Top right it is constant 15 dollars / 3 moths
You said that (xy) = 16, and (x+y) = 4 .
From the second equation you can get [ x = 4 - y ],
then substitude that for 'x' in the first equation, and
finally, rearrange the first equation to read
<u>x² - 4x + 16 = 0</u>
Don't even try to factor that quadratic equation. Go straight
to the quadratic formula, and the two solutions you find are ...
<em>x = 2 + i 2√3</em>
and
<em>x = 2 - i 2√3</em> .
Those are the two number that do what you want.
There are no <u>real</u> numbers that can do it.
You would divide 1/16 by 3/8
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>
