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lesya [120]
3 years ago
9

Help!!! PLLLLEASE help me ASAP!!!!

Mathematics
1 answer:
Dmitry [639]3 years ago
7 0
1. One is 2
2. Two is 2
3. Three is 4
4. Four is 3
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I need help with number 4
ss7ja [257]

Answer:  Choice D

f^{-1}(x) = (x-3)^2+2\\\\

============================================================

Explanation:

First we replace f(x) with y. This is because both y and f(x) are outputs of a function.

To find the inverse, we swap x and y and solve for y like so

y = \sqrt{x-2}+3\\\\x = \sqrt{y-2}+3 \ \text{ .... swap x and y; isolate y}\\\\x-3 = \sqrt{y-2}\\\\(x-3)^2 = y-2 \ \text{ ... square both sides}\\\\(x-3)^2+2 = y\\\\y = (x-3)^2+2\\\\f^{-1}(x) = (x-3)^2+2\\\\

Note: because the range of the original function is y \ge 3, this means the domain of the inverse is x \ge 3. The domain and range swap roles because of the swap of x and y.

As the graph shows below, the original and its inverse are symmetrical about the mirror line y = x. One curve is the mirror image of the other over this dashed line.

7 0
3 years ago
Read 2 more answers
Solve for w.<br><br> 5w + 9z = 2z + 3w<br><br> w = z<br> w = z<br> w = –2z<br> w = –7z
Semenov [28]

5w + 9z = 2z + 3w

Move terms with w to the left - subtract 3w from both sides

2w + 9z = 2z

Subtract 9z from both sides

2w = -7z

Divide both sides by 2

w = \frac{-7}{2}z

6 0
3 years ago
Here are three sequences of numbers. The first three numbers are related by a specific pattern that produces the fourth number.
posledela

Step-by-step explanation:

The pattern is

\frac{4^2}{2}=\frac{16}{2}=8\\\frac{3^2}{3}=\frac{9}{3}=3

Thus the missing number is

6 0
4 years ago
Mr. and Mrs. Rainer took out a $240,000 loan to purchase their home. If the interest rate on the loan is 1.2% compounded bimonth
Bogdan [553]

Answer:

$103968.11

Step-by-step explanation:

Given information:

Principal amount = $240,000

Rate of interest = 1.2% = 0.012

Number of years = 30

Number of times in an year = 24

Formula for amount:

where

P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.

Now,

Hence, the interest is $103968.11.

6 0
3 years ago
Which of the following lines are parallel to 2Y - 3X = 4?
dimulka [17.4K]

Answer:

B. Y = 6/4 X

Step-by-step explanation:

Well to find its parallel line we need to put,

2y - 3x = 4 into slope-intercept.

+3x to both sides

2y = 3x + 4

Now we divide everything by 2,

y = 3/2x + 2

So a line that is parallel to the given line will have the same slope but different y intercept, meaning we can cross out choices A and C.

To check look at the image below ↓

<em>Thus,</em>

<em>answer choice B. Y = 6/4 X is correct.</em>

<em />

<em>Hope this helps :)</em>

4 0
3 years ago
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