Algebraically find the inverse for each of the following equations
A. y = 3x-8
B. y = 1/2x+6
C. y = x+6/2

Answers

Answer 1

Step-by-step explanation:

A. y= 3x -8

x = 3y -8

3y = x +8

y = (x+8)/3

B x = 1/2y +6

1/2y = x-6

y = 2x - 12

C x = y + 6/2

y = x - 6/2


Related Questions

Please Help-
K + ⅓ = 5 ⅛ | K = ?
Show Your Reasoning.

Answers

Answer:

[tex]4\frac{19}{24}[/tex]

Step-by-step explanation:

I hope I did this right:

So first thing to do is set up the equation.

[tex]K + \frac{1}{3} = 5\frac{1}{8}[/tex]

Next thing to to is subtract 1/3 from both sides to get:

[tex]K = 5\frac{1}{8} - \frac{1}{3}[/tex]

Next up, you will multiply each of the fractions by the opposing value

(multiply 1/8 by 3 and 1/3 by 8)

[tex]K = 5\frac{3}{24}[/tex][tex]-\frac{8}{24}[/tex]

Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.

K = [tex]\frac{123}{24}[/tex][tex]-\frac{8}{24}[/tex]

Finally, you subtract 123 over 24 by 8 over 24.

K = [tex]\frac{123}{24} - \frac{8}{24} = \frac{115}{24}[/tex]

Then just simplfy the 115/24 to get

[tex]4\frac{19}{24}[/tex]

You like to watch movies at the local theater. You have two payment options. Your first option is to buy a discount card which will cost you $160, and then $20 for m movies, 20m + 160. Your second option will cost you $100, and then pay $40 for m movies, 40m + 100. After how many movies will the total costs of the two options be the same?

Answers

You like to watch movies at the local theater. You have two payment options. Your first option is to buy a discount card which will cost you $160, and then $20 for m movies, 20m + 160. Your second option will cost you $100, and then pay $40 for m movies, 40m + 100. After how many movies will the total costs of the two options be the same?

the answers is 3

Simplify fully4xy/12x2y​

Answers

Answer:

1/3x

Step-by-step explanation:

for 4xy/12x^2y we need to simply one of the x's and the y's and divide both parts by 4

so we get:

1/3x

Probability of impossible event is ………… [. ]

a) 0 b) 100% c) 1 d) both b & C​

Answers

Answer:

0

Step-by-step explanation:

Find the area for this problem

Answers

Answer:

63 for the whole figure, for the different shaded regions it goes as follows, 17.5 for the white area and 45.5 for the grey area

Step-by-step explanation:

The answer for the area is 68

Describe the horizontal cross section of the triangular pyramid.

A.triangle
B.rectangle
C.trapezoid
D.square​

Answers

The cross section of this object would be A. Triangle

7. Joey wants to find the area of the parallelogram below.
3.6 cm
3 cm
6 cm
Which equation can be used to find the area of the parallelogram?
A. 6(3.6) = 21.6 cm2
B. 2(3.6) + 2(6) = 19.2 cm2
C. 6(3) = 18 cm2
D. 6(3 + 3.6) = 39.6 cm2

Answers

Answer:

I'm not sure but I think it is b

Students performed a stair-climbing experiment to investigate the power output of the human body. Each student climbed the stairs in a sports stadium to different heights while another student used a stopwatch to time the climb. The body mass, time, and vertical height reached by four students is given in the table. (Estimate g as 10 m/s2.)Which two students generated the same amount of power?

Student mass(kg) Time Vertical Height(m)
Hiro 54 10 6.0
Brenda 54 15 9.0
Carmine 68 11 6.0
Brady 68 17 9.0

A. Brady
B. Brenda
C. Carmine
D. Hiro

Answers

Answer:

hiro and brenda

Step-by-step explanation:

When a bakery opened this morning, the ratio of the number of pineapple muffins to the number of mango muffins was 3 : 2. After 244 pineapple muffins were sold, the ratio of the number of pineapple muffins to the number of mango muffins changed to 3 : 5. How many pineapple muffins were there when the bakery opened this morning?

Answers

Answer:

(x+244)/y=3/2

x/y=3/5

y=5x/3

(x+244)/(x5/3)=3/2

x+244=3/2 . 5x/3

x+244=15x/6

6(x+244)=15x

6x+1464=15x

1464=15x-6x

1464=9x

x=1464/9

x≈ 162

mm=162*5/3=270

162:270 = 3:5

pm before = 270*3/2=405

405:270 = 3:2

The table shows the proportional relationship between the number of computers
a company sold, x, and the profit that the company made, y. The profit, y, can be
written in terms of x, the number of computers sold: y = What expression
completes the equation?
Profit on Sales
Number of Computers Sold
Profit (dollars)
3
450
7
1050
11
1650
15
2250

Answers

Answer:

y = 150x

Step-by-step explanation:

There is a proportional relationship between number of computers sold (x) and profit generated (y)

y ∝ x

y = kx

Here, k = proportionality constant

From the table given,

At y = 450 and x = 3,

450 = k(3)

k = 150

Therefore, expression that represents the proportional relationship will be,

y = 150x

Please show our work.... I am not good at percentages
Kristin got 9 out of 12 questions correct on this test. What was her grade, as a percent?

Answers

In terms of percentage she would have got 75% correct
9/12 = 3/4 (:4)
3/4 = 0.75
0.75 = 75%

There are 486 hamsters at a private showing of a new documentary about humans. If there are 12 seats in each row, about how many rows will the hamsters fill? Choose the best estimate.
A. 20
B.4
C.40
D.60

Answers

Answer:

C, 40

Step-by-step explanation:

If there are 12 seats in each row, and 486 hamsters total, then we can safely assume one hamster takes up one seat.

To find out how many rows they can take, we need to divide the number of hamsters by the number of seats to get 486 / 12 approximately equals 40.

Answer:

C.

Step-by-step explanation:

Take the first two numbers of 486.

How many times does 12 fit into 48?

4 times.

Since all of the estimations do not have any form of individual single digits (as they do normally), we would dismiss the 6 and use its place just as a '0.'

40.

Hope this helped!

(HELPP)In the figure below, AE
BD and BD bisects ∠EBC​

Answers

Answer:

7) ∠EBD = 60°

87) ∠DBC = 72°

9) ∠EBC = 156°

10) ∠EBC = 138°

Step-by-step explanation:

The product of -2 and a number is at most 10.

Find the possible numbers.

A. n ≥ -5
B. n < -5
C. n ≤ -5
D. n > -5

Answers

Answer:

a because 5 or less than 5 equals almost or less than 10

Four stores have the same tablet computer on sale. The regular price of the tablet is $150. Store A is offering the tablet on sale at 15% off the regular price. Store B is offering a $25 coupon to be deducted from the regular price. Store C is offering a rebate of $20.00 to purchasers. Store D has the tablet on sale for $120.00. Which store is offering the tablet at the lowest cost

Answers

Answer:

Its c

Step-by-step explanation:

PLEASE HELP QUICK WILL MARK BRANLIEST

Answers

Answer:

A, C, and B. In that order

how long will it take you to ski a distance of 25 miles at a speed of 2.5 miles per 30 minutes​

Answers

Answer:

62 .5 minutes or 1 hr, 2 min, and 24 sec.

Step-by-step explanation:

Answer:

300 mins or 5 hours

Step-by-step explanation:

ok so 25 divided by 2.5 equals 10

10 times 30 equals 300min

300 divided by 60 because thats one hour s which equals 5 hours

In ABC, mC = 30 and a = 8. If the area of the triangle is 12, what is the length of side b?
show work pls

Answers

9514 1404 393

Answer:

  b = 6

Step-by-step explanation:

The area is given by the formula ...

  Area = 1/2·ab·sin(C)

  12 = (1/2)(8)b·(1/2) . . . . . fill in the given values

  12 = 2b . . . . . . . . . . . simplify

  6 = b . . . . . . . . . . . divide by 2

The length of side b is 6 units.

what is the slope of a line perpendicular to the line whose equation is y=-2x+4. fully simply your answer

Answers

Answer:

1/2

Step-by-step explanation:

You should inverse the slope and multiply by -1

y= 1/2 is the answer I believe

Explain why a + b = d.

Answers

ANSWER
im not sure if a+b actually =d.
EXPLANATION-
I tried researching this lol and nothing came up that made sense

Math help pls all 4 questions please

Answers

a. 32500
b. 60,400
c. 2.4 x 10 ^ -6
d. 1.47 x 10 ^3

Answer:

a)32500

b)0.00604

c)2.4×10^6

d)1.47x10-³

Step-by-step explanation:

plz can i get brainliest:)

The volume is 120.9 in. What is the missing dimension (X)

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: x = 2.5

Explanation:

5.2 * 9.3 * x = 120.9

120.9 / 5.2 = 9.3 * x

23.25 = 9.3 * x

23.25 / 9.3 = x

x = 2.5

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Which graph can be used to find the solution(s) to x2 – 1 = 3?

Answers

We have to find the graph that can be used to find the solution of :x2 -1=3

We are given an inequality we can equate this equality to a new variable 'y' such that:x2 -1 =3=y

i.e. we get a system of equations as:y=x2-1

and y=3
Hence, the solution will be the x-value of the point of intersection of the system of equations.
The point of intersection are:
(-2,3) and (2,3).
Hence, the solution of the equation is:
x=2 and x= -2.

Hence, the solution of the equation is:
x=2 and x= -2.

Answer: D

Step-by-step explanation:

right on edge

Determine the distance between (−3,1)and (5,−6)
Round your answer to the nearest tenth. Show all of your work.

Answers

Answer:

10.6 units

Step-by-step explanation:

distance formula

= √((x2-x1)²+(y2-y1)²)

= √((5+3)²+(-6-1)²

= √(8²+(-7)²)

= √ (64+49)

= √113

= 10.6

Find the output, yyy, when the input, xxx, is 303030. y = 14-0.5xy=14−0.5xy, equals, 14, minus, 0, point, 5, x y=y=y, equals

Answers

Answer:

Output, y = -1 when input, x = 30

Step-by-step explanation:

Given equation:

y = 14 - 0.5x

Where,

y = output

x = input

Find the output, y, when the input, x, is 30

y = 14 - 0.5x

y = 14 - 0.5(30)

y = 14 - 15

y = -1

Therefore,

Output, y = -1 when input, x = 30

Answer:

-1

Step-by-step explanation:

KHAN ACADEMY :)

I CAN FIND AN EXPLANATION IF NEEDED

Can anyone help me with this math equation?

Answers

Answer:

yes I can help you. the answer to the problem is 4/35.

Step-by-step explanation:

1. convert any mixed number into fractions.

your equation becomes 4/7÷5/1. this equals 4×1 over 7×5. multiply normally and your result is 4/35

Plzz I asked this three times! The Functions r and s are defined as follows.
r(x)=-2x+2
s(x)=x^2+2
Find the value of s(r(2)).

Answers

Answer:

s(r(2)) = 6

Step-by-step explanation:

You would first solve for r(2). You then input r(2) which equals -2 into s(r(2)).

r(x)= -2x + 2

r(2)= -2(2) + 2

r(2)= -4 +2

r(2)= -2

s(x)=x² + 2

s(r(2)) = (-2)² +2

s(r(2)) = 6

Explain how to use the standard normal table to find the probability associated with the shaded area under the curve

Answers

Answer:

to find the area to the right positive z-score begin by reading off the area in the standard mormal distribution table, since the total area under the bell curve is 1 we subtract the area from the table from 1. for example the area to the left of z=1.02 is given in the table as 0.846

Step-by-step explanation:

right answer

In AABC, what is AB to the nearest tenth?

Answers

Answer:

AB = 9.5 units

Step-by-step explanation:

Here, we want to find the measure of AB

To do this, we are going to make use of the sine rule

for the sine rule, the ratio of the measure of a side and the sine of the angle that faces the side is a constant value for a triangle

Thus, we have it that; in a triangle ABC

a/sin A = b/sin B = c/sin C

using the triangle given;

we need the measure of the angle at C

The sum of angles in a triangle is 180

thus;

C + 93 + 48 = 180

C = 180 - 93 -48

C = 39 degrees

Now, to get the value of AB;

AB/sin 39 = 15/sin 93

AB = (15 * sin 39)/sin 93

AB = 9.5 units

Write and solve an equation to find the value of x and a missing angle in the triangle below.

Answers

Answer:

x = 27°, ∠JLK = 55°

Step-by-step explanation:

From the diagram in the question above,

The exterior angle of a triangle is equal to the sum of the two opposite side

3x+13 = 39+(2x+1)

3x+13 = 40+2x

collect like terms and solve for x

3x-2x = 40-13

x = 27°.

∠JKL = 2x+1

Substitute the value of x

∠JKL = 2(27)+1

∠JKL = 54+1

∠JKL = 55°

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