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Leokris [45]
2 years ago
7

21 = -3c + 7 -5c -2i need help with this multi step equation question​

Mathematics
2 answers:
JulijaS [17]2 years ago
6 0
<h3>Answer:</h3>

<u>On solving equation, we get</u>

  • - 3c + 7 - 5c - 2 = 21
  • - 8c + 5 = 21
  • - 8c = 21 - 5
  • - 8c = 16
  • c = - 16/8
  • c = - 2.

<u>Hence, the value of c for given equation is - 2</u>.

belka [17]2 years ago
5 0

Answer:

c=-2

Step-by-step explanation:

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yan [13]
To start set up a fraction with the f(x) on top and g(x) on bottom
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3 years ago
Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?
AveGali [126]

Answer:

1) The inequality for the given system are

y ≥ 4x - 4

y ≥ x - 1.5

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Step-by-step explanation:

Given : A graph showing  a system of inequalities.

We have to find the system of inequality.

For line 1)

The points that cut the x and y axis are (1,0) and (0,-4)

Thus, we can find the equation of line using two given point.

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Substitute, we get,

m=\frac{-4-0}{0-1}=4

Slope is 4.

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-4 = 4(0) + c ⇒ c = -4

Thus, equation becomes y = 4x - 4

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For (0,0)

y = 4x - 4 becomes 0 = - 4  is satisfied when 0 > -4

thus, the inequality becomes y ≥ 4x - 4

Since, the line is a solid so it will take up equality sign too.

For line 2)

The points that cut the x and y axis are (1.5,0) and (0,-1.5)

Thus, we can find the equation of line using two given point.

Since the general equation of line is y = mx + c

Where m is slope and c is y intercept

Slope is find as m=\frac{y_2-y_1}{x_2-x_1}

Substitute, we get,

m=\frac{-1.5-0}{0-1.5}=1

Slope is 1.

Thus, equation becomes y = x + c

For c put (0,-1.5)  in the above equation , we have,

-1.5 = (0) + c ⇒ c = - 1.5

Thus, equation becomes y = x - 1.5

For inequality take a test point (0,0) and we check for which inequality it satisfies the graph region

For (0,0)

y = x - 1.5 becomes 0 = -1.5  is satisfied when 0 > - 1.5

thus, the inequality becomes y ≥ x - 1.5

Since, the line is a solid so it will take up equality sign too.

Thus, the inequality for the given system are

y ≥ 4x - 4

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Also,  The test point (0,0)  satisfies both of the inequalities in the system represented by the graph.

6 0
3 years ago
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Answer:

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Step-by-step

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