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kozerog [31]
3 years ago
8

What's the solution set of –5 < 2x – 1 < 3?

Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Answer:

The answer is - 2 < x < 2

Step-by-step explanation:

–5 < 2x – 1 < 3

Add 1 to both sides to eliminate - 1

That's

- 5 + 1 < 2x - 1 + 1 < 3+ 1

- 4 < 2x < 4

Divide both sides by 2

That's

- 4/2 < 2x/2 < 4/2

The final answer is

<h3 /><h3>- 2 < x < 2</h3>

Hope this helps you

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Pedro and Paola are married and file their taxes jointly.Paola's taxable income was $55,675
uysha [10]

Answer:

Pedro and paola don't seem so happy together

4 0
3 years ago
The slope of a line is the ratio of rise to run for any two points on a line. Is this a true statement? Explain in two to four s
Blizzard [7]

Answer:

True

Step-by-step explanation:

The slope is the ratio of rise to run for any two points on a line.

The rise is the change in vertical axis, y

Rise = y2 - y1

The run is the change in the horizontal axis, x

Run = x2 - x1

Slope is the ratio of both:

Rise / Run = (y2 - y1) / (x2 - x1)

8 0
3 years ago
What is the value of K?
Ksju [112]
Answer: The value of k for which one root of the quadratic equation kx2 - 14x + 8 = 0 is six times the other is k = 3.
Let's look into the solution step by step.

Explanation:

Given: A quadratic equation, kx2 - 14x + 8 = 0

Let the two zeros of the equation be α and β.

According to the given question, if one of the roots is α the other root will be 6α.

Thus, β = 6α

Hence, the two zeros are α and 6α.

We know that for a given quadratic equation ax2 + bx + c = 0

The sum of the zeros is expressed as,

α + β = - b / a

The product of the zeros is expressed as,

αβ = c / a

For the given quadratic equation kx2 - 14x + 8 = 0,

a = k, b = -14, c = 8

The sum of the zeros is:

α + 6α = 14 / k [Since the two zeros are α and 6α]

⇒ 7α = 14 / k

⇒ α = 2 / k --------------- (1)

The product of the zeros is:

⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]

⇒ 6α 2 = 8 / k

⇒ 6 (2 / k)2 = 8 / k [From (1)]

⇒ 6 × (4 / k) = 8

⇒ k = 24 / 8

⇒ k = 3
6 0
2 years ago
Fine slope intercept form <br> y = x+7 (2, 3)<br> Help please and thanks
Dimas [21]

Answer:

y=x7 X 5

Step-by-step explanation:

6 0
3 years ago
18=3(1+12 x)-5(10x+11)
madreJ [45]
18=3+36x-50x-55

18=3-14x-55

18=-14x-52

70=-14x

x=-5
6 0
3 years ago
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