The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,-8), which equation should he use to find the y-intercept and what is the y-intercept of the line? Choices are as follows: b = y + mx b = y - mx b = [tex]\frac{y-m}{x}[/tex] b = -12 b = -4 b = 2

Answer:

0

Step-by-step explanation:

20 cancels itself out so

-4x = x

-4x - x = 0

-5x = 0

divide both sides by -5x

x= 0 but we don't write it out

For the equation -4x+20 to have infinite solution , it should be equal to

-4x+20 = -4x+20 , so the blank value is -4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be -4x+20 = blank x + 20

Now ,

If the lines are coincident and have the same y-intercept, an endless solution can be generated.

The two lines with the same y-intercept and slope are the same line.

If the two lines share the same line, the system will produce an infinite solution. As a result, if the system of equations contains an infinite number of solutions, the system is consistent.

So , Both the equations should be equal for it to have infinite solutions

Therefore , -4x+20 = -4x+20

Hence , the value of the blank is -4

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Mr. Gonzalez's monthly sales must be $87,500.

"It is a number or ratio that can be expressed as a fraction of 100"

For given example,

Let 's' represents the monthly sale.

So, the annual sales are 12 × s

He makes 4% commission on all of his sales.

So, the commission on (12 × s) sales would be,

= 12 × s × (4%)

= 12× s × 0.04

Mr. Gonzalez wants to earn $60,000 this year.

So, we get an equation,

⇒ 18000 + (12 × s × 0.04) = 60000

⇒ 12 × s × 0.04 = 60000 - 18000

⇒ 12 × s × 0.04 = 42000

⇒ s × 0.04 = 42000/12

⇒ s × 0.04 = 3500

⇒ s = 3500/0.04

⇒ s = 87500

Therefore, Mr. Gonzalez's monthly sales must be $87500.

Learn more about percent here:

https://brainly.com/question/22111589

#SPJ2

Answer:

0.244

Step-by-step explanation:

Step 1:

12.894 - 12.65

Answer:

0.244

Hope This Helps :)

Answer:  13.244

Step-by-step explanation:

Answer:

I got the answer 5 over 2

Answer:

5/2

Step-by-step explanation: hope it helps :)

Answer:

$18

Step-by-step explanation:

small -$3

large - $15

3+15=18

Answer: The equation is $3 + ($3 x 5)

Step-by-step explanation:

You add $3 to 3 multiplied by 5 to get the cost of the second car which will then give you the cost of both cars. Then you simplify and get $3 + $15 which gives us the answer $18. So the cost of both the cars is $18.

Answer:

202.50 was collected in the second month of school

Step-by-step explanation:

thee are fifteen total members and 6 had already paid witch means that 9 still had to pay. 9 times 22.50 is 202.50

Answer:

[tex]14^{2}[/tex] [tex]or 196[/tex]

Step-by-step explanation:

[tex]14^{6}[/tex] ÷ [tex]14^{4}[/tex]

all you have to do it subtract

[tex]14^{6} - 14^{4}[/tex]

=

[tex]14^{2}[/tex]

which is equivalent as 196.

to solve [tex]14^{2}[/tex], it's just

14 × 14 = 196

1       2

C. x = -7

2x + 23 = x + 16

x = -7

Answer:

3160

Step-by-step explanation:

3.16 x 10^3

10^3 = 1000

so you move the decimal point three times to the right

I hope this helps

Answer:

3,160

Step-by-step explanation:

This is expressed in scientific notation. Since 3 is positive, that means the number is actually larger than 3.16, not smaller.

You would take

3.1600

and move the decimal point 3 spaces to the right

31.600

316.00

3160.0

3,160 is your answer

Hope this helps :-)

Answer:

You will submit your completed work from the "Explore: Famous People" assignment here. Type or copy/paste your response directly into the space provided.

As a reminder, the activity instructions are included below:

Using Spanish resources, research a famous historical figure from a Spanish-speaking country. You may consider finding information on Miguel Hidalgo, Simón Bolívar, José de San Martín, Benito Juarez or Ferdinand and Isabel.

In 1-2 Spanish paragraphs, write a brief biography and then describe his/her important contributions. In addition, explain this person's significance in the country where he/she is from.

You will be graded on (1) evidence of research conducted, (2) appropriateness of response, and (3) overall quality of your response.

You may use outside sources (Internet, books, magazines, etc.) to gather information for this assignment. However, be sure not to copy the information directly from those sources. Copying information and presenting it as your own work is considered plagiarism and will result in a failing grade. You will need to rephrase the information into your own words and cite the source of the information you used.

Step-by-step explanation:

RS = RT + TS = 24 cm

Let's plug our values into the equation above

24cm = 6x - 4 + 10cm

Combine like terms

24 cm = 6x + 6 cm

Subtract 6 cm from both sides

18 cm = 6x

Divide both sides by 6

3 = x

Plug 3 into the expression for RT

RT = 6(3) - 4 = 18 - 4 = 14 cm

Similarly, we know that TS = 10 cm and RS = 24 cm

24 cm - 10 cm = 14 cm

RT = 14 cm

14 cm = 6x - 4

Add 4 to both sides

18 cm = 6x

Divide both sides by 6

3 = x

Answer:

y = (6/5) - (7/5) x

Step-by-step explanation:

goal: to rearrange the equation such that it takes the form:

y = f(x) ; where f(x) is an expression in terms of x

Given:

7x+5y=6   subtract 7x from both sides

5y = 6 - 7x   (divide both sides by 5)

y = (6-7x) / 5

y = (6/5) - (7/5) x

Answer:

A. 56 52 feet

Step-by-step explanation:

[tex]d = 18 \: ft \\ c = \pi \: d \\ c = 3.14 \times 18 \\ c = 56.52 \: ft[/tex]

The closest to the circumference is  56 52 feet.

It is required to find the circumference.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

Given:

Diameter of a circle is 18 feet.

Radius=18/2=9  feet.

We know that

circumference of the circle= 2πr

According to given question we have,

circumference of the circle= 2πr

circumference of the circle=2 π*9

circumference of the circle=56.54 feet.

Therefore, the closest to the circumference is  56 52 feet.

Learn more about circle here:

brainly.com/question/17518456

#SPJ6

Answer:

$2,500

Step-by-step explanation:

1.) 5% would be switched to decimal form which is 0.05

To do this, start with 5.

Move the the decimal point two place values to the left.

2.) Now multiply 50,000 and 0.05

3.) This equals 2,500

Answer:

2/9ths hope this helps!

Please mark brainliest.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

20%

2 out of 10 marbles is 2/10.

Convert 2/10 to a percentage.

2/10 = 20%.

The answer is 20%. Hope it helps!

Answer:

20 percent

Step-by-step explanation:

I can't get the percentage sign . lol

Answer:

the solpe is 1x or just x

Step-by-step explanation:

rise over run both are 1

Answer:

[tex]\boxed {\tt m=1}[/tex]

Step-by-step explanation:

The slope formula is:

[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are points on the line.

Let's pick two points from the graph : (1,2) and (4,5). Match the variables and numbers, so:

[tex]x_1=1\\y_1=2\\x_2=4 \\y_2=5[/tex]

Substitute the values into the formula.

[tex]m=\frac{5-2}{4-1}[/tex]

Solve the numerator. Subtract 2 from 5.

[tex]m=\frac{3}{4-1}[/tex]

Solve the denominator. Subtract 1 from 4.

[tex]m=\frac{3}{3}[/tex]

Divide 3 by 3.

[tex]m=1[/tex]

The slope of the line is 1.

Answer:

m=7

Step-by-step explanation:

step 1: -3m+6m-12=9

step 2: 3m-12=9

step 3: 3m=21

step 4: m=7

Answer:

m=7

Step-by-step explanation:

1. Simpilfy both sides of the equation & combine like terms

2.  Add 12 to both sides

3. Divide 3 from both sides

21 divided by 3 equals 7.

Answer:

840

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 14 - 7 = 21 - 14 = 7

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 7 , thus

[tex]a_{120}[/tex] = 7 + (119 × 7 ) = 7 + 833 = 840

Answer:

I think that the answer would be y=18x−127

Answer:

(3x)-20

Step-by-step explanation:

Answer:

3x-20

Step-by-step explanation:

You just collect like terms. you add -5x + 8x = 3x and -12+-8 =-20

Answer:

[tex]MP= (-2,1 )[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{-8+4}{2} )(\frac{5+-3}{2} )\\MP= (\frac{-4}{2} )(\frac{2}{2} )\\MP= (-2,1 )[/tex]

Answer:

The rate of change is 9.5 ft/min

Step-by-step explanation:

every minute the balloon rises in 9.5 feet increments

Answer:

its 9.5

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation: