3

From the above analysis, we solved the problem.

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Answer:

Pizza eaten together: 5/6,

Pizza left over: 1/6

Step-by-step explanation:

~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~

1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra

2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.

3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = Pizza eaten together: 5/6

4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the Partition Postulate. In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).

5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = Pizza left over: 1/6

Answer:

How much did they eat all together? 5/6

How much was left over? 1/6

\( \\ \)

Step-by-step explanation:

How much did they eat all together?

\( \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} \)

\( \\ \)

How much was left over?

\( 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} \)

Answer:

Step-by-step explanation:

110

Answer:

11/16

Step-by-step explanation:

There are 9 red crayons, 2 blue crayons, and 5 yellow crayons. We can represent this as a ratio of 9:2:5. Now we have to combine the red crayons and blue crayons so it's 11 red and blue crayons: 5 yellow crayons OR 11:5. Then we add those two values to find out the number of crayons there are, and there are 16. So out of 16 times, you will pick up a red or blue crayon 11 times. So this fraction is 11/16 which is already its simplest form.

Let me know if you have any questions

Answer:

11/16 probability

Step-by-step explanation:

9+2+5=16 Crayons total.

The Probability for a red crayon to be chosen is a 9/16 chance.

The Probability for a blue crayon to be chosen is a 2/16(1/8 simplified) chance.

The probability for a yellow crayon to be chosen is a 5/16 chance.

The probability for a red or a blue to be chosen is an 11/16 chance.

Hope this isn't too confusing and helps

The value of x⁵ in the expansion of (2x + 3) (x - 2)⁶ is 48.

Given,

The expression: (2x + 3) (x - 2)⁶

We have to find the value of x⁵ in the expansion .

(x - 2)⁶ = ∑(n = 6 and n = 0) (⁶ₙ) xⁿ

First calculate the coefficients of x⁴ and x⁵

Calculate the coefficient of x⁴ in (x - 2)⁶  (⁶₄) = 6! / 4!2! = 720/48 = 15

Calculate the coefficient of x⁵ in (x - 2)⁶ (⁶₅) = 6! / 5!1! = 720/120 = 6

Now,

2 x 15 + 3 x 6 = 30 + 18 = 48

That is,

The value of x⁵ in the expansion of (2x + 3) (x - 2)⁶ is 48.

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Answer:

add sum of all the angle given