All categories

3 years ago

The function f is defined on the set of real numbers f(x) equals to 4x + 3 find f^-1(x) and hence determine f^-1(½)

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

5 0

Answer:

The answer and solution are in the picture above

You might be interested in

If 20 mangoes cost 850 naira , what is the cost of 15 Mangoes

Marianna [84]

In this math problem, we will be using rate of change.
850 naira’s / 20 mangoes
= 42.5 nairas for one mango.
Next, to find the cost of 15 mangoes, we will take the cost of our one mango and simply multiply it by 15.
= 42.5 nairas * 15
= 637.50 nairas
So, in conclusion, the cost of 15 mangoes is 637.50 naira.

3 0

3 years ago

In Example 3, the track has 6 lanes that are each 1 meter in width. a. What is the outer perimeter of the track? Round your answ

son4ous [18]

Answer:

Incomplete question, check attachment for the necessary diagram

Step-by-step explanation:

Note in the attachment,

We have two identical straight line of lenght

L1 = L2 = 84.39m

We also have two identical semicircle or radius 36.5m to the first track lane

But this is not the radius of the circle, the radius of the circle will now be 36.5 plus the 6 track lane and we are told that one track lane is 1m, then, the track lane is 6m

So, radius = 36.5+6

r = 42.5m

Then, we need to calculate the perimeter of the semicircle using the formula of perimeter of a circle and dividing by2

P = 2πr/2

P =πr

P = 22/7 × 42.5

P = 133.57 m

Then, the arc 1 is equal to arc 2 which is equal to 133.57 m

A1 = A2 = 133.57 m

Now we have all the dimensions,

Then, the perimeter can be calculated by adding the length of the sides

The perimeter of the field = Lenght of the two straight lines plus the length of the two semicircle arc

P = L1 + L2 + A1 + A2

P = 84.39 + 84.39 + 133.57 + 133.57

P =435.923 m

So, to the nearest meter

P ≈ 436m

The perimeter of the track is 436m

5 0

3 years ago

olga nikolaevna [1]

Answer:

Fraction of the original board left = $\frac{2}{15}$

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off $\frac{1}{5}$ of a wooden board.

Length of the board left = l - $(\frac{1}{5})l$

= $(\frac{4}{5})l$ feet

He saws off $\frac{3}{4}th$ of the remaining board,

Board left = $(\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]$

= $\frac{4}{5}l-\frac{3}{5}l$

= $\frac{1}{5}l$ feet

He finally saws off $\frac{1}{3}$ rd of the remaining board.

Board left = $\frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l$

= $(\frac{1}{5}-\frac{1}{15})l$

= $\frac{2}{15}l$ feet

Fraction of the original board left = $\frac{\frac{2}{15}l}{l}$

= $\frac{2}{15}$

6 0

3 years ago

The area of circle B is 144 pi ft². Find the circumference of circle B.

Sonbull [250]

Circumference = square root (Area * 4 * PI)
circumference = square root ( 452.3893421169 * 4 * PI )
circumference = square root ( 5,684.8921350275)
circumference = 75.3982236862

8 0

3 years ago

Read 2 more answers

Which statements are true regarding the prism? Check all that apply

denis-greek [22]

What are the choices

8 0

3 years ago