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steposvetlana [31]
2 years ago
15

Given ƒ(x) = −10x + 45, find x when ƒ(x) = 15.

Mathematics
1 answer:
Temka [501]2 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

Given

f(x) = - 10x + 45 and f(x) = 15, then equating gives

- 10x + 45 = 15 ( subtract 45 from both sides )

- 10x = - 30 ( divide both sides by - 10 )

x = 3

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If n represents a number then write an expression for two less than one fourth of n
Ne4ueva [31]

Answer:  \frac{1}{4}n-2

This is the same as \frac{n}{4} - 2 and it is also equivalent to 0.25n-2

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Explanation:

n is some placeholder for a number

one fourth of that number is \frac{1}{4}n which is the same as \frac{n}{4} or 0.25n since 1/4 = 0.25

From here, we subtract off 2 to get \frac{1}{4}n-2 as one possible final answer.

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2 years ago
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2.
matrenka [14]

Answer:

a) -8

b) 9

c) -7

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7 0
3 years ago
Lupe’s Construction is building a rectangular house that is 16 feet longer than it is wide. They will be putting a 3-foot wide s
mr Goodwill [35]

Answer:

The length of the four pieces of protective strip is 96 feet

Step-by-step explanation:

Let the w be the width of the rectangular house and L is length. Since L = w + 16, its perimeter P = 2(w + L)

= 2(w + w + 16)

= 2(2w + 16)

Since the perimeter of the house P = 136 feet,

136 = 2(2w + 16)

dividing through by 2, we have

136/2 = (2w + 16)

68 = (2w + 16)

collecting like terms, we have

68 - 16 = 2w

52 = 2w

dividing through by 2, we have

w = 52/2

w = 26 feet.

Now, since the side walk is 3 foot wide all around, the width of the house plus sidewalk = w + 3 and the length of the house plus sidewalk = L + 3 = w + 16 + 3 = w + 19.

So, the perimeter of the house plus sidewalk which is the perimeter of the four pieces of protective strip is P' = 2(w + 3 + w + 19)

= 2(w + 22)

= 2(26 + 22)

= 2(48)

= 96 feet

So, the length of the four pieces of protective strip is 96 feet.

5 0
3 years ago
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