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3 years ago

Why is it valid to say that both a function and its inverse describe the same relationship

1 answer:

4 0

A comparison between a function and its inverse would show that the domain and range of the original function swap. The domain of the function becomes the range of the inverse, the range of the function becomes the domain of its inverse.

Looking at ordered pairs of the function and its inverse would look like this:

(2,4) on the original function becomes (4,2) on the inverse.

While the graph of a function and its inverse are noticeably different an important thing to note is that it is merely a reflection across the line y=x.

So even though they appear different you are looking at the same relationship just as y vs. x instead of x vs. y

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$800 is invested at a rate of 7%. What will be the total amount of the investment after 3 1/2 years?

torisob [31]

Answer:

A = $996.00

Step-by-step explanation:

(I = A - P = $196.00)

Equation:

A = P(1 + rt)

Where:

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

r = Rate of Interest per year in decimal; r = R/100

R = Rate of Interest per year as a percent; R = r * 100

t = Time Period involved in months or years

From the base formula, A = P(1 + rt) derived from A = P + I and I = Prt so A = P + I = P + Prt = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 800(1 + (0.07 × 3.5)) = 996

A = $996.00

The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 7% per year for 3.5 years is $996.00.

4 0

3 years ago

Which ordered pair is a solution of the equation?<br> y = -3x-4.

geniusboy [140]

Answer:

B. Only (-3,5)

Step-by-step explanation:

1. Plug in the x values from the answer choices and see if it gives you the y-value in the answer choices.

A. y=-3(-2) - 4

= 6 - 4

y = 2

The ordered pair for answer A is (-2,4) where the y-value is 4. Well, when you plugged in -2 for x you got 2, not 4. So A can't be the right answer.

B. y=-3(-3) - 4

= 9- 4

y = 5

The y-value in this ordered pair (-3,5) is indeed 5, so this answer holds true.

Therefore, the answer is B because it is the only ordered pair that has the correct solution.

8 0

3 years ago

Can someone answer this please

Rufina [12.5K]

Answer:

0 hours = $40

1 hours = $75

2 hours =$110

3 hours =$145

4 hours =$180

5 hours =$215

Step-by-step explanation:

C=Cost in dollars,

n=hours.

Calculating Cost for 0 hours

$C=35n+40$

$C=(35\times 0)+40$

$C=0+40$

$C=40$

Cost for 0 hours=$40

Calculating Cost for 1 hours

$C=35n+40$

$C=(35\times 1)+40$

$C=35+40$

$C=75$

Cost for 1 hours=$75

Calculating Cost for 2 hours

$C=35n+40$

$C=(35\times 2)+40$

$C=70+40$

$C=110$

Cost for 2 hours=$110

Calculating Cost for 3 hours

$C=35n+40$

$C=(35\times 3)+40$

$C=105+40$

$C=145$

Cost for 3 hours=$145

Calculating Cost for 4 hours

$C=35n+40$

$C=(35\times 4)+40$

$C=140+40$

$C=180$

Cost for 4 hours=$180

Calculating Cost for 5 hours

$C=35n+40$

$C=(35\times 5)+40$

$C=175+40$

$C=215$

Cost for 5 hours=$215

4 0

3 years ago

A group of 140 tourists are going on a tour the tour guide rents 15 vans. Each can holds 9 tourists. What does the remainder mea

AlladinOne [14]

If 140 tourists are split up 9 per each of 15 vans, 15×9=135 which is the amount of people able to occupy a van. if there is 140 tourists and only 135 can go on a van you do 140-135=5, that means your remainder is 5.

your remainder represents the amount of people unable to board a van.

5 0

4 years ago

Read 2 more answers

-5/9 - 2/9 in simplest form

Alchen [17]

-5/9 - 2/9 = -3/9 Your answer is -3/9

3 0

3 years ago

Read 2 more answers