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3 years ago

What is an equation of the line that passes through the points (-4,1) and (4,4)?

Mathematics

1 answer:

Ray Of Light [21]3 years ago

8 0

Answer:

y = $\frac{3}{8} x + \frac{5}{2}$

Step-by-step explanation:

☆Remember: $m = \frac{y_2 - y_1}{x_2 - x_1}$

☆Remember: Slope-intercept form -> y = mx + b

☆Now. We first need to find the slope.

$m = \frac{4 - 1}{4 - (- 4)} = \frac{3}{8}$

☆Now the y-intercept.

$y = mx + b \\ \\ 4 = \frac{3}{8} (4) + b \\ \\ 4 = \frac{3}{2} + b \\ \frac{ - \frac{ 3}{ 2} = - \frac{ 3}{ 2} \: \: \: \: \: \: \: \: \: \: }{ \frac{5}{2} = b }$

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A particular shoe store stocks two styles of walking shoes. Style A sells for $66.95 and Style B sells for $84.95. At the end of

Gnom [1K]

Answer:

Style A shoes sold : 152

Style B shoes sold : 88

Step-by-step explanation:

Let :

Style A shoes = x
Style B shoes = y

Forming equations :

x = 2y - 24
66.95x + 84.95y = 17,652

Substitute the value of x from 1 in 2.

66.95 (2y - 24) + 84.95y = 17,652
133.90y - 1606.80 + 84.95y = 17,652
218.85y = 19258.80
y = 88

Finding x :

x = 2(88) - 24
x = 176 - 24
x = 152

Solution :

Style A shoes sold : 152
Style B shoes sold : 88

8 0

2 years ago

The surface area of a cube is 600 square inches. What is the area of one of its faces?

USPshnik [31]

Answer:

Step-by-step explanation:

area of a square = side^2

area of a cube = 6 x side^2

let the side be a .

6a^2 = 600

=> a^2 = 600/6

=> a^2 = 100

Hence the area of one of its faces is 100 square inches.

or in plain terms without using those formulas,

6 faces of the cube have 600 square inches

=> 1 face of the cube has 600/6 = 100 square inches

3 0

3 years ago

A submarine submerged at a depth of -35.25 meters dives an additional 8.5 meters.

yawa3891 [41]

Answer:

-43.75

Step-by-step explanation:

-35.25-8.5

your already at -35.25 and if you go deeper 8.5 you subtract it

5 0

4 years ago

Drag steps of the solution into order to solve for x in the equation 6(x–5)=54.

Zanzabum

Alright first things first you need to distrubute 6(x-5) so that will be 6x-30=54
In order for you to get x by itself you need to add -30 on both sides so that'll be your second step is to add -30 on both sides: -30+-30 54+-30. Cancel out -30 and add the 54 and -30 together and you'll get 24.
Third and final step you have 6x=24 but you aren't done yet. You need to get X by it self so divide 6 on both sides. Cancel out the x and now you have x by itself. Divide 24 and 6 and you'll get 4

So your answer will be x=4.

Hope this helped :)
have a great day

4 0

3 years ago

A professor has noticed that, even though attendance is not a component of the final grade for the class, students that attend r

andrew11 [14]

Answer:

A) 57%

B) 16%

C) 53%

D) 57%

Step-by-step explanation:

Let R1 be students that attend class regularly

R2 be students that don't attend class regularly

A be students that receives A's in class

A) From the question A/R1 =57%

P(A/R1) = 0.57

B) From the question students that receive As that does not attend lectures regularly =16%

C) P(R2) = 1 -0.57 = 0.43

P(A) = P(A/R1) × P(R1) + P(A/R2)×P(R2)

P(A) = (0.57× 0.81) + (0.16×0

43)

P(A) = 0.46 + 0.0688= 0.53

The overall percentage that recieved A's = 53%

D) 57% recieved A's given that they attend class regularly.

4 0

3 years ago