A music company offers lessons. They charge a registration fee of $30 and then $40 per lesson The equation y 40x + 30 represents the total cost y of x lessons. What is the y-intercept and what does it represent in the context of the problem?​

Answer: -1/4

Step-by-step explanation: The slope is rise over run. The ski run drops 5, so it would be -5, and the horizontal change of 20 would be the run, so you'd get -5 over 20 then you divide both by 5 and you get your answer of -1 over 4.

-1/4  is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given the slope of a ski run that rises 5 feet for every horizontal change of 20 feet

So the two points are (0,5) and (20,0)

m=0-5/20-0

m=-5/20

m=-1/4

Hence -1/4  is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet

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Answer:

$9.25

Step-by-step explanation:

2.75+ .5(13)

.50 (13)= 6.5

6.5 +2.75= 9.25

Answer:

$569.50

Step-by-step explanation:

15% deduction from the initial price(100%) will have us remaining with 85%

100% = 670

85% = 85% x 670

                100%

= $569.50

Answer: x = 1

Step-by-step explanation:

Simplifying

-4(-6x + 3) = 12

Reorder the terms:

-4(3 + -6x) = 12

(3 * -4 + -6x * -4) = 12

(-12 + 24x) = 12

Solving

-12 + 24x = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + 24x = 12 + 12

Combine like terms: -12 + 12 = 0

0 + 24x = 12 + 12

24x = 12 + 12

Combine like terms: 12 + 12 = 24

24x = 24

Divide each side by '24'.

x = 1

Simplifying

x = 1

Answer:

Step-by-step explanation: heyy... the pic attached below shows all the steps with a brief explanation. I hope it helps u !!!

Answer:

The answer is (3-,5) watch is C cause if you do that but in math form it's the same

Answer:

x=-4

y=7

z=14

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Answer:

Shii I hope so

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

what u gotta do is add 46 with 8 and you can check my answer with 54-46=8

difference means you subtract

sum means you add

product means you multiply

and quotiant means you divide

The required number is 27.

Given that,
To determine the number the difference of a number and 8 is 46 less than the number

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number be x
The difference between a number and 8 is 46 less than the number
8 - x = x - 46
2x = 54
x = 27

Thus, the required number is 27.

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Answer:

Step-by-step explanation:

-1/5 x+3 ≤7

-1/5 x≤7-3

-1/5 x≤4

x≥-20

{-20,-10,0,10,20}

Answer:

5 x - 6 y - 8 = 0.

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Using translation concepts, it is found that the corrects options are:

B. The graph of g is a vertical stretch of the graph of f.

C. The graph of g is a reflection over the x-axis of the graph of f.

In this problem, the functions are:

[tex]f(x) = |x|[/tex]

[tex]g(x) = -2|x|[/tex]

g is the function of f multiplicated by -2, hence:

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Answer:

it is the first answer(2x+2,y)

DESCRIPTION

the midpoint can be found with

(x1+x2/2, y1+y2/2)

Answer:

Fraction: 9/16

Decimal: 0.563

Answer:

- 7/4

Step-by-step explanation:

1) (y2 - y1)/(x2 - x1)

2) pick two points, mine were (1,-3) and (-3,4)

3) Substitute the values (4+3)/(-3-1)

4) Solve and no matter what points you’ll get -7/4

Answer: 22

Step-by-step explanation:

Answers:

x = 3

y = 9

=========================================================

Explanation:

We're told that angle A is 20x. The diagram shows we have an equilateral triangle (since all three sides are the same length), so we know that all angles are the same measure and they are equal to 60 degrees.

Equate 20x and 60. So we solve 20x = 60 and that leads to x = 3 after you divide both sides by 20.

Since we have a triangle with all sides equal, we know that AB = AC = 9, therefore y = 9 because y is the length of AB.

Answer: (-3, 0) and (-2, 0)

Step-by-step explanation:

1. Factor

(x+3)(x+2) = 0

2. Check if your factoring is correct

x^2 + 3x +2x + 6 = 0

x^2 + 5x + 6 = 0

3. Look back at factors and use them to find the zeros

(x+3) - > (-3, 0)

(x+2) -> (-2, 0)

Given :

The height of a building is 1417 ft.

To Find :

How long would it take an object to fall to the ground from the top.

( Use the formula s = 16t² where s is the distance, in feet traveled by an object falling freely from rest in seconds. )

Solution :

Putting value of height in given equation, we get :

[tex]16t^2 = 1417\\\\t^2 = \dfrac{1417}{16}\\\\t^2 = 88.5625\\\\t = \sqrt{88.5625}\\\\t = 9.41 \ seconds[/tex]

Therefore, time taken by object to reach the ground is 9.41 seconds.

Answer:

40%

Step-by-step explanation:

10000 = 5000 = 50% + 9000 = 40%

Answer:

Zero

Step-by-step explanation:

Average rate of change can also be called as gradient or change in the respective variable , in this case we need the average rate of change of y which has the function y = -7

Since this is a linear function and if we draw the graph of y = -7 the graph would be parallel to the x-axis, and any line parallel to the x-axis has slope of zero , hence the average rate of change of the function y = -7 is zero

Answer:

Step-by-step explanation

By Using Synthetic Division Method:

3                   1    0    -19    30

                          3      9    -30

                    1     3    -10    0

factorise: (x^2+3x-10)(x-3)

                =(x+5)(x-2)(x-3)

Answer:

ITs B on edge

Step-by-step explanation:

cause i said so cuzzzz

Answer:

55%

Step-by-step explanation:

66

120

x 100% = 55%

Answer:

66 is 55% of 120

Step-by-step explanation:

66 = 120 * x%

percent just means out of 100

for example, 20% is equal to 20/100

so, x% is x/100

66 = 120 * x/100

66/[tex]\frac{x}{100}[/tex] = 120

66 * 100/x = 120

6600/x = 120

cross multiply

6600/x = 120/1

6600 * 1 = x * 120

6600/120 = x

x = 55

Answer: Hope this helps!

Step-by-step explanation:

Area of a trapezoid formula base a+base b/2*h

Base a is the top length (22.5)

Base b is the bottom length (49.9)

Add those two lengths together (22.5+49.9=72.4)

Divide that by two (72.4/2=36.2)

Then multiply that by the height (36.2*23.8=861.56)

So your area is 861.56

Answer:

7/50

Step-by-step explanation:

That is the simpliest fraction. Hope dis helps

Answer:

it is c

Step-by-step explanation:

Answer:

Completing the square

Put the equation into the form ax 2 + bx = – c.

Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).

Using the value of b from this new equation, add. ...

Find the square root of both sides of the equation.

Solve the resulting equation.

Step-by-step explanation:

there

Answer: Put the equation into the form ax 2 + bx = – c.

Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).

Using the value of b from this new equation, add.

Find the square root of both sides of the equation.

Solve the resulting equation.

Step-by-step explanation: Hope this helps!

Answer:

-14x+21

Step-by-step explanation:

-7(2x-3)

-14x+21

Answer:

-14x+21

Step-by-step explanation:

Answer:

7 and 21

Step-by-step explanation: