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2 years ago

Which function has an inverse that is a function?

Mathematics

1 answer:

fredd [130]2 years ago

7 0

Answer:

m(x)

Step-by-step explanation:

they would have to pass the horizontal line test and the vertical line test for both the origional and the inverse.

b(x) does not pass the horizontal line test in any of the y values over 3

d(x) does not pass the horizontal line test for y=-9

p(x) does not pass the horizontal line test for positive y values

and m(x) has only one corresponding x value for every y value

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An airline company is considering a new policy of booking as many as 191 persons on an airplane that can seat only 180. (Past st

notka56 [123]

Answer:

1.3559644*10^-^5

Step-by-step explanation:

From the information given we extract the following data

Total Number of Trials (N) = 191

Required Value (x) = 181 (notice it is not 180 since at that value we have enough passengers)

Odds of success (p) = 0.85

Using the binomial formula for calculating probability, i.e.

$P(x; N, p) = nCx * p^x *(1-p)^{N-x}$

Inputting the values

$P(181; 191, 0.85) = 191C181 *0.85^{181} *(1-0.85)^{191-181} \\ P(181; 191, 0.85) = 1.3559644*10^-^5$

3 0

3 years ago

Solve with a system of equations: Two angles are supplementary if the sum of their measures are 180 degrees. If one is 90 degree

julsineya [31]

Answer:

The measures of the angles are 150° and 30°.

Step-by-step explanation:

Let x and y represent the measures of the angles, with x representing the larger angle.

x + y = 180 . . . . . . the two angles are supplementary

x = 90 + 2y . . . . . one is 90° more than twice the other

___

Substituting the expression given by the second equation into the first, we have ...

(90 +2y) +y = 180

3y = 90 . . . . . . . . . . collect terms, subtract 90

y = 30 . . . . . . . . . . . divide by the coefficient of y

x = 180 -y = 150

The measures of the angles are 150° and 30°.

6 0

3 years ago

Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3

dusya [7]

Answer:

-15

Step-by-step explanation:

start from the inside and go out.

So first plug in -3 into g(x)

g(-3) = -3 - 7 = -10

then plug in -10 into f(x)

f(-10) = 2(-10) + 5 = -15

so f(g(x)) = -15

5 0

3 years ago

Read 2 more answers

The length of a rectangle is 1 foot less than twice the width. If the area is 45 ft2, find the length and width.

STatiana [176]

A) Width = 9/2, length = 10

Rectangle area = length(l)x width(w)

9/2 = 4.5

4.5(l) x 10(w) = 45ft

8 0

2 years ago

Help me please,Thanks;)

Sindrei [870]

I think its the second choice

8 0

2 years ago