First you should ask, which two numbers add up to -10 and multiply to 9.
-9 and -1 add up to -10 and multiply to 9.
So we can factor and rewrite like this ;
Let's equal it to 0 again.
The multiplication of (x-9) and (x-1) is equal to 0
So we should equal them to 0 seperately to find the solution set
and
The solution set,
Answer:-3
Step-by-step explanation:
51-54(reverse to make even)
54-51=3 and add sign,switched =-3
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The number of 11-inch softball is 70 and the number of 12-inch softball is 50.
<u>Step-by-step explanation</u>:
<u>Given that,</u>
- The cost of 11-inch softball = $2.50
- The cost of 12-inch softball = $3.50
<u>Let us assume,</u>
- The number of 11-inch softball be 'x'.
- The number of 12-inch softball be 'y'.
<u>Forming the equation to solve x and y values :</u>
- The total number of softball ordered = 120
- The total cost for 120 softballs = $350
x + y = 120 -------(1)
2.5x + 3.5y = 350 --------(2)
<u>Multiply eq(1) by 2.5 and subtract eq(2) from eq(1)</u>,
2.5x +2.5y = 300
-<u>(2.5x +3.5y = 350)</u>
<u> -1y = -50</u>
Therefore the value of y = 50.
The number of 12-inch softball is 50.
<u>Substitute y=50 in eq(1),</u>
x+50 = 120
x = 120-50
x = 70
The number of 11-inch softball is 70.