Karen is adding a border to a rectangular poster. The border will have a uniform width of X inches and run along all four sides, so Karen uses the functions land wto model the length and width, in inches, of her poster after she adds the border. l(x) = 2x+ 18 W(x) = 2x+ 24 Which function correctly represents the total area, in square inches, of Karen's poster, when a border x inches wide is included in the area?

A. A(X) = 4x + 432

B. A(X) = 4x2 + +42x + 432

C. A(x) = 4x2 + +84x + 432

D. A(x) = 4x + 432​

Answers

Answer 1

Answer:

B. A(x) = 4x² + 42x + 432

Step-by-step explanation:

The area is the product of the width and the length:

A(x) = (2x + 18)(2x + 24) = 4x² + 42x + 432

Correct choice is B


Related Questions

The bearing of ships A and B from a port are 225degree and 116 degree respectively ship A is 3.9km from ship B on a bearing of 258 degree calculate the distance of ship A from Port p

Answers

Answer:

Distance of A from P =  2.55 Kilometers

Step-by-step explanation:

Find the attached solution

if a dog weighs 55 pounds how many kilograms would it weigh

Answers

Answer:

24.9475803

Step-by-step explanation:

Find the student’s error in solving the following inequality.
31 < –5x + 6
25 < –5x
–5 < x

The student should have added 6 to both sides instead of subtracting it.

The student divided 25/–5 incorrectly.

The student should have switched the direction of the inequality sign to get –5> x for a final answer.

Answers

Answer:

The student should have switched the direction of the inequality sign to

get –5 > x for a final answer.

Step-by-step explanation:

When multiplying or dividing an inequality by a negative "flip" the inequality sign

The student should have switched the direction of the inequality sign to

get –5 > x for a final answer.

---------------

Note:

For a more conventional appearance the entire inequality can be flipped to

–5 < x

If a cylinder has a height of 7 m and its base has a radius of 6 m, what is its volume? Use 3.14 for 5 and
round the answer to the nearest whole number.
O 490 m3
791 m3
923 m3
1,583 m3

Answers

Answer:

Step-by-step explanation:

What is the length of the missing leg?

Answers

The answer is 12. Let me know if you need an explanation

5. Determine whether the sequence is arithmetic. If so, find the common difference.
1/9, 5/9, 25/9, 125/9, 625/9,...
A. 25/9
B. 625/9
C. 5/9
D. 4/9
E. The sequence is not arithmetic.​

Answers

Answer:

d mgdyhdsyii3uhf4t3h.

in the adjoining figure ABC is right angled and triangle and B C D E is a rectangle .if ed= 24 cm then a triangle ∆ABC= 45 cm and BC = 7 cm find the length of ad​

Answers

Answer:

Step-by-step explanation:

2

A coin is tossed 116 times. Heads appears 29 times. What is the experimental probability of getting heads?

Btw 40 pts for this :NOT A SCAM

Answers

Answer: 29/116

Step-by-step explanation:

solve for the value of c

Answers

Answer:

C = 11

Step-by-step explanation:

90 - ( 8 + -6 ) = 88

88 / 8 = 11

:)

Yuyyyy and the kids were going out and they are doing well in my life so I’m going out of the house to see the house so we could get together for dinner or dinner and dinner at my moms and I would like to go with dinner with us tonight or we could meet at my place and I could come by the office to get a table for the kids and then I can come in the house for dinner

Find two values for k such that the trinomial x2 – 7x + k can be factored over the integers. Explain your reasoning.

Answers

Answer:

1) For [tex]a = 1[/tex]: [tex]b = 6[/tex] and [tex]k = 6[/tex], 2) For [tex]a = 3[/tex]: [tex]b = 4[/tex] and [tex]k = 12[/tex]

Step-by-step explanation:

The polynomial [tex]y = x^{2} - 7\cdot x + k[/tex] is a second-order polynomial of the form [tex](x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b[/tex]. By direct comparison, we construct the following system of equations:

[tex]a + b = 7[/tex] (1)

[tex]a\cdot b = k[/tex] (2)

By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both [tex]a[/tex] and [tex]b[/tex] are integers. We assume two arbitrary integers for [tex]a[/tex]:

1) [tex]a = 1[/tex]

[tex]b = 7 - a[/tex]

[tex]b = 6[/tex]

[tex]a\cdot b = k[/tex]

[tex]k = (6)\cdot (1)[/tex]

[tex]k = 6[/tex]

2) [tex]a = 3[/tex]

[tex]b = 7 - a[/tex]

[tex]b = 4[/tex]

[tex]a\cdot b = k[/tex]

[tex]k = (3)\cdot (4)[/tex]

[tex]k = 12[/tex]

A line passes through the points (0, 7) and (2, 3). Given this information, complete the equation below (y= mx+b) by determine the slope and y-intercept.

Answers

Answer:

y = -2x + 7

Step-by-step explanation:

Given: (0, 7) and (2, 3)

Using the slope-intercept formula: y2-y1/x2-x1

3-7/2-0 = -4/2 = -2

Y-intercept:

Use y= mx + b to find the y-intercept (b). For this, I will be using the coordinates (2, 3). Plug 2 into x and 3 into y, then solve.

3 = -2(2) + b

3 = -4 + b

7 = b

Form the equation together:

y = -2x + 7

graph a
graph b
graph c

Answers

Answer:

c the graph c is the answer

Here is a list of ages (years) of children in a room:
3, 3, 4, 4, 7, 5, 9
State the median.

Answers

The Median is 4 :))))))))

Can someone help me pla

Answers

I believe the answer is B!

Hope this helped!
the answer to the question is b

Distribute 10 (1 + 8x2).

Answers

Answer:

170

Step-by-step explanation:

8x2 is 16 plus 1 is 17 times 10 is 170. PEMDAS

1. Round 9.39 to the nearest whole number
2. what is the value of the expression 4^3+9 times 6

Answers

Answer:

Step-by-step explanation:

1.  The digits 39 are less than 50.  Round 9.39 to 9 (nearest whole number).

2.  4^3+9 times 6    This is an order-of-operations problem.  We must do exponentiation before multiplication and division, and addition and subtraction must follow multiplication and division.

4^3 = 64, so we have 64 + 9(6).

Must do multiplication before addition:  64 + 54 = 118

Tina sells lampshades for $7 each and paper lanterns for $4 each at a one-day craft fair. She sells k lampshades and (k + 4) paper lanterns. The expression 7k + 4(k + 4) represents Tina’s total sales. Select all the equivalent expressions for Tina’s total sales at the fair

7k + 4k + 4
7k + 4k + 4
11k + 16
11k + 16
7k + 4k + 16
7k + 4k + 16
8k + 16
8k + 16
11k + 4

Answers

Answer: 11k + 16 and 7k + 4k + 16

Step-by-step explanation: if we distribute the 4 first we get

7k+4k+16

we can aslo combine the k's to get

11k+16

hope this is helpful (^_^)

Which inequality is equivalent to −<7 - y < 7 ?

Answers

Answer: you didn't provide anything for us to answer

Step-by-step explanation:

100 POINTS!!!!!!
which concept best identifies american attitudes about world war 1 when the war began in europe

A isolation
B imperialism
C militarism
D nationalism

Answers

Isolationism is what identified America in that moment.

Hope this helps!

Have a fabulous day!

Right triangle ABC is shown. Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.

Answers

Question:

Obtian the equation that can be used to solve for c

Answer:

Sin50 = 3/c

Step-by-step explanation:

A triangle showing the information given has been attached below for clarity :

Using trigonometry :

AC = 3 = opposite side of angle 50°

AB = c = hypotenus

Using the sine relation of a right angled triangle :

Sin θ = opposite / hypotenus

θ = 50°

Sin 50° = 3 / c

Sin50 = 3/c

Uh plz help ;-;




Plzzzzz

Answers

Answer:

B)

the (8+7) x (10 + 7) x (6 + 4)

Step-by-step explanation:

Answer:

D- (8×10×6) + (7×7×4)

Step-by-step explanation:

The formula for volume is Length×Width×Height.

So you have to find the volume for each one individually then add them up together.

(You can give the other person brainliest if u want.)

Hope it Helps!

:)

A butcher purchases 50 chicks at the rate of Ts.60 per chick.10 of them died and he sold remaining chicks at the rate of Rs.80 per chick. Find profit or loss percentage.

Answers

Answer: 6.25%

Step-by-step explanation:

50 chicks were purchased at Rs. 60. The total cost of the chicks is:

= 50 * 60

= Rs. 3,000

10 of the chicks died which means the farmer was left with 40 chicks.

These chicks are sold at Rs. 80. Total revenue from the sales are:

= 40 chicks * 80

= Rs. 3,200

The profit is:

= 3,200 - 3,000

= Rs. 200

The percentage is:

= Profit / Revenue

= 200 / 3,200

= 6.25%

Which of the following represents an equation? *

a. 3x + 13 - 5
b. 3 + 11 = 14
c. x + 14
d. x/5 - 2

Answers

i think the answer is b!!!!!!

Jada saw a music video that her favorite artist recently posted online. The equation v(t)=320⋅4t represents the number of views v of the video, t days since Jada saw the video.


Part A: Find v(−2).

Answers

Answer:

v(-2) = 20

Step-by-step explanation:

The number of viewers, in t days after Jada saw the video, is given by:

[tex]v(t) = 320*(4)^{t}[/tex]

Find v(−2).

This is v when [tex]t = -2[/tex]. So

[tex]v(-2) = 320*(4)^{-2} = \frac{320}{4^2} = \frac{320}{16} = 20[/tex]

So

v(-2) = 20

PLEASE HELP!!!!!!! NO LINKS I will report links

Answers

Answer:

Not sure but I think

Surface area = 46

Volume = 4 2/3

Solve for x in the diagram below.

Answers

Answer:

x = 9

Step-by-step explanation:

The parallel lines divide the sides of the triangle in proportion, that is

[tex]\frac{20-8}{x}[/tex] = [tex]\frac{8}{6}[/tex]

[tex]\frac{12}{x}[/tex] = [tex]\frac{8}{6}[/tex] ( cross- multiply )

8x = 72 ( divide both sides by 8 )

x = 9

Sarah has 11 ¼ lb of dry dog food. She will put an equal amount of food into 3 containers. How much food will be in each container?

Answers

Answer:

3 3/4 lb

Step-by-step explanation:

11 ¼ lb ÷ 3

11 ¼ lb x [tex]\frac{1}{3}[/tex]

convert 11 ¼ lb to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

[tex]\frac{45}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{15}{4}[/tex] = 3 3/4 lb

15 x b = 60 explanation

Answers

Answer:

x = 4

( if you need a better explanation ask me and i'll give you a different one) :)

Step-by-step explanation:

15 x b = 60

15 x b divided by 15 = 60 divided by 15 to get the 15 from one side to the other

x=4

which Is the correct answer? ( links = report )

Answers

Answer: B

Step-by-step explanation: Hope this help :D

Hexagon
apothem = 15
side = 17.3
Find the area of this regular polygon. (Round to one decimal spot if necessary)

Answers

Answer:

778.5

Step-by-step explanation:

Area of any regular polygon = ( apothem * side length * number of sides ) divided by 2

Given information:

Apothem = 15

Side length = 17.3

Polygon Type = Hexagon ( its important to note that a hexagon has 6 sides )

* Plug in the given values into the formula *

Area = [tex]\frac{15*17.3*6}{2}[/tex]

15 * 17 = 259.5

259.5*6=1557

[tex]\frac{1557}{2} =778.5[/tex]

Hence, area = 778.5 square units

Answer:

778.5

Step-by-step explanation:

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