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Studentka2010 [4]
3 years ago
5

Find the slope and the y-intercept of the graph of the linear equation. 1. y=3x-7 2. y-1=-2/3x

Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Answer:

1) Slope: 3; y-intercept: -7

2) Slope: 2/3; y-intercept: 1

Step-by-step explanation:

y = mx + b; m is slope and b is y-intercept

1. y = 3x - 7

The equation is already in slope-intercept form, so you can find the slope and intercept.

Slope: 3

y-intercept: -7

2. y - 1 = 2/3x

For this one, you have to convert this into slope-intercept form (solving for y)

y - 1 = 2/3x

Add 1 to both sides

y - 1 + 1 = 2/3x + 1

y = 2/3x + 1

Now that the equation is in slope-intercept form, you can get the slope and y-intercept.

Slope: 2/3

y-intercept: 1

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The quotient of a number, divided by 3, equals-8
melisa1 [442]

Answer:

x / 3 = -8

Step-by-step explanation:

5 0
2 years ago
I have no idea what this is-
Studentka2010 [4]

Answer:

the question is asking you to find the area i.e length of the angle and for that you have to find out the length of the xy and kz by making equations.

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6 0
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Read 2 more answers
A’s DJ service charges a $200 setup fee and $75 an hour after that.
Bogdan [553]

The total cost includes the setup cost + per hour cost.

Let, x represents the time and y represents the total cost.

y=200+75x .... (1)

Let Y represent the cost for B's DJ service.

y=125x .... (2)

a. Graphing both the equations give the intersection point (solution) as (4,500)

It means for 4 hours, the total cost of both the DJ's is same at $500.

b. Substitution Method.

Plug y = 125x in equation (1)

125x= 200+75x

125x-75x=200

50x=200

x=4

y=125\times 4 =500

Hence, the total cost for 4 hours in both the service is $500.

c. Addition method.

Multiply equation (2) by -1

-y = -125x.... Equation (3).

Add euation (1) and equation (3)

y+(-y) = 200+75x-125x

0=200-50x

50x=200, x=4

y=500

Solution: For x = 4, y = 500 ( same as the previous two methods)

For x = 2, equation (1)

y=200+(75\times 2) = 350

For x = 2, equation (2)

y= 125\times 2 =250

Hence, for 2 hours, DJ B would be a better choice since it would charge $250.

For x = 6 hours, equation (1)

y=200+(75\times 6) =650

For x= 6, equation (2)

y=125\times 6=750

For 6 hours, DJ A would be  better option since it charges $650 for 6 hours.



8 0
3 years ago
X<9.7 on a line graph
fiasKO [112]
The inequality x < 9.7 tells us x needs to smaller than 9.7.
A number like 5 will be fine. Because 5 < 9.
But someone like 10 won't be fine.
Because 9 < 10.

Even 9.7 won't be suffice.

Because 9.7 < 9.7 does not make sense. If it was 9.7 <= 9.7 then it would be fine.
4 0
3 years ago
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