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Alex73 [517]
3 years ago
5

What is the equation of the line passing through the point (4, 5) that is parallel to the line with the equation

Mathematics
1 answer:
Reptile [31]3 years ago
7 0

Answer:

y=2x-3

Step-by-step explanation:

1. find the slope

6x-3y=21

-3y=-6x+21 divide both sides by -3

y=2x-7

slope is 2

2.y-5=2(x-4)

  y-5=2x-8

  y=2x-8+5

  y=2x-3

PARALLEL lines have the same slope

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4. Add. 2a + 8 + 4b + 5
Gemiola [76]

Answer:

Step-by-step explanation:

2a + 4b + 8 + 5

2a + 4b + 13

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3 years ago
This month Salesperson A made 11% of $67,530. Salesperson B made 8% of $85,740. Who made more commission this month? How much di
laiz [17]

Answer:

Salesman A made $569.1 more commission than salesman B

Step-by-step explanation:

(11/100)*67530= (amount made by salesperson A)

=7428.3

(8/100)*85740= (amount made by salesperson B)

=6859.2

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Hope this helps :D

6 0
3 years ago
You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
aliya0001 [1]

Answer:

q = -6p + 104

Step-by-step explanation:

Linear function:

A linear function has the following format:

q = mp + b

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: m = \frac{-36}{6} = -6

So

q = -6p + b

Finding b:

We replace one of the points. Replacing (4,80).

q = -6p + b

80 = -6*4 + b

b = 104

So

q = -6p + 104

7 0
3 years ago
Which number line represents the expression 7 + (−3) + (−2) +4?
vekshin1

The <u>answer would be 6</u>. The number line which shows you the number 6 or any solution for 6 would be your answer.

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3 years ago
An Astronaut drops a rock into crater on the moon. The distance,d(t), in meters, the rock travels after t seconds can be modeled
OlgaM077 [116]

speed =distance traveled over time taveled... the ansewr will be in kilometres per hour

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3 years ago
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