Solve y = mx + b for x.

Answers

Answer 1

Answer: x = (y - b)/m

Step-by-step explanation:

y = mx + b

y - b = mx + b - b

y - b = mx

(y - b)/m = mx/m

x = (y - b)/m


Related Questions

Match each graph with the correct equation from the equation bank. not all equations will be used

Answers

The equations for the given graphs respectively are y = (-1/3)x + 3, y = (1/3)x + 1, y = -3x, and y = x + 3.

The line in the first graph passes through the points (0, 3) and (3, 2).The equation of the line is :(y - 3) = [(2 - 3)/(3 - 0)](x - 0)y - 3 = (-1/3)xy = (-1/3)x + 3The line in the second graph passes through the points (0, 1) and (3, 2).The equation of the line is :(y - 1) = [(2 - 1)/(3 - 0)](x - 0)y - 1 = (1/3)xy = (1/3)x + 1The line in the third graph passes through the points (0, 0) and (1, -3).The equation of the line is :(y - 0) = [(-3 - 0)/(1 - 0)](x - 0)y = -3xThe line in the fourth graph passes through the points (-3, 0) and (0, 3).The equation of the line is :(y - 0) = [(3 - 0)/(0 - (-3))](x - (-3))y = x + 3

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Write an equation of the line that passes through the given point and is perpendicular to the given line.

(–6, –4); y =1/3x + 1

Answers

Perpendicular = opposite sign and reciprocal slope
Slope would be negative and reciprocal of 1/3, slope = -3
Plug into y = mx + b
y = -3x + b, plug in point
-4 = -3(-6) + b, b = -22
Solution: y = -3x - 22

Can anyone help with thisss

Answers

It’s -11/6 because it equals to −1.83... which is the slope

Explain the similarities between a scientific law and a scientific theory.

Answers

Answer:a scientific law is the description of an observed phenomenon. It doesn't explain why the phenomenon exists or what causes it. The explanation of a phenomenon is called a scientific theory. It is a misconception that theories turn into laws with enough research.

Step-by-step explanation:

what is the linear equation of a line that goes through (3,5) and (5,9)​

Answers

Answer:

[tex]y=2x-1\\[/tex]

Step-by-step explanation:

[tex]m=\frac{y_{2}-y_{1}}{x_1-x_2} \\m=\frac{9-5}{5-3}\\m=\frac{4}{2}\\m=2\\y-y_{1}=m(x-x_{1})\\y-9=2(x-5)\\y-9=2x-10\\y=2x-1[/tex]

y = 2x - 1
Look at the picture below

can someone do b and c? or just one

Answers

b) 4(x+2) + 8(x-1)

first we distribute the 4

4x+ 8 + 8(x-1)

now we distribute the 8

4x+8 + 8x-8

now we combine the 4x and the 8x because they have the same variable so they are like terms

12x +8-8

the 8 cancels out so

b) 12x

now c)

3(w-5) - 6(w+2)

distribute 3

3w-15 - 6(w+2)

now distribute -6

3w-15 -6w -12

combine 3w and -6w because they are like terms

-3w -15-12

now combine -15 and -12

answer to c: -3w-27

55% of the cookies Joelle bake had chocolate chips is the wild baked 77 cookies with chocolate chip cookies baking cakes

Answers

where’s the question?

Describe each part of the complex number:

-5-i

Answers

Answer:

Real Part = -5

Imaginary part = -1

Step-by-step explanation:

We need to describe each part of the complex number: [tex]-5-i[/tex]

Complex Number

A complex number is of form [tex]a+bi[/tex] where a is real part while b represents the imaginary unit.

In the given complex number: [tex]-5-i[/tex]

Real Part = -5

Imaginary part = -1

a2+14a+49 please help me​

Answers

I think it is (a+7)^2

if a = 6, evaluate the following expression: 36/3a

Answers

Answer:

2

Step-by-step explanation:

1) substitute a=6 into 36/3a:

36/3×6

2) calculate: 36/3×6 ->2

A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf. The ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16. Which number could represent the number of packages of flour tortillas the clerk put on the shelf?

Answers

Answer: 18

Step-by-step explanation:

The options are:

A. 23

B. 18

C. 14

D. 32

Since we are told that the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16. This simply means that the ratio of flour tortillas to the total number of packages on the shelf was (16 -7 = 9) 9 to 16.

Therefore, to get the number that could represent the number of packages of flour tortillas the clerk put on the shelf we have to find the multiple of 9 in the question given . This will be:

Multiples of 9 = 9, 18, 27, 36, 45 ....

Based on the option, the answer will be 18.

PLEASE HELP!!!
In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint
of BC. If m of ZCAD?

Answers

Answer:

The measure of ∠CAD is 69°

Step-by-step explanation:

In ΔABC

∵ D is the mid-point of AB

∵ E is the mid-point of BC

DE is parallel to AC

→ From parallelism

∵ DE // AC

m∠EDB = m∠CAD → corresponding angles

∵ m∠EDB = 83 - 7x

∵ m∠CAD = 7x + 55

→ Equate them

7x + 55 = 83 - 7x

→ Add 7x to both sides

∵ 7x + 7x + 55 = 83 - 7x + 7x

∴ 14x + 55 = 83

→ Subtract 55 from both sides

∵ 14x + 55 - 55 = 83 - 55

∴ 14x = 28

→ Divide both sides by 14

x = 2

→ To find m∠CAD, substitute x by 2 in its measure

∵ m∠CAD = 7(2) + 55

∴ m∠CAD = 14 + 55

∴ m∠CAD = 69°

The measure of ∠CAD is 69°

Which of the following points is a solution for the following system of inequalities?

A.(0,6)
B.(4, 2)
C.(-5, 1)
D.(3, 4)

Answers

The answer is B, (4,2)
B is the correct answer

Can anyone help me please??? Almost done Thank you!!

Answers

Answer:

you might’ve already answered this but it’s 65

Step-by-step explanation:

the two sides in a triangle have to be congruent so if one angle is 65, the other has to be 65 too :)

Answer:

65

Step-by-step explanation:

the given triangle is an isoceles triangle and opposite angles of opposite equal sides of isosceles triangle are equal

<question in picture>
I have no idea how to do this!​

Answers

Start by finding the volume of the original volume. 45x45x45 = 91,125

Multiply that volume by .70 to find the reduced building volume which = 63,787.5

To get the answer you want to find the cube of 63,787.5

The answer is C (39.96)

Write 0.4% as a fraction or mixed number in simplest form. I give brainliest.

Answers

Answer:

4 / 1000

Step-by-step explanation:

If Elena eats 2 servings of granola , how many calories dose she eat?

Answers

Answer:

However much calories 1 granola has it would be times 2

Step-by-step explanation:

Answer: 264 calories.

Step-by-step explanation:

Each serving has 132 calories.

What is the perimeter, in feet, a rectangle whose length is twice its width and whose width is 8 feet?

Answers

If the width is 8ft and the length is twice the width then multiply 8 by 2 to find your length

Which transformation will carry a regular octagon onto itself?

Answers

Answer:

you have to move it to an adjacent side. hope this helped have a nice day:)

Write an expression that uses subtraction and division that has a value of 3.

Answers

Answer:

12/2-3

Step-by-step explanation:

12/2-3

Answer:

12/2-3

Step-by-step explanation:

12/2-3

20 points



if anybody knows anything about finding like the internal domain and if the function is decreasing please add me on snap I really need the help thankyou ​

Answers

uhhhh whats ur snapppp

Answer:

awesome 100✓jjjjjjjjjjj

I plan on opening a savings account with $500 and leaving it in the account for 2 years. If the bank is going to pay me an interest rate of 3%, how much money will I have in the account at the end of 2 years?

Answers

Answer:

Future Value= $530.45

Step-by-step explanation:

Giving the following information:

Initial investment (PV) = $500

Number of periods (n) = 2 years

Interest rate (i)= 3% = 0.03

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 500*(1.03^2)

Future Value= $530.45

Answer:

The answer is c

Step-by-step explanation:

Evaluate -4x + 6 when x = 3

Answers

Answer:

-6

Step-by-step explanation:

subsitute 3 for x and solve

Answer:

Step-by-step explanation:

-4X + 6 when X= 3

= -43 + 6 which would give you -37.

Use what you know to try to solve the problem below. A scientist is using a tracking device to measure how fast a blue whale swims. Data from the device show that the whale swam at a constant rate for 5 minutes and covered 2.5 miles in that time. Make a graph showing the change in the whales distance over time. How far does the blue whale swim in 1 minute? this 25 mi: 5​

Answers

The graph showing the change in the whales distance over time is given by y = 0.5x

How to solve an equation?

An equation is an expression that shows the relationship between two or more numbers.

The standard form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept.

Let y represent the total distance covered for x minutes.

Let the constant rate be m miles per minute. The whale swam at a constant rate for 5 minutes and covered 2.5 miles in that time. Hence:

2.5 = 5(m)

m = 0.5 miles per minute

y = 0.5x

In 1 minute:

y = 0.5(1) = 0.5 miles

The graph is given by y = 0.5x

The graph of the amount of money that River Run Canoes have a y intercept of 10 and slope of 10.

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Which expression has an equivalent value to x^2 + 9x +8 for all values ofx?
O (x+ 1)(x+8)
O (x+2)( x+6)
O (x+ x4)(x+ 4)
O (x+5)(X + 4)

Answers

The answer would be the first option (x+1)(x+8). You would use the foil method, which will give you the equivalent value of the expression.

Hope this helped

(x+1)(x+8) is the  expression which has an equivalent value to x² + 9x +8 for all values of x.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  x² + 9x +8.

We have to find the equivalent expression to the expression x² + 9x +8.

Let us use the factorized form of the expression.

x² + 9x +8.

x² + 8x+x+8

Take common terms and factorize

x(x+8)+1(x+8)

(x+1)(x+8)

Hence, (x+1)(x+8) is the  expression which has an equivalent value to x² + 9x +8 for all values of x.

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Amy is putting a new floor in her bathroom. She created a scale drawing of her bathroom floor using a scale of 1/3 inch= 1 foot. In the drawing, the bathroom measure 3 inches by 3 1/3 inches. Amy is purchasing squares tiles that measure 1/3 foot on each side. The cost of each tile is $3.00. How much will Amy pay for the tiles for bathroom floor

Answers

Answer:

$2,430

Step-by-step explanation:

Scale of the drawing = ⅓ in. to 1 ft

Measurement of the bathroom on paper = 3 in. by 3⅓ in.

Actual measurement of the bathroom:

3*3 = 9 ft

3⅓ * 3 = 10 ft

Area of the bathroom = 9*10 = 90 ft²

Let's find how many square tiles would cover 90 ft².

The side length of 1 tile is said to be ⅓ ft.

Therefore, the area of 1 tile would be ⅓*⅓ = ⅑ ft².

Number of tiles that would cover 90 ft² would be:

90/⅑ = 90*9

= 810 tiles

If 1 tile cost $3.00, therefore 810 tiles would cost:

810 * 3 = $2,430.

Step-by-step explanation:

50 x 2 x 34 x5 who has insta if so what is it and btw you dont have to answer this
i will mark branilest

Answers

Are you a guy or a girl

Answer:can i get brainliest lol

Step-by-step explanation:

1. Which of the following linear equations has a negative slope? Circle all that apply. A. y = 2x – 5 B. y = 4– 7x C. y=-3 D. X = -1 E. y=-5/4x+2 F. y=1/2x-2​

Answers

Answer:

C) y= -3, D) x= -1, E y= -5/4x +2

Step-by-step explanation:

C D and E if you plot them on a graph it would be a negative slope

How much simple interest is earned on $4,000 at an interest rate of 2.25% in 4.5 years? Rounded to the nearest cent

Answers

Answer:

I = Prt

Step-by-step explanation:

I = 4000(.0225)(4.5)

I = $405

3. The diagonal of a rectangular field is 169 m. If the ratio of the length to the width is 12:5, find the:
(a) dimensions;
(b) perimeter of the field.​

Answers

The dimensions are 156m and 65m

The perimeter is 442m.

What are the dimensions?

The formulae that can be used to determine the dimensions when the ratio of the dimensions are given and the diagonal is given are:

h = [tex]\frac{H}{\sqrt{ 1 + r^{2} } }[/tex]

w = [tex]\frac{Hh}{\sqrt{ 1 + r^{2} } }[/tex]

Where:

h = height H = hypotenuse r = ratio of width to the height : 5/12 = 0.41667w = width

h = [tex]\frac{169}{\sqrt{ 1 + 0.41667^{2} } }[/tex] = 156m

w = [tex]\frac{(169 x 156)}{\sqrt{ 1 + 0.41667^{2} } }[/tex] = 65m

The perimeter of a rectangle = 2(length + width)

2(156 + 65)

2(221) = 442m

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