Answer:
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Answer:
<u>There are 10 multiple-choice questions and 15 short-answer questions in the test</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Test worth 80 points
Multiple-choice questions are worth 2 points
Short-answer questions are worth 4 points
Multiple-choice questions + Short-answer questions = 25
2. How many multiple-choice questions are there?
Let's solve this problem, this way:
m = Multiple-choice questions
s = Short-answer questions
Our equations system is:
m + s = 25
2m + 4s = 80
Solving for m in the 1st equation:
m + s = 25
m = 25 - s
Substituting m in the 2nd equation and solving for s:
2m + 4s = 80
2 * ( 25 - s) + 4s = 80
50 - 2s + 4s = 80
2s = 80 - 50
2s = 30
<u>s = 30/2 = 15</u>
Substituting s in the 1st equation and solving for m:
m = 25 - 15
<u>m = 10 </u>
<u>There are 10 multiple-choice questions and 15 short-answer questions in the test</u>
Answer:
Step-by-step explanation:
![7- \sqrt[3]{2-x} =12](https://tex.z-dn.net/?f=7-%20%5Csqrt%5B3%5D%7B2-x%7D%20%3D12)
we have to just keep in mind to do the same operation to both sides of the equal sign
; subtract 7 from both sides
; multiply both sides by -1
; raise both sides to the power 3
2-x = (-5)³
2-x = -125 ; subtract 2 from both sides
-x = -125-2
-x =-127; multiply both sides by -1
x= 127
Answer: two over three
Step-by-step explanation:

line intercepts y at (0,-2)
Therefore, 
Substitute x = 3 in y =ax-2

To find the x-intercept, y = 0

The slope is 2/3
y-intercept is -2
So two over three
Answer:
2
Step-by-step explanation: