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3 years ago

If f(x) = x2 + 7x and g(x) = 3x - 1, what is f(g(x))?

Mathematics

1 answer:

Burka [1]3 years ago

6 0

Answer:

f(g(x)) = 9x^2 + 15x - 6

Step-by-step explanation:

We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.

Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:

f(g(x)) = (3x - 1)^2 + 7(3x - 1).

If we multiply this out, we get:

f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or

f(g(x)) = 9x^2 + 15x - 6

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if I have a binomial distribution where n equals 8 trials and a probability of success equals 0.40 what is the successes of X is

dlinn [17]

P(success) = 0.4 P(failure) = 0.6

8C2 (0.4)² * (0.6)^6

P(2 success) =0.290

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3 years ago

<img src="https://tex.z-dn.net/?f=14r%20-%208r%3D%20126" id="TexFormula1" title="14r - 8r= 126" alt="14r - 8r= 126" align="absmi

LuckyWell [14K]

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//////////////

7 0

3 years ago

Hey can anybody help me with this question please

lakkis [162]

First find average
(5+5+5+5+7+9)/6=6
now see how much they each are differnt
5 to 6 is 1
5 to 6 is 1
5 to 6 is 1
5 to 6 is 1
7 to 6 is 1
9 to 6 is 3

average those
(1+1+1+1+1+3)/6=8/6=4/3=1.333

answer is 1.33

4 0

3 years ago

Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows

juin [17]

Answer:

$\frac{AB}{A''B''} = \frac{1}{4}$

Step-by-step explanation:

Given the information:

A'B'C' reflection over x = −1
dilation by a scale factor of 4 from the origin

<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC

=> the relationship between ΔABC and ΔA″B″C″

= $\frac{AB}{A''B''} = \frac{1}{4}$

We choose C.

Hope it will find you well.

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3 years ago

Length in the right triangle 7cm 10cm

horsena [70]

I think it would be 70 cm

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3 years ago