Work:
4m-6m=-2m
-5-(-)7=-5+7=2
Answer: -2m+2+2n
Hope this helps
They are both equal to 11/20. 55/100 can both be divided by 5. 55/5 is 11 100/5 is 20 so 11/20. 66/6 is 11 and 120/6 is 20, so 11/20.
The first coefficient is 2 and the last term is 6. They multiply to 2*6 = 12.
Now we must find two factors of 12 that add to 7 (the middle coefficient).
Through trial and error, you should find that:
3*4 = 12
3+4 = 7
So 3 and 4 are the numbers we're after. We'll split the 7m into 3m+4m and use the factor by grouping method as shown in the steps below.
2m^2 + 7m + 6
2m^2 + 3m + 4m + 6
(2m^2 + 3m) + (4m + 6)
m(2m + 3) + 2(2m + 3)
(m + 2)(2m + 3)
(2m + 3)(m + 2)
The order of the factors doesn't matter since something like 2*3 is the same as 3*2.
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Verifying the answer:
You can use technology like you did to check the answer, but here's one way to do it without a calculator.
(2m + 3)(m + 2)
n(m + 2) ...... let n = 2m+3
mn + 2n .... distribute
m( n ) + 2( n )
m(2m+3) + 2(2m+3) .... plug in n = 2m+3
m*2m + m*3 + 2*2m + 2*3 .... distribute
2m^2 + 3m + 4m + 6
2m^2 + 7m + 6
We arrive back at the original trinomial, so we have confirmed the answer.
Answer:9 males
Step-by-step explanation: 27\3=9 9*2=18 females males=9
Answer:
+10 and - 9
Step-by-step explanation:
If we consider the multiples of - 90
± 1, ± 2, ± 3, ± 5, ± 6, ± 9, ± 10, ± 15, ± 30, ± 90
The combination of multiples which multiply to - 90 and add to + 1 are
+ 10 and - 9
since 10 × - 9 = - 90 and 10 - 9 = 1
