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Tatiana [17]
3 years ago
13

(a+4)² - 3² Factored out

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0

Answer:

a =  - 7

a =  - 1

Step-by-step explanation:

(a+4) {}^{2}  - 3 {}^{2}  \\ a {}^{2}  + 8a + 16 - 9 \\ a {}^{2}  + 8a + 7 \\ a {}^{2}  + a + 7a + 7 \\ a(a + 1) + 7(a + 1) \\ (a + 7)(a + 1) \\ a + 7 = 0 \:  \:  \:  \: or \:  \:  \:  \: a + 1 = 0 \\ a =  - 7 \:  \:  \:  \: \:  \:  \:  \:  or \:  \:  \: a =  - 1

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riadik2000 [5.3K]

Answer: A company saves $134.38 by choosing to make 50 of Box 2 instead of Box 1

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of both boxes.

<em>Surface area (A) = 2wl + 2lh + 2hw, </em>

Where w is width, l is length , and h is height.

  • Box 1 = A = 2(6x20) + 2( 20x4) + 2 (4 x 6) =2 (120)+ 2 (80)+ 2(24) =448 in2
  • Box 2 = A = 2 (4x15)+ 2(15x8)+ 2(8x4) = 2(60)+2(120)+2(32)=424 in2

Since 1 inch = 0.0833333 foot

  • Box 1 = 448 in2 x 0,0833333 =37.34 ft2
  • Box 2= 424 in2 x 0,0833333 =35.19 ft2

Since the material used to make a storage box costs $1.25 per square foot.

  • Box 1 =37.34 ft2 x1.25 = $ 46.675
  • Box 2= 35.19 ft2 x 1.25 =$43.98

Since 50 of each are made:

  • Box 1 = $ 46.675 x50 =2,333.750
  • Box 2= $43.98 x50 =2,199.37

Subtracting both costs:

2,333.750(1) - 2,199.37(2) = $134.38

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3 years ago
Need answers ASAP!!!!!
Aleksandr-060686 [28]
Answer
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Why?
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