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tatyana61 [14]
2 years ago
15

What is the equation, in slope-intercept form, of the line that passes through (0, −2) and has a slope of −3?

Mathematics
2 answers:
Julli [10]2 years ago
4 0

Answer:

y= -3x-2

Step-by-step explanation:


Mumz [18]2 years ago
4 0

Answer:

y = -3x - 2

Step-by-step explanation:

Slope intercept form: y = mx + b.

Note that: (x , y) = (0 , -2) & m (slope) = -3

Plug in the corresponding numbers to the corresponding variables:

-2 = (-3)(0) + b

Simplify. Solve for b.

-2 = 0 + b

b = -2

Plug in  -3 for m (given) & -2 for b (the answer we got) to the original form:

y = -3x - 2 is your answer

~

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Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number
Iteru [2.4K]

Answer:

<h2>y=0.35m+50</h2>

Step-by-step explanation:

Step one:

given data

the daily fee= $50

cost per mile driven =$0.35

Let m = the number of miles

let y be the total cost

Step two

Required

the expression for the total cost is

An algebraic expression that shows the amount he will pay for the van. is  

<em>y=0.35m+50</em>

4 0
3 years ago
Which statement is true about -14 and -8 ?
VladimirAG [237]

Answer:

B

Step-by-step explanation:

3 0
2 years ago
There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop
Sonbull [250]

Answer:

24 people

Step-by-step explanation:

((The numbers are up there, so I am not going to define each variable.))

For starters, there is no overlap between the double facilities groups, except the triple facility users, so:

19 + 9 + 16 - 4 = 40 people

Since there is overlap between single and double groups, you will need to subtract, so:

Gym: 73 - 19 - 16 = 38

Pool: 59 - 19 - 9 = 31

Track: 31 - 9 - 16 = 6

Total for 1 facility: 38 + 31 + 6 - 4 = 71 people

((Minus 4 because the 4 triple facility users overlap the double facility users (problem is in layers: layer 1 minus layer 2, then minus layer 3).))

Next, add the totals:

71 + 40 = 111 people (using facilities)

135 - 111 = 24 people (who didn't use any)

(((I'm not 100% sure on this answer, so if someone could check my work, that would be much appreciated.)))

4 0
3 years ago
What is the y value in the solution to this system of linear equations?
Travka [436]

Answer:

The y-value is -20

Step-by-step explanation:

So let's solve this by Elimination method;

-2(4x + 5y = -12)

4(2x + 3y = -16)

Let's Distribute;

-8x - 10y = 24

8x + 12y = -64

So x cancels out because -8 + 8 = 0

-10y + 12y = 2y

24 - 64 = -40

2y = -40

Divide both sides by 2;

y = -20

Now lets plug in y to find the value of x;

4x + 5(-20) = -12

4x - 100 = -12

Add 100 to both sides;

4x = 88

Divide both sides by 4;

x = 22

8 0
3 years ago
A jar contains 46 quarters and pennies. The total value of the coins is $4.30. Which system of equations can be used to find p,
Crazy boy [7]

Answer:

16 quarters

30 pennies

Step-by-step explanation:

q= quarters

p=pennies

set up a system of equations. One equation is for total value, the other is total # of coins.

q + p = 46

0.25q + 0.01p = 4.30 -> multiply this equation by 4 so you can subtract from the top equation

q + P =46

1q + 0.04p = 17.20

subtract the bottom equation from the top

0.96p = 28.8

divide by 0.96

p=30

substitute p in the top equation

q + 30 = 46

subtract 30 from both sides

q = 16

4 0
3 years ago
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