write an equation in slope-intercept form for the line that has a slope of 4 and passes through the point (3,24)​

Answers

Answer 1

Answer:

y = 4x + 12

Step-by-step explanation:

y = mx + b

'm' represents slope

'b' represents the y-intercept

use the slope and the point (3,24) as your x and y inputs to find 'b'

24 = 4(3) + b

24 = 12 + b

b = 12

y = 4x + 12


Related Questions

A student has to buy graph paper and printer paper. The graph paper, x, costs $2, while the printer paper, y, costs $3. She wants to buy at least 8 packs of paper but wants to spend at most $23.

Enter a system of inequalities for the given situation and select the graph of the system. Then determine if the point (3, 6) is a solution to the system.

The system of inequalities is _______ and ______


The point (3, 6)____ a solution because it _______lie in the region shared by the two inequalities, and it ______ satisfies both inequalities.

Answers

Answer:

8+3+23

Step-by-step explanation:

Which of the following is the smallest element in the set of natural numbers?
-1
O 1
There is no smallest element; the set is infinite.
0

Answers

Answer:

your answer would be 0 mark as brainliest

Find the slope of the line below. Help please!

Answers

Answer:

-3/2

Step-by-step explanation:

go up 3 and left 2

What is the value of the following expression when b = -2 and C = 3? -12b + 5c - 15

Answers

Answer:

-24

Step-by-step explanation:

12(-2)+5(3)-15

-24+15-15

-24+15

-9-15

= -24

What is 674.649 rounded to the nearest tenth

Answers

Answer:

674.6

Step-by-step explanation:

If the hundreths place is 4 or less, then you stay the same in the tenths place, if it is 5 or more, you go up 1 in the tenths place

The price of lunch in the school cafeteria was 2.50$ last year this year the price is 2.70$. What is the percent increase

Answers

Answer:

8 percent

Step-by-step explanation:

There is an 8 percent increase, because if you do 20 cents divided by 250 cents, you get 0.08, which is 8 percent. Also to double check, you can do 250 * 1.08. By the way, that is some rip off lunch.

The coordinate plane shows the graphs of two exponen functions which equation is true?

Answers

Answer:

A

Step-by-step explanation:

The functions f(x) and m(x) are graphed below. If m(x) = f(x) + k, what is the value of k

Answers

Answer:

k = m(x) - f(x)

Step-by-step explanation:

m(x) = f(x) +k

m(x) - f(x) = k

Here is a rectangle
7 cm
3 cm
Nor drawn
accurately
A square has the same perimeter as the rectangle.
What is the side length of this square?​

Answers

Answer:

a square and rectangle have the same perimeter. the length of the rectangle is 4 cm less than twice the side of the square, and the width of the rectangle is 6 cm less than the side of the square.

Step-by-step explanation:

jayfeather friend me

The required side length of the square is 5 cm.

What is rectangle?

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

Length of rectangle = 7 cm,

Width of rectangle = 3 cm.

The perimeter of rectangle = 2(length + width)

                                             = 2(7 + 3)

                                             = 2 x 10

                                             = 20

Also, given that the perimeter of the rectangle is equal to the perimeter of a square,

Let side of square is a then perimeter = 4a

⇒ 4a = 20

⇒ a = 5

The side length of the square is 5 cm.

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Pls HELP I BEG YOUUUU

Answers

Answer:

x = 60

Step-by-step explanation:

(x+22) + (x+6) + (x-28) = 180

x + 22 + x + 6 + x - 28 = 180

x + x + x + 22 + 6 - 28 = 180

3x = 180

x = 180/3

x = 60

convert 135 degrees into radians​

Answers

Answer:

135° = 2.355 rad

Step-by-step explanation:

π rad = 180°1° = π/180 rad135° = 135π/180° rad135° = 135*3.14/180 rad135° = 2.355 rad

What is the formula you would use to find the area of a triangle? Explain how that formula is related to the area formula for a rectangle.

Answers

Answer:

1/2 b*h

Step-by-step explanation:

for rectangle it is b*h means double of that traingle

Jeff invests $1000 in an account that pays 4.25% interest compounded monthly. How much will Jeff have in his account at the end of 4 years?

$1184.95
$1014.24
$5315.29
$1181.15

Answers

Answer:

1181.15

Step-by-step explanation:

How do I do problems like this????​

Answers

Answer:

m<1 = 62°

m<2 = 45°

m<3 = 24°

Step-by-step explanation:

Hi!

Let me walk you through it!

The first step is to find angle 1.

Angle 1 is supplementary with the angle 118°

So we do 180° - 118° = 62°

m<1 = 62°

Then we find angle 2.

There are two ways to do this

The sum of interior angles in a triangle is 180°

So we do 180° - (73 + 62°)

Open parenthesis:

180° - 73° - 62° = 45°

You can also use the exterior angle theorem

118° = 73° + m<2

Same to both sides:

45° = m<2

So

m<2 = 45°

Now, using this information, we can find angle measure 3.

Now we look at the big triangle. Again, there are two ways to do this.

First way:

m<1 + 49° + m<2 + m<3 = 180°

Plug in known-values

62° + 49° + 45° + m<3 = 180°

Combine like terms:

156° + m<3 = 180°

Same to both sides:

m<3 = 24°

Second way:

Exterior angle theorem.

118° = m<2 + m<3 + 49°

Plug in known-values:

118° = 45° + m<3 +49°

Combine like terms:

118° = 94° + m<3

Same to both sides:

24° = m<3

So m<3 = 24°

There you go! You just need to take it step-by-step and you can get the answer. Be open-minded, don't just try to go for a certain angle, see what you can do, and work from there. It all comes together at the end.

Let me know if you have any questions, have a good day!

What operation should be done first to solve 6x + 5 = 35?

Answers

Answer:

Subtract 5

Step-by-step explanation:

Pemdas is done backwards in algebra

The perimeter of the square is 36. What is the length of the diagonal, x? HELPNPLZ FOR THE LOVE OF GOD

Answers

Answer:

D. [tex] 9 \sqrt{2} [/tex]

Step-by-step explanation:

Side length of square = Perimeter/4 = 36/4 = 9

Length of diagonal (x)

[tex] = length \: of \: side \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]

simplify 4x-7y-5n+6 .

Answers

Answer:

The answer is -5n + 4x - 7y + 6

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Brainly, Please?

find the value of each variable in the parallelogram

Answers

Answer:

1. x = 15°

2. y = 12

Step-by-step explanation:

1. Determination of the value of x.

(5x – 5) + 110 = 180 (Adjacent angles add up to 180)

5x – 5 + 110 = 180

5x + 105 = 180

Collect like terms

5x = 180 – 105

5x = 75

Divide both side by 5

x = 75/5

x = 15°

2. Determination of the value of y.

3y – 4 = 2y + 8 (opposite sides are equal)

3y – 4 = 2y + 8

Collect like terms

3y – 2y = 8 + 4

y = 12

A cylinder has a base diameter of 6 centimeters and a height of 15 centimeters. What is its volume in cubic centimeters, to the nearest tenths place?



Please help

Answers

Step-by-step explanation:

V

424.12

cm³

d

Diameter

cm

h

Height

cm

A college admits a freshman class of 330 students at the beginning of each academic year and graduates 145 students twice a year. What will be the net change in student population after 5 years?

Answers

Answer:

200 students

Step-by-step explanation:

Change in one year:

330 - 2(145) = 330 - 290 = 40

Change after 5 years:

40*5 = 200 students

Solve for x
-14 + 6b + 7 - 2b = 1 + 5b

Answers

b = -8

Hope I helped!!!!!!

In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What are the lower and upper limits of a box-and-whiskers display of this data

Answers

Answer:

[tex]L =52[/tex] --- Lower Limit

[tex]U =82[/tex] --- Upper Limit

Step-by-step explanation:

Given

[tex]N = 10[/tex]

[tex]Data: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66[/tex]

Required

Determine the lower and upper limits of box and whisker display

First, arrange the data in ascending order

The sorted data is:

[tex]Data: 65, 66, 67, 68, 71, 73, 74, 77, 77, 77[/tex]

The lower limit (L) is calculated using:

[tex]L = Q_1 - 1.5 * (Q_3-Q_1)[/tex]

The upper limit (U) is calculated using:

[tex]U =Q_3 + 1.5 * (Q_3-Q_1)[/tex]

Q1 is calculated using:

[tex]Q_1 = \frac{1}{4}(N+1)[/tex]

[tex]Q_1 = \frac{1}{4}(10+1) = 2.75 = 3rd\ data[/tex]

[tex]Q_1 = 67[/tex]

Q3 is calculated using:

[tex]Q_3 = \frac{3}{4}(N+1)[/tex]

[tex]Q_3 = \frac{3}{4}(10+1) = 8.25= 8th\ data[/tex]

[tex]Q_3 = 77[/tex]

So:

[tex]L = Q_1 - 1.5 * (Q_3-Q_1)[/tex]

[tex]L =67 - 1.5*(77-67)[/tex]

[tex]L =67 - 1.5*10[/tex]

[tex]L =67 - 15[/tex]

[tex]L =52[/tex]

[tex]U =Q_3 + 1.5 * (Q_3-Q_1)[/tex]

[tex]U =67 + 1.5*(77-67)[/tex]

[tex]U =67 + 1.5*10[/tex]

[tex]U =67 + 15[/tex]

[tex]U =82[/tex]

Please help!!!!

If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Answers

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

[tex]f(1) = 2[/tex]

Now, we find f(2) in function of f(1). So

[tex]f(1+1) = f(1)^2 - 3[/tex]

[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]

Now, with f(2), we can find the value of f(3).

[tex]f(2+1) = f(2)^2 - 3[/tex]

[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]

The value of f(3) is -2.

In XYZ right angled at Y. find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.

Answers

9514 1404 393

Answer:

  6.5 cm

Step-by-step explanation:

The Pythagorean theorem applies. You want c for a=1.6, b=6.3.

  c² = a² +b²

  c² = 1.6² +6.3² = 2.56 +36.69 = 42.25

  c = √42.25 = 6.5

The length of the hypotenuse is 6.5 cm.

You are painting a room that is 16 feet long, 10 feet wide, and 8 feet high. On the walls of the room, there are two windows that are each 2 feet wide and 5 feet tall, and a door that is 4 feet wide and 7 feet tall. A gallon of paint covers 350 square feet. How many gallons of paint do you need to cover the 4 walls with one coat of paint, not including the windows and the door

Answers

You will need approximately 1.33 gallons of paint to cover the four walls with one coat, not including the windows and the door.

Given that,

Room dimensions:

Length: 16 feet

Width: 10 feet

Height: 8 feet

Features on the walls:

Two windows:

Width: 2 feet

Height: 5 feet

One door:

Width: 4 feet

Height: 7 feet

Paint coverage:

1 gallon of paint covers 350 square feet

Calculate the area of the walls first:

Subtract the area of the windows and door area from the total wall area.

The total wall area is the sum of the areas of all four walls.

The area of each wall is calculated by multiplying the height of the room by its length.

So, the area of each wall = 8 feet (height) x16 feet (length)

The area of each wall = 128 square feet.

Calculate the area of the windows and the door.

The area of each window is calculated by multiplying its width by its height.

So, the area of each window = 2 feet (width) x  5 feet (height)

The area of each window = 10 square feet.

The area of the door is calculated by multiplying its width by its height. So,

The area of the door = 4 feet (width) x 7 feet (height)

The area of the door  = 28 square feet.

Now, subtract the total area of the windows and the door from the total wall area.

Total wall area = 4 walls x 128 square feet

Total wall area  = 512 square feet

The total area of the windows = 2 windows x 10 square feet

The total area of the windows = 20 square feet

The total area of the door = 1 door x 28 square feet

The total area of the door = 28 square feet

Area to be painted = Total wall area - Total area of the windows - Total area of the door

Area to be painted = 512 square feet - 20 square feet - 28 square feet

Area to be painted = 464 square feet.

Now, we can determine the number of gallons of paint needed.

Since 1 gallon of paint covers 350 square feet,

Divide the area to be painted by 350.

The number of gallons of paint needed = Area to be painted / Coverage per gallon

The number of gallons of paint needed = 464 square feet / 350 square feet/gallon

The number of gallons of paint needed ≈ 1.33 gallons.

Hence, you will need approximately 1.33 gallons of paint to cover the four walls with one coat, not including the windows and the door.

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i need help due tonight

Answers

Answer:

Y=6

Step-by-step explanation:

5(6)+1=31

30+1=31

Answer:

y=6

Step-by-step explanation:

5y+1=31

simplify

5y=30

divide both sides by 5

y=6

Can you help if your are eligible to?

Answers

B is the correct answer18(y) = 6(x) x 3You got it correct.Please let me know if I am wrong.


Marilyn buys pens that cost $12 per dozen. What is the cost of one pen?
$12.00
$24.00
$1.00
$1.20

Answers

C is the correct answer as a dozen is twelve so the cost of one would be a dollar.
Your and would be: C) $1.00

In the pet show, 3/8 of the pets are dogs. Of the dogs, 2/3 have long hair. What fraction of the pets are dogs with long hair?

NEED NOW I WILL GIVE YOU BRAINLISET

Answers

1/4 of the dogs have long hair


3/8 x 2/3 = 6/24


6/24= 1/4

What is the distance between the two points? Use
the distance formula:
d= V(x2 – «1)? + (y2 – yı)?

Answers

Answer:

[tex]d= 3.61\ units[/tex]

Step-by-step explanation:

The points (missing) from the question are:

-2,1 and -5,3

Required

Evaluate [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

In the points given:

[tex](x_1,y_1) = (-2,1)[/tex] and [tex](x_2,y_2) = (-5,3)[/tex]

Substitute these values in [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

[tex]d= \sqrt{(-5 - (-2))^2 + (3 - 1)^2[/tex]

[tex]d= \sqrt{(-3)^2 + (2)^2[/tex]

[tex]d= \sqrt{9 + 4[/tex]

[tex]d= \sqrt{13[/tex]

[tex]d= 3.61\ units[/tex] -- approximated

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