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2 years ago

8

Verify if 1/2x-2 and g(x) = 2x + 4 are inverses

1 answer:

Triss [41]2 years ago

5 0

They are inverses if f( (g(x)) = x

f((g(x)) = (1/2) (2x + 4) - 2 = x + 2 - 2 = x

so this proves that g(x) is the inverse of f(x)

the other inverse g((f(x)) should also be = x

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What is the initial value of the exponential function represented by the table

rodikova [14]

Correct answer should be 1/2

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3 years ago

How do you work out how many 1/3 cup servings are in 6 cups of pecans

allochka39001 [22]

Answer:

18 servings

Step-by-step explanation:

Because 6 divided by 1/3 is the same as 6*3, we can just do it that way so it makes more sense.

6*3= 18

And there you have your answer!

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3 years ago

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If f'(x)=2/x and f(sqrt(e))=5, then f(e)=

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$f'(x)=\dfrac2x$
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3 0

3 years ago

Margaret wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 18 in. 12 in. 10 in.

user100 [1]

Answer:

No, she cannot completely cover the footrest.

Step-by-step explanation:

First of all, we need to find the total surface area of the prism to be covered using the cotton cloth

the total surface area of the prism is

A = 2wl + 2lh + 2hw,

l is the length of the prism = 18 in,

w= width of the prism = 12 in,

h is the height of the prism = 10 in

hence $A = 2(12 \times 18 ) + 2(18 \times 10) + 2(10 \times 12)=1032in^{2}$

We need to convert the area of the fabric to be in the same unit as that of the prism

Area of cotton fabric = $1 yd^{2}= 1296 in ^{2}$

since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest

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3 years ago

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if a number line plot starts from 2 (including the point) and extends towards positive infinity, the corresponding inequality is

murzikaleks [220]

Answer:

$2 \leqslant y \leqslant \infty$

Step-by-step explanation:

y is equal to 2 and goes up to infinity

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2 years ago