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AleksandrR [38]
3 years ago
10

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

Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0

Answer:

f(g(x))= x-2

Step-by-step explanation:

f(g(x))= (x-4)+2      -plug g(x) into the place of x in the f(x) function

f(g(x))= x-4+2        -parentheses aren't needed

f(g(x))=x-2             -combine like terms

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if the rate of change for one linear function is positive and for another is negative can they both be either increasing or decr
Alla [95]

Answer:

They can never be both either increasing or decreasing.

Step-by-step explanation:

If the rate of change i.e. the slope of one linear function is positive, that means the graph of the linear function makes angle which varies between 0° to 90° with respect to the positive direction of the x-axis.

Therefore, the function must be increasing.

Again, if the rate of change i.e. the slope of one linear function is negative, that means the graph of the linear function makes angle which varies between 90° to 180° with respect to the positive direction of the x-axis.

Therefore, the function must be decreasing.

Hence, if the rate of change of one linear function is positive and for another is negative, they can never be both either increasing or decreasing. (Answer)

6 0
3 years ago
Which is cheaper for a $56 item that cost $9.25 to ship. A 15% coupon off the cost of the item or free shipping
poizon [28]
15% coupon. off the cost of the item
8 0
3 years ago
50 points!!!!! Please!!!!! Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The t
nekit [7.7K]

Answer:

A) Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.

Step-by-step explanation:

The y-intercept for Sandra is 55 and the slope is -5. While Jenny's y-intercept is 50 and slope is -6.

6 is a greater number therefore causing Jenny's slope to decrease faster causing her to have less money at a much faster rate. (rate of change=slope) Jeny's slope is decreasing at a faster rate of change because she is spending more money everyday than Sandra is.

Hope this helps! Have a great day! :)

4 0
3 years ago
Uniform circular motion is used in physics to describe the motion of an object traveling at a constant speed in a circle. The sp
Ivanshal [37]

Answer:

  B)  T = 2πr/v

Step-by-step explanation:

To solve the given equation for T, multiply it by T/v.

v=\dfrac{2\pi r}{T}\\\\v\dfrac{T}{v}=\dfrac{2\pi r}{T}\cdot\dfrac{T}{v}\\\\T=\dfrac{2\pi r}{v} \qquad\text{simplify}

6 0
3 years ago
0.6x-0.1=0.5x+2 <br> The solution set is {_} <br><br> PLEASE PLEASE PLEASE EXPLAIN HOW
timurjin [86]

Answer:

21

Step-by-step explanation:

Step 1:

0.6x - 0.1 = 0.5x + 2      Equation

Step 2:

0.1x - 0.1 = 2     Subtract 0.5x on both sides

Step 3:

0.1x = 2.1     Add 0.1 on both sides

Step 4:

x = 2.1 ÷ 0.1    Divide

Ansewr:

x = 21

Hope This Helps :)

3 0
3 years ago
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