All categories

3 years ago

I need help on this I am just going to use the picture

Mathematics

2 answers:

iren [92.7K]3 years ago

8 0

D is the correct answer

Radda [10]3 years ago

4 0

Answer:

Step-by-step explanation:

let y = f(x), that is

y = $\frac{2x-3}{5}$

Rearrange making x the subject

Multiply both sides by 5

5y = 2x - 3 ( add 3 to both sides )

5y + 3 = 2x (divide both sides by 2 ) , then

x = $\frac{5y+3}{2}$

Change y back into term of x, hence

$f^{-1}$ (x) = $\frac{5x+3}{2}$ → D

You might be interested in

Let S = {A, B, C, D} be some set of four elements of a vector space. Suppose that D = 2A + B + 3C and C = A − B. Is {A, B, D} li

Olin [163]

Answer:

As explained

Step-by-step explanation:

given that D = 2A + B + 3C and S = {A, B, C, D}, C = A − B

for {A, B, D} to be linearly dependent implies that A B and D will have values that not dependent on the sample space C.

if C = A -B is substituted in the original equation, the generated equation, 5A -2B will have values each as against C which is linearly independent.

Also, D will have values that are linearly dependent.

4 0

3 years ago

Find the slope of -10x + 2y = 8 using slope intercept form

Elodia [21]

Answer:

you subtracted 2y from both sides to each side getting 2y = 10x +8

Step-by-step explanation

8 0

3 years ago

Read 2 more answers

Xavier needs to bike a minimum of 80 miles this week for his training. If he already biked 14 miles this week, then how many mil

ioda

Hi.

First, let's calculate how many miles he has left.

80 - 14 = 66

Now, to figure out how many miles a day in 6 days, divide.

66/6 = 11

Xavier should bike 11 miles on each of the 6 remaining days.

3 0

2 years ago

What are the slope and the y-intercept of the linear function that is represented by the table?

mafiozo [28]

Answer:

slope is -2 and the y-intercept is 12

Step-by-step explanation:

a key thing to remember: x is always equal to 0 when finding the y-intercept.

so if you look at the table for where 0 is, you get the point (0,12) meaning the y-intercept is 12.

to find the slope use the equation: slope= change in y/change in x

you can use any two points to find this.

lets take the points of the x-intercept (6,0) and the y-intercept (0,12)

12-0/0-6

12/-6

-2 = slope

8 0

3 years ago

Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the

Strike441 [17]

Answer:

Step-by-step explanation:

This is a differential equation problem most easily solved with an exponential decay equation of the form

$y=Ce^{kt}$ . We know that the initial amount of salt in the tank is 28 pounds, so

C = 28. Now we just need to find k.

The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is $\frac{dy}{dt}$ . Thus, the change in the concentration of salt is found in

$\frac{dy}{dt}=$ inflow of salt - outflow of salt

Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

$3(\frac{y}{400})$