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V125BC [204]
3 years ago
13

3. Which graph best represents the solution to the following system? (1 point) (5x – 2y <10

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

The graph in the attached figure

Step-by-step explanation:

The complete question is

Which graph best represents the solution to the following system?

5x - 2y < (less than or equal to) 10

x + y < 5

we have

5x-2y\leq 10 ----> inequality A

isolate the variable y

Adds 2y both sides

5x \leq 10+2y

Subtract 10 both sides

5x-10 \leq 2y

Divide by 2 both sides

2.5x-5 \leq y

Rewrite

y \geq 2.5x-5

The solution of the inequality A is the shaded area above the solid line

The equation of the solid line is y=2.5x-5

The slope of the solid line is positive m=2.5

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (2,0)

x+y < 5 -----> inequality B

Isolate the variable y

Subtract x both sides

y < -x+5

The solution of the inequality B is the shaded area below the dashed line

The equation of the dashed line is y=-x+5

The slope of the dashed line is negative m=-1

The y-intercept of the dashed line is (0,5)

The x-intercept of the dashed line is (5,0)

using a graphing tool

The solution of the system of inequalities is the shaded area between the solid line and the dashed line

see the attached figure

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Answer:

We can write:

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We can rewrite the first equation as x = -y - 2 and then plug that into the second equation to get (-y-2) * y = -80 → -y² - 2y = -80 → y² + 2y - 80 = 0 → (y - 8)(y + 10) = 0 → y = 8, -10. Substituting these values into the first equation we get x = -10, 8 so the answer is (x₁, y₁) = (-10, 8) or (x₂, y₂) = (8, -10).

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Describe how (2 cubed) (2 superscript negative 4) can be simplified.
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<u>Given</u>:

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<u>Simplifying the expression:</u>

Let us determine how the expression can be simplified.

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