30 points!!! Which ordered pairs are solutions to the inequality 2x+y>−4? Select each correct answer.

1 answer:

4 0

Easey, sub them

(x,y)
see if true

(0,1), 2(0)+1>-4, 1>-4, true
(4,-12), 2(4)+-12>-4, 8-12>-4, -4>-4, false
(5,-12), 2(5)+-12>-4, 10-12<-4, -2>-4, true
(-1,-1), 2(-1)+-1>-4, -2-1>-4, -3>-4, true
(-3,0), 2(-3)+0>-4, -6>-4, false

answers are

(0,1)
(5,-12)
(-1,-1)

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1. 2x + 4 = 3(x – 2) + 1

sweet [91]

Please, do not post more than 1 or 2 questions at a time. Out of courtesy I will address one of your six questions here:

2x + 4 = 3(x – 2) + 1

You are to solve this for x.

1) perform the multiplication: 2x + 4 = 3x - 6 + 1
2) combine like terms: 4+6-1 = x
3) solve for x: x = 11
4) check: Is 2(11) + 4 = 3(11-2) + 1 true?
Is 22+4 = 33-6 true? NO. Try again, looking for the mistake:

2x + 4 = 3(x – 2) + 1 => 2x + 4 = 3x - 6 + 1
4 = x - 5
9 = x

Check: Is 2(9) + 4 = 3(9-2) + 1 true? Is 18+4 = 22 true? YES.
The solution to #1 is x = 9 (answer).

Submit your other questions separately, please.

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4 years ago

A triangle has angles measuring 43° and 62°. What is the measure of the triangle's third angle?

jarptica [38.1K]

Answer:

75 degrees

Step-by-step explanation:

I know the measure of the triangle's third angle is 75 degrees because all the angles of a triangle add up to 180 degrees. So, I did 180-62-43 and got 75. So, in order for this triangle to be true, the third triangle would have to be 75 degrees.

To check: 43 degrees+ 62 degrees+ 75 degrees = 180 degrees.

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3 years ago

Read 2 more answers

Please give answer of 6 number

Irina18 [472]

Answer:

$7,500$

Step-by-step explanation:

Let's solve this problem step-by-step. The library had 1,500 books in 2011. The ratio of books in 2011 and in 2012 is 1:2. Therefore, let the number of books in 2012 be $x$ .