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3 years ago

7

Antonio used 16 1/3 cups of flour to make banana bread. The recipe for one loaf of banana bread calls for 2 1/3

1 answer:

Maru [420]3 years ago

7 0

The answer is B so n=7

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In the interval 0° ≤x≤360°, find the values of x for which sin x=-0.8176. Give your answer to the nearest degree.

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3 years ago

Y_Kistochka [10]

The function $f(x)=(x-2)^3+8$ is one-to-one and the inverse of $f(x)$ is $f^{-1} (x)=(x-8)^\frac{1}{3}+2$ .

A function is one-to-one if for $f(a)=f(b)$ , we show that $a=b$ .

$f(a)=(a-2)^3+8$

$f(b)=(b-2)^3+8$

Take $f(a)=f(b)$

$(a-2)^3+8=(b-2)^3+8$

$(a-2)^3=(b-2)^3$

Let $A=a-2$ and $B=b-2$

If $A^3=B^3$ , then $A=B$ .

So, $a-2=b-2$

$a=b$ .

So, the function is one-to-one.

For the inverse of $f(x)$ , replace $x$ with $y$ and solve for $y$ .

$x=(y-2)^3+8$

$(y-2)^3=x-8$

$y-2=(x-8)^\frac{1}{3}$

$y=(x-8)^\frac{1}{3}+2$

So, the inverse of $f(x)$ is $y=(x-8)^\frac{1}{3}+2$ .

Learn more about and inverse of a function here:

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