Find the inverse of each function:
g(x)=[tex]\frac{-5x+5}{2}[/tex]
A. g^{-1}[/tex](x)=[tex]\frac{5-2x}{5}[/tex]
B. g^{-1}[/tex](x)=[tex]4+\frac{4}{3}x[/tex]
C. g^{-1}[/tex](x)=[tex]\frac{10-x}{2}[/tex]
D. g^{-1}[/tex](x)=[tex]-4+\frac{1}{3}x[/tex]

Answers

Answer 1

Answer:

Step-by-step explanation:

Replace g(x) with y, then switch the x and y variables:

[tex]x=\frac{-5y+5}{2}[/tex]

Solve for the new y value, multiply by 2:

[tex]2x=-5y+5[/tex]

Subtract 5 on both sides:

[tex]2x-5=-5y[/tex]

Divide by -5 on both sides:

[tex]-\frac{2x-5}{5} =y[/tex]

Distribute the negative sign and rearrange:

[tex]\frac{-2x+5}{5} =\frac{5-2x}{5} =g^-^1(x)[/tex]

Answer 2

Answer:

A. g⁻¹(x) = (5 - 2x)/5

Step-by-step explanation:

Given functiong(x) = (-5x + 5)/2Find the inverse of g(x)Solution

Substitute x with y and g(x) with x and  then solve for y:

x = (-5y + 5) /22x = -5y + 55y = -2x + 5y = (-2x + 5)/5y = (5 - 2x)/5

Replace y with g⁻¹(x)

g⁻¹(x) = (5 - 2x)/5

Correct choice is A


Related Questions

find the volume of the rectangular prism​

Answers

Answer:

125

Step-by-step explanation:

multiply the three numbers

y = 1/2x - 4 Slope: X-intercept: Y-intercept:​

Answers

Answer:

Slope = [tex]\frac{1}{2}[/tex] , X-intercept = 8 , Y-intercept  = -4

Step-by-step explanation:

the following equation is given in slope intercept form which is y = mx + b where m is the slope and b is the y intercept

since m = [tex]\frac{1}{2}[/tex] and b = -4, we can say our slope is [tex]\frac{1}{2}[/tex] and y intercept is -4.

Recall that x intercept occurs when y = 0 so plug y = 0 in the equation then solve for x

0 = [tex]\frac{1}{2}[/tex]x - 4

add 4 to both sides,

4 = [tex]\frac{1}{2}[/tex]x

multiply by 2 on both sides,

4*2 = x

8 = x

x = 8

so our x-intercept is 8

7k − 5k + 8 = −4
7(−6) − 5(−6) + 8 = −4
−42 + 30 + 8 = −4
−12 + 8 = −4
−4 = −4

is it me or 5(-4)= -30???

Answers

Answer:

-6

Step-by-step explanation:

7k − 5k + 8 = −4

2k+8=-4

    -8  -8

2k=-12

/2   /2

k=-6

Check!

7(-6)-5(-6)+8

-4=-4

In the school store, all markups are 25%. If the store paid $12 for a t-shirt, what is the selling price?

Answers

Answer:

$15

Step-by-step explanation:

16, 6, 12, 5, 12
Find the mean and median number of hours for these students.
If necessary, round your answers to the nearest tenth.
Mean: hours
X Х
?
Median: hours

Answers

Answer:

mean: 10.2

median: 12

Step-by-step explanation:

The median is 12 Bbdhdhdb de dhdndbdbd

A Ferris Vwheel rotates 18 each time a set of passengers get off. If two sets of passengers get off, how many degrees does the Ferris Wheel rotate?
36 degrees
18 degrees
54 degrees
32 degrees

Answers

Answer:

36 degrees

18+18=36

Find the value of tan
Х
45°
315
Please help me ASAP please

Answers

9514 1404 393

Answer:

  1

Step-by-step explanation:

The right triangle is isosceles, so x = 45° and tan(x) = 1.

__

You can determine tan(x) either from your knowledge of trig function values, or from the fact that the two legs of the triangle are of equal length. The tangent is the ratio of the opposite leg to the adjacent one. When those legs are the same, the ratio is 1.

11) -104 = 8x
12) 14b=-56
13) -6 = b/18
14) 10n = 40

Answers

Answer:

11) -104÷8=x

-13=x

x=-13

12) b=-56÷14

b=-4

13) -6×18=b

b=-108

14) n=40÷10

n=4

Determine if the sequence is arithmetic, geometric, or neither. For arithmetic and geometric sequences, identify the common difference or common ratio. For neither, enter n/a. {-45, -38, -31, -24, ...}
Arithmetic, Geometric, or Neither?

Common difference, ratio, or neither?

Answers

9514 1404 393

Answer:

Arithmeticcommon difference = 7

Step-by-step explanation:

First differences are ...

  -38 -(-45) = 7

  -31 -(-38) = 7

  -24 -(-31) = 7

The first differences are constant, so this is an arithmetic sequence with a common difference of 7.

Chris has a job selling newspapers
every morning. He receives a base
pay of $10 per day and also gets
15 cents for every paper he sells.
One morning he made $16.45. How
many papers did he sell?
A 39
C 52
B 43
D 64

Answers

the answer is B.43
he made $10 a day
then 15 cents multiply by 43 is $6.45

$10 + $6.45 = $16.45

13 is what percent of 15?

Answers

Answer:

86.67%

Step-by-step explanation:

Help plz plzzzzzzzzzz

Answers

Answer:

d

Step-by-step explanation:

the answer you chose (C) has a common difference of -2

its d thats the answer to your question

HEY THERE! PLEASE ANSWER THE MATH QUESTION IN THE PHOTO! THE CORRECT ANSWER WILL BE MARKED AS BRAINLIEST ,GET POINTS AND I WILL ALSO FOLLOW YOU! THANKS! (if you can explain your answer)
xoxo

Answers

Answer:

kinda sus =456ijdhdiieoq

Answer:

D (12)

Step-by-step explanation:

10%= 6 tickets

Therefore 20%= 12 tickets

Your welcome :)

WILL MARK BRAINLIEST PLS HELP DUE TODAY
A six-sided number cube is rolled 300 times. Predict how many times you would expect to roll a 4.


40


50


60


100

Answers

Answer:

50

Step-by-step explanation:

probability to get on 4 = 1/6

1/6 x 300 = 50

Answer:

50 times

Step-by-step explanation: you divide 300 divide by 6=50, you got a 1/6/ 300

The sales tax rate in Chicago is about 10.5%. Calculate the amount you would need to pay in tax below. How much would you need to pay with tax $10

Answers

Answer:

Including the tax, you would need to pay $11.05

Step-by-step explanation:

10.5/100 * 10 + 10 is the formula

The tax itself, if you had to pay $10 for something, is $1.05

Recommendations
Skill plans
A Math
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Science
Social Studies
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Seventh grade) * 3.7 Word problems involving ratios JKY
On the way home from the beach, Kimi and Toby stopped to get shaved ice. Kimi got a
medium cup with 4 pumps of lime syrup and 5 pumps of cherry syrup. Toby got a large cup
with 5 pumps of lime syrup and 8 pumps of cherry syrup. Whose shaved ice had the greater
ratio of lime syrup to cherry syrup?
Kimi's shaved ice had the greater ratio.
Toby's shaved ice had the greater ratio.
Neither. The shaved ices had the same ratio.
Submit

Answers

Answer:

Kimi's shaved ice had the greater ratio of lime syrup to cherry syrup.

Step-by-step explanation:

A square-based pyramid has the same volume as a cube of side 10 cm.
The height of the pyramid is the same as the side of the square base.
Calculate the height of the pyramid.

Answers

Answer:

100 cm

Step-by-step explanation:

ILL GIVE BRAINLIST PLS:/which of the following statements about xy and xx is true ?

Answers

Answer:

i think its b or c gl... hope b is right

It’s b, you can use something to measure the length of the line like a pen or ruler

PLEASE HELPP!!!!!!
A building has 4 stories that are each 15 feet high. A scale drawing has the height of the building at 5 inches.

Which of the following is the correct scale?

1:72
1:12
1:144
5:60

Answers

Answer:

1:144

Step-by-step explanation:

if each floor is 15 feet, the whole building is 60 feet tall. so it does have a scale of 5 inches:60 feet but if you simplify that, its 1 inch: 12 feet, so you convert feet into inches by multiplying by twelve, which gives you a scale of 1:144 inches

Answer:

1:144 inches

Step-by-step explanation:

how do i simplify something like -2x(2 – 5x) - 3x^2 this?

Answers

Distributive property -2x(2-5x) = -4x + 10x^2
Add -4x + 10x^2 - 3x^2
Simplified it is 7x^2 - 4x

Set up your calculator to show the following
ordered pairs
(3,2), (3,4), (3,8), (5,4),(5.2)
Remember, you can type parentheses and
commas using your keyboard or the on-screen
keypad,
Which of the following letters look approximately
like your graph?
V
P
L
F
H

Answers

Answer:

the correct answer is h.

Step-by-step explanation:

Answer:

H and 3

Step-by-step explanation:

plz its due very soon i need help

Answers

29 cm. Is the answer

Erin buys 3 packs of potatoes costing £3 each, 3 packs of carrots for £2 per pack, and 4 turnips costing 60p each.
If she pays with a £20 note, how much change would she get?

Answers

Answer:

£2.6

Step-by-step explanation:

Given data

3 packs of potatoes costing £3 each= 3*3= £9

3 packs of carrots for £2 per pack= 3*2= £6

4 turnips costing 60p each= 4* 0.60= £2.4

Hence the total cost = 9+6+2.4= £17.4

Hence the change will be 20-17.4

= £2.6

[tex]\frac{2y-1}{15} =\frac{y}{10}[/tex]

Answers

Answer:

y = 2

Step-by-step explanation:

Given

[tex]\frac{2y-1}{15}[/tex] = [tex]\frac{y}{10}[/tex] ( cross- multiply )

10(2y - 1) = 15y ← distribute left side

20y - 10 = 15y ( subtract 15y from both sides )

5y - 10 = 0 ( add 10 to both sides )

5y = 10 ( divide both sides by 5 )

y = 2

Please help thank you

Answers

Answer:

x=35

Step-by-step explanation:

3x+15=2x+50 (opposite angles are equal)

3x=2x+35

x=35

A submarine was 600 feet
below sea level. If it
ascends 250 feet, what is
its new position?

Answers

Answer: Down below

Step-by-step explanation:=(600-250)m=350m

Answer:

Step-by-step explanation:

The initial position of the submarine was 600 ft below sea level

Then it ascends, i.e., goes up or moves up 250ft.

So now it is (800–250=)550 ft below sea level. I hope this helps.

What’s the inverse of this function?

Answers

Answer:

Step-by-step explanation:

First replace f(x) with y

[tex]y=-2x+2[/tex]

Then switch the variables

[tex]x=-2y+2[/tex]

Solve for the new y value

[tex]x-2=-2y\\[/tex]

[tex]-\frac{x-2}{2} =y[/tex]

-x/2+1
X over 2 as a fraction

1. Function or Not?

Function
Not

Answers

Answer:

function

Step-by-step explanation:

Enter the unknown value that makes this statement true: 20% of ? is 40. ​

Answers

Answer: 20% of 200= 40

Hope this helps

Is the point (-5,2) the solution to the system below ?

Answers

yes, if you would to put (-5,2) back into those two equations it would to be true
(-5 being your x)
(2 being your y)
(2)=-2(-5)-8=2, so
2= 10-8=2
2=2=2


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