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2 years ago

F(x) = 6x – 12 ; shifts 4 units down.

Mathematics

1 answer:

DIA [1.3K]2 years ago

6 0

Answer:

f(x) = 6x-16

Step-by-step explanation:

Since the function is shifting 4 units down, it will be moving down the y axis, meaning the y-intercept will decrease by 4.

y=mx+b is the formula for the straight line, where b is the y-intercept. The y-intercept in this function is -12, so we would just subtract -4 from -12 to get our answer.

-12-4=-16

Make sure to leave the coefficient of x

Therefore, f(x) = 6x-16

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Can someone help with math?

algol [13]

Answer:

A. {4,3}

Step-by-step explanation:

x -2y = -2

y = - 3x +15

x - 2(-3x+15) = -2

x +6x - 30 = -2

7x = 28

x = 4

y = - 3x +15 = - 3*4 + 15 = -12 + 15 = 3

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3 years ago

Find the average value of the function on the given interval.<br> f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$

Step-by-step explanation:

We are given that a function

$f(x)=2lnx$

We have to find the average value of function on the given interval [1,e]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx$

By Parts integration formula

$\int(uv)dx=u\int vdx-\int(\frac{du}{dx}\int vdx)dx$

u=ln x and v=dx

Apply by parts integration

$f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))$

$f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})$

$f_{avg}=\frac{1}{e-1}(e-0-e+1)=\frac{1}{e-1}$

By using property lne=1,ln 1=0

$f_{avg}=\frac{1}{e-1}$

8 0

2 years ago

What is the domain of y=log5x

aliina [53]

The answer is both all real numbers less than 0 and all real numbers greater than 0

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3 years ago

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Answer:

Step-by-step explanation:

(8r + 5) - (3r + 5)

8r + 5 - 3r - 5

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3 years ago

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iren2701 [21]

Answer:

1 / 9

Step-by-step explanation:

P(Green) = 5 / 10

P(Blue) = 3 / 10

P(Red) = 2 / 10

These are independent events as one cannot occur at the same time as the other so can multiply their probabilities together

First choice green: 5 / 10

The denominator will decrease because we arent replacing the marbles after we take one out of the bag

Second choice red: 2 / 9

5 / 10 x 2 / 9

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3 years ago

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