Answer:
Step-by-step explanation:
to do this, u would just sub ur answer choices into the inequalities and see what is true. Keeping in mind, that ur point has to satisfy both inequalities for it to be a solution.
2x + y < 12...subbing in (3,3) 3x - 2y > 2...subbing in (3,3)
2(3) + 3 < 12 3(3) - 2(3) > 2
6 + 3 < 12 9 - 6 > 2
9 < 12....true 3 > 2....true
(3,3) lies in the solution set <==
Answer:
Hey there!
We have the absolute value of x is greater than two.
Thus, to solve absolute value inequalities, we want to break the inequality down.
We break this down to
x>2
x<-2
Thus, we don't need to simplify this any further, and have our answer.
Hope this helps :)
Given that GI = 53, and
• GH = 3x - 11
• HI = 2x + 4
We can establish the following equality statement to solve for x:
GH + HI = GI
3x - 11 + 2x + 4 = 53
Combine like terms:
5x - 7 = 53
Add 7 to both sides:
5x - 7 + 7 = 53 + 7
5x = 60
Divide both sides by 5 to solve for x:
5x/5 = 60/5
x = 12
Substitute the value of x into the equality statement to verify if it is the correct value for x:
GH + HI = GI
3x - 11 + 2x + 4 = 53
3(12) - 11 + 2(12) + 4 = 53
36 - 11 + 24 + 4 = 53
53 = 53 (True statement. Thus, x = 12 is the correct value).
Therefore:
GH = 3x - 11
GH = 3(12) - 11
GH = 25
HI = 2x + 4
HI = 2(12) + 4
HI = 28
Please mark my answers as the Brainliest, if you find this helpful. :)
Answer: He must have atleast 98 points on the next exam in order to get an average of 92 points.
Step-by-step explanation: To calculate average, you need to add all the numbers given, and divide the sum by how many numbers there are. 87 + 89 + 94 + 98 (equals 368), and divide 368 by 4. You will get the average of 92 as its result.
