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Butoxors [25]
3 years ago
11

Which point is a solution to the inequality shown in this graph? (0,1) (3,-1)

Mathematics
2 answers:
Sonbull [250]3 years ago
6 0

All points in the shaded area are answers to the inequality.  Thus you need to find the point which is in the shaded area of the graph.

Only the point (3, -1) is within range.  Thus answer D is correct.

katrin2010 [14]3 years ago
3 0

Answer:

Option D, (3, -1)

Step-by-step explanation:

In the inequality shown in the graph all the points which lie above the line (in the shaded part) will be the solution.

Option A) (0, -5)

Since this point lies below the line so it is not the solution.

Option B) (0, 0)

It's below the line again therefore not the solution.

Option C) (5, -5)

It lies below the line. Therefore it is not the solution.

Option D. (3, -1)

This point lies on the line therefore satisfies the condition.

Therefore Option D. (3, -1) is the only solution.

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What is 1.2+d+0.4=9.7?
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1.2 + d + 0.4 = 9.7

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3 years ago
Find P(5)-p(3) if P(2x)+P(4x)+P(6x)=24x-6
professor190 [17]

Answer:

P(5) - P(3) = 4

Step-by-step explanation:

<em>Lets explain how to solve the problem</em>

Assume that P(x) is a linear function, that because the sum of P(2x),

P(4x), and P(6x) is linear ⇒ (24x - 6 is linear)

∵ The form of the linear function is y = ax + b

∴ P(x) = ax + b

Substitute x by 2x

∵ P(2x) = a(2x) + b

∴ P(2x) = 2ax + b

Substitute x by 4x

∵ P(4x) = a(4x) + b

∴ P(4x) = 4ax + b

Substitute x by 6x

∵ P(6x) = a(6x) + b

∴ P(6x) = 6ax + b

Add the three functions

∴ P(2x) + P(4x) + P(6x) = 2ax + b + 4ax + b + 6ax + b

Add like terms

∴ P(2x) + P(4x) + P(6x) = 12ax + 3b ⇒ (1)

∵ P(2x) + P(4x) + P(6x) = 24x - 6 ⇒ (2)

Equate (1) and (2)

∴ 12ax + 3b = 24x - 6

By comparing the two sides

∴ 12a = 24 and 3b = -6

∵ 12a = 24

Divide both sides by 12

∴ a = 2

∵ 3b = -6

Divide both sides by 3

∴ b = -2

Substitute these values in P(x)

∵ P(x) = ax + b

∴ P(x) = 2x + (-2)

∴ P(x) = 2x - 2

Now we can find P(5) - P(3)

∵ P(5) = 2(5) - 2 = 10 - 2 = 8

∵ P(3) = 2(3) - 2 = 6 - 2 = 4

∴ P(5) - P(3) = 8 - 4 = 4

* P(5) - P(3) = 4

5 0
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What is -4/5 * 10/16
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The answer is -1/2. Hope that helped.
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