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3 years ago

F(x) = 2x+6, g(x) = 3² findf(g (-3))

Mathematics

2 answers:

weeeeeb [17]3 years ago

6 0

Step-by-step explanation:

If F(x) = 2x+6, g(x) = 3² findf(g (-3))

Solution

f(g (-3)) = 2x+6(3²(-3)) = 2x+6(3×3(-3))

= 2x+6(-27) = 54x-162 = 54x = 162

54/54x = 162/54

x = 3

Yanka [14]3 years ago

5 0

Answer:

➩ $f(g(-3)) = 24$

Step-by-step explanation:

➨ Rearrange/Simplify the equations

$F(x)=2x+6\\g(x)=9$

➨ Find $f(g(-3))$

$g(-3)=9$ ➩ All x-values have same y-values ➩ Constant Function

Substitute $g(-3) = 9$ in the f(x)

$f(g(-3)) = f(9)\\f(9)=2(9)+6\\f(9)=18+6\\f(9)=24\\f(g(-3)) = 24$

Thus, the answer ➩ $f(g(-3)) = 24$

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Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a standard deviation of 1.5. U

alex41 [277]

Answer:

2.5% of American women have shoe sizes that are greater than 11.47.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.47

Standard deviation = 1.5

The normal distribution is symmetric, which means that half the measures are below the mean, and half are above the mean.

What percentage of American women have shoe sizes that are greater than 11.47?

11.47 = 8.47 + 2*1.5

This means that 11.47 is two standard deviations above the mean.

Of those measures below the mean, none are greater than 11.47.

Of those measures above the mean, 95% are between the mean and 11.47, and 5% are above. So

0.5*0.05 = 0.025

2.5% of American women have shoe sizes that are greater than 11.47.

8 0

3 years ago

Can someone please do this for me?

san4es73 [151]

Answer:

64°

Step-by-step explanation:

So supplement angles are equal to 180, so first our two angles added together will be 180:

x + x = 180

Now one of these angles is 6 greater than half:

x + (x/2 + 6) = 180

Then we will solve for x:

x + (x/2 + 6) = 180

x + x/2 + 6 = 180

x + x/2 = 174

$\frac{3}{2}$ x = 174

x = 116

Plug it back in:

x + (x/2 + 6) = 180

x/2 + 6

(116)/2 + 6

To check:

116 + 64 = 180 ✓

6 0

3 years ago

F(x) = 2x+6, g(x) = 3² findf(g (-3))​

F(x) = 2x+6, g(x) = 3² findf(g (-3))