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3 years ago

For f(x) = 9x and g(x) = x + 3, find the following functions.

Mathematics

1 answer:

NeX [460]3 years ago

7 0

Answer:

a) 9*x + 27

b) 9*x+3

c) 45

d) 21

Step-by-step explanation:

since (f o g)(x) = f (g(x)) , then

a) (f o g)(x) = f (x + 3) = 9*(x+3) = 9*x + 27

similarly

b) (g o f)(x) = g (f(x)) = g ( 9x) = (9*x)+3 = 9*x+3

c) for x=2

(f o g)(2) = 9*2 + 27 = 45

d) for x=2

(g o f )(2) = 9*2 +3 = 21

thus we can see that the composition of functions is not necessarily commutative

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Which equation is true when x = 5? A 8x = 80 B x + 4 = 9 C 10 ÷ x = 5 D x − 6= 1

Pie

Answer:

Step-by-step explanation:

A. 8 * x = 80

8 * 5 = 40. 40 is not 80, so it doesn't work.

B. x + 4 = 9

5 + 4 = 9. This works.

C. 10 ÷ x = 5

10 ÷ 5 = 2. 5 is not 2, so it doesn't work.

D. x - 6 = 1

5 - 6 = -1. 1 is not -1, so it doesn't work.

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2 years ago

Find the fifth term in the arithmetic sequence that begins at 1.5 and has a common difference of 6.6.

astraxan [27]

I think it's 34.5 (I need more letters so I'm typing this)

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3 years ago

Which is a measure of the efficiency of an investment?

DiKsa [7]

Answer:

The correct answer is option B. Return on Investment.

Step-by-step explanation:

The return on investment is used when we want to measure the capacity of an investment, or compare it among several other investments.

Here the <u>benefit of a certain investment will be compared in contrast to the money invested. </u>

To calculate the return on investment there is a formula which will give us a percentage:

ROI = Margin on sales X asset turnover.

Now let's clarify what each of these things is:

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Asset Rotation: this is the result obtained from the calculation of Average Total Sales / Assets.

7 0

3 years ago

Read 2 more answers

The number 1 through 7 are written in separate slips of paper,and the slips are placed into a box.Then,4 of these slips are draw

Bad White [126]

Answer:

0.0011904

Step-by-step explanation:

Given that:

Number of slips = 7

Sample space = (1, 2, 3, 3, 5, 6, 7)

Numbwe of slips drawn = 4

Probability = required outcome / Total possible outcomes

Note ; selection is without replacement ;

P(drawing 1) = 1 /7

P(drawing 2) = 1 /6

P(drawing 3) = 1/5

P(drawing 4) = 1/4

1/7 * 1/6 * 1/5 * 1/4 = 0.0011904

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3 years ago

Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, a

nika2105 [10]

Answer:

<h2>D= 3.9 miles</h2>

Step-by-step explanation:

Given data

speed v= 13 miles per hour

time taken t= 20min to hour 0.3 hours

the distance D

We know that the relationship between speed, time, and distance

speed=distance/time

13=D/0.3

(the expression above describes the relationship between distance, speed, and time)

making D subject of formula we have

D= 0.3*13

D= 3.9 miles

hence the distance is 3.9miles

6 0

3 years ago