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4 years ago

the area of a rectangular living room is 300 square feet. the length of the room is 10 feet less than twice the width

Mathematics

1 answer:

JulsSmile [24]4 years ago

6 0

Answer:

The length is 20, and the width is 15.

Step-by-step explanation:

You have to write an expression to represent this situation. w can be the width, and the length can be 2w-10. To fnd the area, you multiply these together. w(2w-10) is 2w^2 -10w. From there, 15 is the only value of w that satisfies the equation, so w=15. Substitute 15 into your expression for lngth, and 2(15)-10 is 30-10 is 20, so the length is 20.

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3 years ago

Which expressions are equal to 915? a) 915 x 5/3 b) 915 x 100/100 c) 915 x 10/100

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3 years ago

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If f(x)=4x+7 and g(x)=x^3, what is (g°f)(-1)

Annette [7]

Answer:

The answer is (g°f)(-1) = 27

Step-by-step explanation:

* (g°f)(1) ⇒ means make the domain of g is the range of f

- At first find the value of f(-1)

- Take the answer and substitute it as the value of x for g

- So the range of f is the domain of g

∵ f(x) = 4x + 7

∵ The domain of f = -1 ⇒ x is the domain

∴ f(-1) = 4(-1) + 7 = -4 + 7 = 3 ⇒ f(-1) is the range

∵ g(x) = x³

∵ x = f(-1) = 3 ⇒ the domain of g

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* (g°f)(-1) = 27

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