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masha68 [24]
4 years ago
6

you are in the research and development department at Jiffy Pop. the company is trying to come up with the new and improved popc

orn box to produce for movie theaters. The goal is to create a box with a with two in less than the length and width the height 5 in greater than the length the volume of the Box must be 24 cubic inches in order to hold enough popcorn.
Mathematics
1 answer:
Monica [59]4 years ago
7 0
Let L be the length of the box that the company aims to manufacture. With this representation, the width of the box is equal to L - 2 and the height is equal to L + 5. The volume of the box is equal to the product of the length, width, and height. That is,
                          A = L x (L - 2) x (L + 5) = 24

The value of L from the equation is 3 inches. 

The dimension of the box are as follow: 
length = L = 3 inches
width = L - 2 = 1 inch
height = L + 5 = 8 inches

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Oduvanchick [21]
If it was line symmetry it would need to repeat the same shape twice, which the first follows but the second doesn’t.
if it was rotational, you would need to be able to take the shape in the top right and rotate it counterclockwise or clockwise to get the shape that locks in place. that doesn’t follow that.
both line and rotational symmetry is incorrect because the first example would need to lock up inside the right side of that example.

the answer is C
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3 years ago
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Answer:

−672x2y2

Step-by-step explanation:

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Write the equation of the line that passes through the points (−1,−6) and (−5,1). Put your answer in fully reduced point-slope f
dem82 [27]

Answer:you get two answers. y+6=-7/4(x+5) or y-1=-7/4(x+5)

Step-by-step explanation:

By the way the 7/4 is negative if you could not tell. You get this answer by finding the slope which is 1- -6/-5- -1 and get -7/4. Then you plug it into the formula y-y1=slope(x-x1). When you plug it in you should get that answer.

7 0
3 years ago
For funcitons f(x)=2x+3 and g(x)=-3x-2, please find (f∘g)(-1)
ratelena [41]

Answer:

\displaystyle (f\circ g)(-1) = 5

Step-by-step explanation:

We are given the two functions:
\displaystyle f(x) = 2x + 3\text{ and } g(x) = -3x - 2

And we want to find:
\displaystyle (f\circ g)(-1)

Recall that this is equivalent to:
\displaystyle (f\circ g)(-1) = f(g(-1))

Hence, find g(-1):
\displaystyle \begin{aligned} g(x) & = -3x - 2\\ \\ g(-1) & = -3(-1) - 2\\ \\ & = (3) - 2 \\ \\ & = 1 \end{aligned}

Substitute:
\displaystyle f(g(-1)) = f(1)

Find f(1):

\displaystyle \begin{aligned} f(x) & =  2x+ 3 \\ \\ f(1) & = 2(1) + 3 \\ \\ & = 5\end{aligned}

In conclusion:
\displaystyle (f\circ g)(-1) = 5

5 0
3 years ago
Complete the two column proof.
Slav-nsk [51]
I think the answers to the second column are as follows:

<span>1. definition of a supplementary angle
 
2. Addition property of equality

3. division property of equality
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I hope my answer has come to your help. God bless and have a nice day ahead!
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4 years ago
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