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3 years ago

Hello again! I need help with this question!

Mathematics

1 answer:

otez555 [7]3 years ago

5 0

Answer:

(f o g) = -5x+22

Step-by-step explanation:

f o g basically means f(g(x))

So:

f(g(x)) = -5(x-4)+2

f(g(x)) = -5x+20+2

f(g(x)) = -5x+22

Therefore: (f o g) = -5x+22

This is called function composition. Basically, the output of g(x) goes into the input of f(x).

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Find \tan\left(\frac{17\pi}{12}\right)tan( 12 17π )tangent, left parenthesis, start fraction, 17, pi, divided by, 12, end frac

uranmaximum [27]

One way to do this is to notice

$\dfrac{17\pi}{12}=\dfrac\pi6+\dfrac{5\pi}4$

Then

$\tan\dfrac{17\pi}{12}=\tan\left(\dfrac\pi6+\dfrac{5\pi}4\right)=\dfrac{\tan\frac\pi6+\tan\frac{5\pi}4}{1-\tan\frac\pi6\tan\frac{5\pi}4}$

We have

$\tan\dfrac\pi6=\dfrac{\sin\frac\pi6}{\cos\frac\pi6}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

and since $\tan x$ has a period of $\pi$ ,

$\tan\dfrac{5\pi}4=\tan\left(\pi+\dfrac\pi4\right)=\tan\dfrac\pi4=1$

and so

$\tan\dfrac{17\pi}{12}=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3$

7 0

3 years ago

Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 c

Marat540 [252]

Answer:After choosing the color she still has the choices of brands and style so:

Tahari has 4*3=12 options left.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is 436/85 as a mixed number.?

ivann1987 [24]

Answer:

5 11/85

Step-by-step explanation:

First see how many times a whole number can be found.

436/85 = 5.1294

The denominator goes into the numerator 5 times.

Now we find a new numerator.

436 - (85 * 5) = 11 (this is the amount left over after we made 5 wholes.)

Now we see 5 11/85

It cannot be simplified further.

7 0

3 years ago

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5. If the covariance between the variables x and y is 18 and the variance

klasskru [66]

Answer:

The coefficient of correlation=0.5

Step-by-step explanation:

We are given that

Covariance between the variable x and y=18

Variance of x=16

Variance of y=81

We have to find the coefficient of correlation

We know that

Coefficient of correlation

$r=\frac{covariance(x,y)}{\sqrt{variance(x)}\times \sqrt{variance(y)}}$

Using the formula

$r=\frac{18}{\sqrt{16}\times \sqrt{81}}$

$r=\frac{18}{4\times 9}$

$r=0.5$

Hence, the coefficient of correlation=0.5

5 0

3 years ago

PLEASE HELP

Colt1911 [192]

Answer:

B.In slope-intercept form, the slope is −79.These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is −AB.

Step-by-step explanation:

A is being moved to the other side of the equation so it has to be negative and is multiplied by B since the y value has to be divided to equal the base of y not 9y but y.

7 0

3 years ago