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2 years ago

What is the slope of a ramp that rises 6 inches for every horizontal

Mathematics

1 answer:

san4es73 [151]2 years ago

6 0

Rise/run, so 6/12=1/2

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State of the given functions are inverses

bonufazy [111]

Answer:

1) They are not inverses

2) They are inverses

Step-by-step explanation:

We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.

1)

Let's find f[g(x)] and simplify.

$f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}$

$f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}$

$f[g(x)]=\frac{7}{2}-\frac{3}{4}x$

As f[g(x)] is not equal to x, these functions are not inverses.

Let's find f[g(x)] and simplify.

$f[g(n)]=\frac{-16+(4n+16)}{4}$

$f[g(n)]=\frac{-16+4n+16}{4}$

$f[g(n)]=\frac{4n}{4}$

$f[g(n)]=n$

Now, we need to find the other composition function g[f(x)]

Let's find g[f(x)] and simplify.

$g[f(x)]=4(\frac{-16+n}{4})+16$

$g[f(x)]=-16+n+16$

$g[f(x)]=n$

Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.

I hope it helps you!

3 0

3 years ago

150 x $2. =300 and then 300 =5 =305.00

fomenos

What question are you asking?

3 0

3 years ago

What is 13/25 - 2/3?

Bas_tet [7]

-11/75 is the answer. The first step would be to write the numerators above the lcd and then subtract and rewrite the fraction.

8 0

3 years ago

Triangle JKL with vertices J(1,-1), K(2,3), and L(3,-2) in the line x=4 ANSWER RIGHT NOW BEEN WAITING AN HOUR NOW

Monica [59]

Answer:

hahhahahqhqhqhhajajahahahahahwhwhwhwhwh

3 0

2 years ago

F(x)=(x+7)^3 expand the function

nydimaria [60]

Step-by-step explanation:

F(x) = (x + 7)³

= 3C0 * x³ + 3C1 * x² * 7 + 3C2 * x * 7² + 3C3 * 7³

= x³ + 21x² + 147x + 343.

4 0

3 years ago

Read 2 more answers