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olga nikolaevna [1]

3 years ago

9

The forumla f = 3y yards y to feed f and f = (n/12) converts inches n to feet f. write a composition of functions that converts

yards to inches

1 answer:

Solnce55 [7]3 years ago

5 0

Equating the two formulas for f, you have
n/12 = f = 3y
Then multiplying by 12 you get
n = 36y

This formula converts yards (y) to inches (n).

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(x^2y^3) = (xy^a)^b

Rainbow [258]

Answer:

C. $\frac{3}{2}$

Step-by-step explanation:

To find the value f b, we need to compare the exponents.

The given exponential equation is:

$( {x}^{2} {y}^{3} )^{3} = ( {x} {y}^{a} )^{b}$

Recall and apply the following rule of exponents.

$( {x}^{m} )^{n} = {x}^{mn}$

We apply this rule on both sides to get:

${x}^{2 \times 3} {y}^{3 \times 3} = {x}^{b} {y}^{ab}$

Simplify the exponents on the left.

${x}^{6} {y}^{9} = {x}^{b} {y}^{ab}$

Comparing exponents of the same variables on both sides,

$b = 6 \: and \:\: ab = 9$

$\implies \: 6b = 9$

Divide both sides by 6.

$b = \frac{9}{6}$

$b = \frac{3}{2}$

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