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TiliK225 [7]
2 years ago
8

The function g is related to one of the parent functions g(x) = |x − 1| + 5

Mathematics
1 answer:
dedylja [7]2 years ago
8 0

If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = |x|.

<h3>What is an absolute function?</h3>

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

The function g is related to one of the parent functions g(x) = |x − 1| + 5.

Then the parent function f(x) will be

f(x) = |x|

If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x).

More about the absolute function link is given below.

brainly.com/question/10664936

#SPJ1

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Question 3 (Multiple Choice Worth 1 points)
artcher [175]

Answer:

26

Step-by-step explanation:

Horizontally:

Like reading = 32

Do not like reading = ?

Total = 58

Total = Like reading + Do not like reading

Do not like reading = Total - Like reading

= 58 - 32

= 26

Do not like reading = 26

Vertically:

Like gardening =

Do not like gardening = 23

Total = 49

Total = Like gardening + Do not like gardening

Like gardening = Total - Do not like gardening

= 49 - 23

= 26

Like gardening = 26

Therefore,

The missing number in the table is 26

7 0
3 years ago
4x - 7 = 8<br> What is the value of x? Show your working.
erica [24]

Answer:

<h2><u><em>x =</em></u><u><em> </em></u><u><em>3.75</em></u></h2><h2><u><em>or</em></u></h2><h2><u><em>x = 3 3/4</em></u></h2>

Step-by-step explanation:

4x - 7 = 8

What is the value of x? Show your working.

4x - 7 = 8

4x = 8 + 7

4x = 15

x = 15 : 4

x = 3.75

or

x = 3 3/4

--------------------

check

4 * 3.75 - 7 = 8

15 - 7 = 8

8 = 8

the answer is good

4 0
1 year ago
Read 2 more answers
Suzy deposits $500 in a savings account with an interest rate of 6% compounded annually. if suzy does not make any additional de
Savatey [412]

Answer:

It will take about 3 years for Suzy to earn at least $95.

Step-by-step explanation:

Compound interest is interest computed on the original principal as well as on any accumulated interest.

If you deposit <em>P</em> dollars at rate <em>r</em>, in decimal form, subject to compound interest, then the amount, <em>A</em>, of money in the account after <em>t</em> years is given by

                                                      A=P(1+r)^t

The amount <em>A</em> is called the account's future value and the principal <em>P</em> is called its present value.

From the information given we know that $500 is the present value,  6% is the rate, and we want to find how long will it take for Suzy to earn at least $95, this means when the future value is $595.

Applying the above formula and solving for <em>t </em>we get that:

595=500(1+\frac{6}{100} )^t\\\\500\left(1+\frac{6}{100}\right)^t=595\\\\\left(1+\frac{6}{100}\right)^t=\frac{119}{100}\\\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\\\ln \left(\left(1+\frac{6}{100}\right)^t\right)=\ln \left(\frac{119}{100}\right)\\\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\\t\ln \left(1+\frac{6}{100}\right)=\ln \left(\frac{119}{100}\right)

t=\frac{\ln \left(\frac{119}{100}\right)}{\ln \left(\frac{53}{50}\right)}\approx 2.99

8 0
3 years ago
The equation below has one solution.
Gnesinka [82]

Answer:

x=2

Step-by-step explanation:

9x-10 =3x+2

Subtract 3x from each side

9x-3x-10 = 3x-3x+2

6x -10 =2

Add 10 to each side

6x-10+10 = 2+10

6x = 12

Divide each side by 6

6x/6 = 12/6

x=2

4 0
4 years ago
Read 2 more answers
1
zzz [600]

A two-way table is such that has two categorical variables and as such, the data are presented in rows and columns.

The correct row and column headings for the given dataset are:

Column: above 60°F, below 60°F, Row: sunny, not sunny

Given that:

Above\ 60^oF=14

Below\ 60^oF=17

Sunny = 19

The two-way table would have the following representations;

  • Above 60^oF and Below 60^oF as the column entries
  • Sunny and not sunny as the row entries

The following representations are also possible

  • Above 60^oF and Below 60^oF as the row entries
  • Sunny and not sunny as the column entries

Base on the above representations, we can conclude that options (b) is true

Read more about two-way tables at:

brainly.com/question/20608299

8 0
3 years ago
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