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Bad White [126]
3 years ago
6

A line intersects the points (6, -12) and (15, -3). What is the slope intercept equation for this line?

Mathematics
1 answer:
Korolek [52]3 years ago
8 0
Let's say that the unknown value here is c. Although we are given two points on the line, it is only necessary to use one as there is only one unknown value, so let's say we choose the point (6, -12) and substitute this into the equation:

-12 = 1(6) - c
-12 - 6 = -c
-18 = -c
c = 18

Thus the equation for the line is y = 1x - 18
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Answer:

  1. $70
  2. y = 25 + 0.9x
  3. $250

Step-by-step explanation:

1. 10% of $50 is $5, so the purchases would come to $50 -5 = $45. Added to the $25 membership fee, the total cost for the year would be

  $45 +25 = $70

2. The member pays $25 even if no purchases are made. Then any purchases are 100% - 10% = 90% of the marked price. So, the total is ...

  y = 25 + 0.90x

3. $25 is 10% of $250, so that is the amount the member would have to purchase to break even on cost.

If you like, you can compare the cost without the membership (x) to the cost with the membership (25+.9x) and see where those costs are equal.

  x = 25 +0.9x . . . . . x is the spending level at which there is no advantage

  0.1x = 25 . . . . . . . . subtract 0.9x

  25/0.1 = x = 250 . . . divide by 0.1

4 0
3 years ago
Solve the equation below for x.<br> x – 15.2 = 76
Amanda [17]

Answer:

91.2

Step-by-step explanation:

add to both sides 15.2 so 76+15.2=91.2

7 0
2 years ago
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ipn [44]

Answer:

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Step-by-step explanation:

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Does the point (5, 2) satisfy the inequality y &lt; 9x + 4?
Allushta [10]

Answer:

yes

Step-by-step explanation:

2< 9(5) + 4

2 < 45 + 4

2 < 49

6 0
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