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svetoff [14.1K]
2 years ago
15

Which linear inequality is graphed with y > –x – 2 to create the given solution set?

Mathematics
1 answer:
valentinak56 [21]2 years ago
5 0

The Linear inequality that is graphed with y > –x – 2 to create the given solution set is; y < x + 1

<h3>How to interpret Inequality Graphs?</h3>

From the attached graph of inequalities, we see that one of the lines has its' y - intercept as -2 with a slope of -1. Thus, the equation in slope intercept form is; y = -x - 2.

The shaded region will have the inequality; y > -x - 2.

The other line has its' y - intercept as 1 and a slope of 1.

Thus, the equation of line is; y = x + 1.

The shaded part is above the line and as such the inequality region is represented by the inequality y < x + 1.

Read more about Inequality Graphs at; brainly.com/question/11234618

#SPJ1

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The value of cosine is undefined at pi and 2pi radians.<br> TRUE<br> FALSE
Naddika [18.5K]

Answer: False

Step-by-step explanation:

False, the value of cosine at pi and 2pi is equal to -1 and 1 respectively. You can test this by using the pi circle or a calculator. Let pi = 180 degrees. Cosine is always defined and alternates between 1 and -1.

4 0
3 years ago
Please help me asap<br> math
Stella [2.4K]

Answer:

I think 478.4   ._.

Step-by-step explanation:

First, find out how many gallons of gasoline she can buy with $18.50 by dividing 18.50 by 1.25 to get 14.8 gallons. Then, since he already has 6 gallons in his tank, add 6 to 14.8 = 20.8. Finally multiply this by the ratio of gallons to miles (23) to get 478.4

3 0
3 years ago
Find the measure of the third angle of a triangle given the measures of two angles.<br> 34 and 88
romanna [79]

Answer:

58

Step-by-step explanation:

All three angles of a triangle have to add up to 180. Given this we can do the following problem:

180-34-88 = 58

3 0
3 years ago
Alyssa is factoring the following expression p∆2-8p-9. She said the answer is (p-1) (p +9). Is she correct? If not, explain her
Lesechka [4]

Answer:

Step-by-step explanation:

p^2-8p-9

factor out the trinomial

(p-9)(p+1)

Therefore, she's incorrect. Because (p-1)(p+9)=p^2-p+9p-9=p^2+8p-9 and that's different from p^2-8p-9.

5 0
3 years ago
On a journey of 600 km, a train was delayed 1 hour and 30 min after having covered 1/4 of the way. To arrive on time at the dest
Sati [7]

Answer:

10 hours

Step-by-step explanation:

(150/x) + 1.5 + (450/(x+15)) = 600/x

Multiply through by x(x + 15):

150(x + 15) + 1.5x(x + 15) + 450x = 600(x + 15)

150x + 2250 + 1.5x^2 + 22.5x + 450x = 600x + 9000

150x + 2250 + 1.5x^2 + 22.5x + 450x - 600x - 9000 = 0

1.5x^2 + 22.5x - 6750 = 0

x = (-22.5 +/- sqrt(22.5^2 - 4(1.5)(-6750))) / (2*1.5)

x = (-22.5 +/- sqrt(506.25 + 40500)) / 3

x = (-22.5 +/- sqrt(41006.25)) / 3

x = (-22.5 +/- 202.5) / 3

x = 180/3 or -225/3

x = 60 or -75

But a negative number doesn't make sense, so therefore x = 60, so the journey took 600/60 = 10  hours.

6 0
3 years ago
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