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3 years ago

How to determine if two functions are inverses?

1 answer:

3 0

You will compose the functions (that is, plug x into one function, plug that function into the inverse function, and then simplify) and verify that you end up with just "x". Here's what it looks like:Determine algebraically whether f (x) = 3x – 2 and g(x) = (x + 2)/3are inverses of each other.

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PLEASE HELP ME!! I DO NOT UNDERSTAND PLEASE SHOW WORK THANK YOU!!

Oksanka [162]

Answer:

= 10x² + 9x³

Step-by-step explanation:

I'm assuming you mean question 19

3x² + 5x³ + 7x² + 4x³ (rearrange to group like terms)

=3x² + 7x² + 5x³ + 4x³ (factor out common powers)

= (3+7)x² + (5+4)x³

= 10x² + 9x³

4 0

3 years ago

If one-half of a number decreased by 20 is 40, what is the number?

Anvisha [2.4K]

Answer:

120

Step-by-step explanation:

Just add the 20 back to 40 and times by 2

40 + 20 = 60

60 * 2 = 120

8 0

2 years ago

Read 2 more answers

In a football league, 4 coaches are needed for every 38 players. If 84 players sign up for softball, how many coaches are needed

pickupchik [31]

9

8.842 but the answer would have to be rounded because you can’t have .842 coaches... the answers 9!!!!

6 0

3 years ago

5. Sara has a photo that is 5 inches by 7 inches. When she adds a frame

stiv31 [10]

Answer:

1 inch

Step-by-step explanation:

Factors of 63 are 7 and 9, each of which is 2 more than the dimensions of the photo. Sarah's frame is 1 inch wide.

_____

A 1-inch wide frame adds 2 inches to length and width.

_____

Solution using an equation

If you let w represent the width of the frame, the area of the framed photo is ...

(5+2w)(7+2w) = 63

4w^2 +24w -28 = 0 . . . . write in standard form

w^2 +6w -7 = 0 . . . . . . . . divide by 4

(w -1)(w +7) = 0 . . . . . . . . factor

The positive solution to this equation is w=1.

The width of the frame is 1 inch.

5 0

3 years ago

Le Saveu The UL health centre is giving a Pfizer vaccine to the surrounding community members of the 100 people who were vaccina

enot [183]

Using confidence interval concepts, it is found that the incorrect statement is given by:

B. The population proportion is 0.80.

In a sample of n people with a proportion of $\pi$ , and a confidence level of $1-\alpha$ , we the confidence interval for the proportion is:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

80 developed immunity out of 100, thus, the sample proportion is:

$\pi = \frac{80}{100} = 0.8$

Option A is correct.

The standard error is:

$s = \sqrt{\frac{\pi(1-\pi)}{n}}$

Considering $n = 100$

$s = \sqrt{\frac{0.8(0.2)}{100}} = 0.04$

Thus, statement E is correct.

90% confidence level, thus the critical value is the value of z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $z = 1.645$ , which means that statement D is correct.

The margin of error is:

$M = zs = 1.645(0.04) = 0.0658$

Thus, statement C is correct, which leaves B as the false statement, as we have the sample proportion, and we can only estimate, not guarantee the population proportion.

A similar problem is gien at brainly.com/question/16807970

5 0

3 years ago