All categories

3 years ago

Which mapping diagram shows the inverse of p(x)?

Mathematics

2 answers:

MA_775_DIABLO [31]3 years ago

7 0

Diagram C shows the inverse of P(x).

GarryVolchara [31]3 years ago

7 0

<h2>Answer:</h2>

<u>Option C</u><u> is the correct inverse of the given function</u>

<h2>Step-by-step explanation:</h2>

The given figure shows vectors. Each circle has certain values in it and all values are related to the values in the other circle. The inverse of a vector is a vector of equal magnitude but in the opposite direction. Since the opposite direction and equal magnitude is shown only by the this diagram therefore we can say that option C is the required option.

You might be interested in

Drive to work in 45 min., bus to work takes 1 hr 15 min. If the average rate on the bus is 16 mph slower than his driving rate,

stich3 [128]

Answer:

30 miles

Step-by-step explanation:

Given: Drive to work in 45 min.

Bus would take to travel= 1 hr 15 min

Average rate on the bus is 16 mph slower than his driving rate.

Lets assume the average driving rate be "x" mph.

∴ Average rate of bus= $(x-16)\ mph$

Now converting unit of time taken to travel to work.

Remember; 1 hours= 60 minutes.

Time taken for drive to work= $\frac{45\ minutes}{60\ minutes} = 0.75\ hour$

Time taken in bus to work= 1 hour and 15 minutes= $60\ minutes+ 15\ minutes= 75\ minutes$

∴ Time taken in bus to work in hours= $\frac{75\ minutes}{60\ minutes}= 1.25\ hours$

Considering the distance remain constant to travel for work.

Next, forming an equation to find the value of x.

As we know, $distance= speed\times time$

⇒ $x\times 0.75= (x-16)\times 1.25$

Using distributive property of multiplication.

⇒ $0.75x= 1.25x-20$

Adding both side by 20

⇒ $0.75x+20= 1.25x$

Subtracting both side by 0.75x

⇒ $20= 0.5x$

Dividing both side by 0.5

⇒ $x= \frac{20}{0.5}$

∴ $x= 40\ mph$

Hence the average rate for drive to work is 40mph.

Now, subtitiuting the value of x to find the distance travelled to work.

Distance travelled= $40\times 0.75= 30\ miles$

Hence, distance travelled to work is 30 miles.

6 0

4 years ago

Freee pooooints loooolll

stiv31 [10]

Lollllllllllllllllllllllllll

3 0

3 years ago

Read 2 more answers

A rectangular room is 3 times as long as it is wide, and it’s perimeter is 56 meter. Find the dimension of the room

Vanyuwa [196]

Let’s first start by realizing that it is perimeter, so it will have to have two different numbers. 56 divided by 4 is 14, this would make it a square. So then you start plugging in numbers.

L W
15 13
17 11
.................
Do this again until you get to a point where the Length is 3 times more than the width.
19. 9
21. 7
DING DING DING
The length is three times more than the width so the dimensions of the room is 21 by 7.
21+21+7+7=56 meters
:)

7 0

3 years ago

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

tigry1 [53]

Answer:

F(x) = 45*x - (5/2)*x^2 + C

Step-by-step explanation:

Here we want to find the antiderivative of the function:

f(x) = 45 - 5*x

Remember the general rule that, for a given function:

g(x) = a*x^n

the antiderivative is:

G(x) = (a/(n + 1))*a*x^(n + 1) + C

where C is a constant.

Then for the case of f(x) we have:

F(x) = (45/1)*x^1 - (5/2)*x^2 + C

F(x) = 45*x - (5/2)*x^2 + C

Now if we derivate this, we get:

dF(x)/dx = 1*45*x^0 - 2*(5/2)*x

dF(x)/dx = 45 - 5*x

6 0

3 years ago

What is 3 1/2 plus 4 2/3

Nataly [62]

I believe that the answer would be 8, but I'm not exactly sure.

I hope that this helps ~

8 0

4 years ago

Read 2 more answers