Find the inverse of

y=2x-10

Answers

Answer 1

Answer:

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

Step-by-step explanation:

[tex]y=2x-10\\x=2y-10\\x+10=2y\\\frac{x+10}{2} =y\\y=\frac{x}{2} +5[/tex]

First, we swap x and y. Then, we solve for y in the new equation.


Related Questions

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20

Answers

Answer:

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.

A: 196.20

B: 208.20

C: 1286.20

D: 1298.20

Jed is baking shortbread for a bake sale. The recipe calls for 1 1 4cups of flour and 1 2stick of butter. How many cups of flour will Jed need if he uses 3 sticks of butter?

Answers

Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

Step-by-step explanation:

We assume that quantity of flour is proportional to butter.

Given : The recipe calls of [tex]1\dfrac14[/tex] cups of  flour  and [tex]\dfrac12[/tex] stick of butter.

Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex]      [tex]y_1=\dfrac{1}{2}[/tex]

For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]

Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

15/2 cups of flour!

What is 5.790 divided by 2.3

Answers

Answer:

Step-by-step explanation:

5.790/2.3=2.5173913

Answer:

2.51739130435

Step-by-step explanation:

Erla has 28 red and blue marbles. The ratio of red to blue marbles is 1:6.How many blue marbles does Erla have?

Answers

Erla has 24 blue marbles.

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
(5,7) y=2x+5

Answers

Answer:

y = 2(x-5) + 7

Step-by-step explanation:

someone, please help worth lots of points
The regular price of a swimsuit in the junior department of a store is $54. The store advertises an end-of-season sale at 40% off the regular price of all swimsuits. Two weeks later the store advertises a bonus sale at an additional 1/5 off the end-of-season sale price of all swimsuits. Shannon and Mary decide this is a great time to shop for swimsuits. Shannon figures that the swimsuits are now 60% off the regular price. Mary disagrees, because she figures that the total discount is actually less than 60%.
a. What is the cost of a swimsuit during the end-of-season sale? Justify your reasoning using a model.
b. What is the cost of a swimsuit during the additional 1/5-off bonus sale? How can you show this with a model?
c. Did Shannon or Mary figure the discount correctly? Use a model to explain.
answer for a b and c plzzz

Answers

Answer:

the cost of a swimsuit during the end-of-season sale is 21.6 because 40% of 54

b. 21.4

40% of 54 +(-1/5)

c. No because the 60% of 54 is 32.4

Using the given information, match the transformed equation from a parent function of [tex]y=x^2[/tex] or [tex]y=x^3[/tex]

Question and choices below:

Answers

Step-by-step explanation:

The general form for a quadratic or cubic equation is:

y = a (x − h)ⁿ + k

If |a| is between 0 and 1, it's a vertical shrink.  If |a| is greater than 1, it's a vertical stretch.  If a is negative, there's a reflection over the x-axis.

h is the horizontal translation.  If h is positive, there's a translation to the right.  If h is negative, there's a translation to the left.  (Notice the expression in the parentheses is x − h, not x + h, so if it helps, rewrite the equation.)

k is the vertical translation.  If k is positive, there's a translation up.  If k is negative, there's a translation down.

f(x) = (x + 1)³ − 7

f(x) = 1 (x − -1)³ + -7

a = 1, h = -1, k = -7

This is y = x³ translated 1 unit to the left and 7 units down.

g(x) = -½ (x − 2)³

g(x) = -½ (x − 2)³ + 0

a = -½, h = 2, k = 0

This is y = x³ reflected over the x-axis, vertical shrink of ½, and translated 2 units to the right.

y = -(x − 4)³ − 2

y = -1 (x − 4)³ + -2

a = -1, h = 4, k = -2

This is y³ reflected over the x-axis, translated 4 units right and 2 units down.

Please help:)
I’ll give brainlest

Answers

Answer:

I think its C. but if its wrong im so sorry bc im not 100% sure but if it isnt C. then try B. idrk the answer but thats what im thiking its either C or D im not 100% sure hope this helped in some kind of way i tried :/..

Step-by-step explanation:

Broo please help me omg

Answers

Answer:

9. -2

10. 0

Step-by-step explanation:

It is not undefined because the slope of horizontal lines are 0

Solve: 4x^3+7x^2-5x-6=0

Answers

Answer:

(x-1)(x+2)(4x + 3) = 0 ]

Step-by-step explanation:

please help me with this

Answers

The equation of the line is y= 3x

Use the GCF and the Distributive Property to find the sum. Write each number as a product using the GCF as a​ factor, and apply the Distributive Property. nothing 34, 51

Answers

Answer:

[tex]34 + 51 = 85[/tex]

Step-by-step explanation:

Given

[tex]34 + 51[/tex]

Required

Use GCF and distributive property to determine the sum

34 can be expressed as:

[tex]34 = 2 * 17[/tex]

51 can be expressed as:

[tex]51 = 3 * 17[/tex]

So, the GCF of both numbers is 17

[tex]34 + 51[/tex] can then be expressed as:

[tex]2 * 17 + 3 * 17[/tex]

Apply Distributive Property, we have:

[tex]17(2 + 3)[/tex]

Solving further:

[tex]17 * 5[/tex]

[tex]85[/tex]

Hence:

[tex]34 + 51 = 85[/tex]

Answer:

Step-by-step explanation: no

6. Just because a diet is popular does not mean it is safe and effective. True False

HELP FAST!
Not really math its PE

Answers

Answer:

true

Step-by-step explanation:

the answer is true hope this helps

Raul is solving -6x = 72. Find his mistake and correct it.

Answers

Answer:

x=12

Step-by-step explanation:

ANSWER QUICK FOR BRAINLIEST!!


please i need this asap:))

Answers

Answer:4

Step-by-step explanation: please just trust me!

30 points-

Use the table below that shows the amount of gasoline a car
consumes for different distances driven.
Distance (mi)
2
Gasoline (gal) 0.05 0.10 0.15 0.200.25
Write an equation in function notation for the relationship
between distance and gasoline used.

Answers

Answer:

4

Step-by-step explanation:

4 is the answer for this problem.

Laron is thinking about majoring in business in college because with a bachelor's degree the starting salaries are about $45,000 per year. If a master's degree will allow him to start out at about 15 percent higher, how much can he expect his starting pay to be with a master's degree?​

Answers

Answer:

$6750 per year

Step-by-step explanation:

15% / 100 = 0,15

0,15 x $45,000 = $6750 he will get per year

ASAP
Can someone please helppp

Answers

Answer:

Option 4

Step-by-step explanation:

A kid traveled a distance of 9 km by bike, and then walked a distance of km.
a.Find the total distance traveled in terms of
b. If the total distance was less than 30 km, form an inequality in , and
then solve it!

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question;

A kid traveled a distance of 9 km by bike, and then walked a distance of x km.

a.Find the total distance traveled in terms of  x

b. If the total distance was less than 30 km, form an inequality in x, and

then solve it!

a) Total distance = distance travelled by bike + distance walked

Total distance = 9km + xkm

Total distance = (9+x)km

b)  If the total distance was less than 30 km, the inequality representing this is;

9+x < 30

Subtract 9 from both sides;

9+x-9 < 30-9

x < 21

hence the solution to the inequality is x< 21

Help me please!! I can’t figure this out...

Answers

Answer:

-2

Step-by-step explanation:

-2-4/3-0=-2

you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values

Answer:

-2

Step-by-step explanation:

You can use the equation rise over run, which is basically y2-y1 over x2-x1

Y2 is -2 and y4 is 4, x2 is 3  x1 is 0

-2-4 over 3-0=-6/3=-2

PLEASE I NEED YOUR HELP! THANK YOUU!

Answers

Answer

Maximum point of (-2, 4)

Step-by-step explanation:

the maximum point in this case is the vertex because its the highest point of the graph

Ratios that are equivalent to 7/3

Answers

Answer:

14:6, 21:9, 28:12

Step-by-step explanation:

out of 300marks a student got 207 what is the score in percent​

Answers

Answer: 69%

Step-by-step explanation: 207/300 times 100 too divided by the bottom times 100

Please find the volume of this shape

Answers

Answer:

V = 536.8m³

Step-by-step explanation:

A = cross-sectional area

V = prism volume

V = A × length

h = perpendicular height of triangle

h² = 13² - 7²

h² = 169 - 49

h² = 120

h = 10.954...

A = ¹/₂.b.h

A = ¹/₂(14)(10.954...)

A = 76.681...

V = 76.681... × 7

V = 536.768... ⇒ 536.8m³

Factor by grouping
x^3+2x^2-9x-18

Answers

Answer:

(x+2)(x+3)(x-3)

Step-by-step explanation:

Group and factor out the greatest common factor (GCF), then combine.

Hope this helps!!

If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof

Answers

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet

How do you write 86.2 in scientific notation?
x 10
Submit

Answers

8.62x10^-1 hope this helps

when playing the bottle toss game, people have a 12% chance of winning. someone played 25 times. about how many times will he win?

Answers

3 times is the answer.
the person will win 3 times
hope this helps :)

Name the triangle with the following characteristics. Sides: 5 cm, 5 cm, 7 cm.

a. equilateral triangle
b. right triangle
c. isosceles triangle
d. scalene triangle

Answers

Answer:

[tex]\boxed {\boxed {\sf Isosceles \ triangle}}[/tex]

Step-by-step explanation:

An equilateral triangle has 3 equal sides and angles.

A right triangle contains one right or 90 degree angle.

An isosceles triangle has 2 equal sides and base angles.

A scalene triangle has no equal sides or angles.

The triangle given has the sides of 5 cm, 5 cm, and 7 cm.

Therefore, 2 of the sides are equal and this must be an isosceles triangle.

Write the ratios as fractions IN THEIR SIMPLEST form
44 boys to 88 girls

Answers

Answer:

2:4

Step-by-step explanation:

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