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Lady bird [3.3K]
3 years ago
5

John wants to simplify the expression (5+3) to the power of 2. As a first step, he writes 5 to the power of 2+3to the power of 2

. Will he get the correct value for the expression? If not, what should he do to simplify the expression
Mathematics
1 answer:
Anna35 [415]3 years ago
6 0
No, he needs to do 5(to the power of 2) plus 3(to the power of 2)
this should give him 25 plus 9 = 34
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Given the functions a(x) = 3x - 12 and b(x) = x-9, solve a[b(x)].
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

hello :

a(x) = 3x - 12 and b(x) = x-9, so

a[b(x)]=a(x-9) =3(x-9)-12

a[b(x)]=3x-9-12

a[b(x)]=3x+21

5 0
2 years ago
3. Problem 2: Suppose a radio manufacturer has the total cost function C (x) = 43x + $ 1850 and the revenue function R (x) = $ 8
OLEGan [10]

Given that,

Total cost function, C (x) = 43x + $1850

The revenue function R (x) = $80x

To find,

The number of units that must be produced and sold to break even.

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At break even, cost = revenue

43x + $1850 = $80x

Subtract 80x from both sides.

43x + 1850 -80x = $80x -80x

1850 = 80x-43x

37x = 1850

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So, the required number of units are 50.

8 0
3 years ago
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprin
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The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used

Answer:

Hours of use of sprinkler by Lewis family is 30 hours.

Hours of use of sprinkler by Perry family is 35 hours.

Step-by-step explanation:

Let W = hours of use by Lewis family

65 - W = hours of use by Perry family

Then;

15W + 40*(65 - W) = 1850

15W + 2600 - 40W = 1850

(15 - 40)W = 1850 - 2600

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W = 750/25 = 30

Therefore;

W = 30

65 - W = 65 - 30 = 35

Hence,

Hours of use by Lewis family is 30 hours.

Hours of use by Perry family is 35 hours.

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3 years ago
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How to write four hundred two million seventy-three thousand one hundred eighty in standard form
ziro4ka [17]
Four hundred two million seventy-three thousand one hundred eighty in standard form: 402,073,180 would be your answer
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