Step-1 : Multiply the coefficient of the first term by the constant 6 • -10 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -11 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 4
6n2 - 15n + 4n - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
3n • (2n-5)
Add up the last 2 terms, pulling out common factors :
2 • (2n-5)
Step-5 : Add up the four terms of step 4 :
(3n+2) • (2n-5)
Which is the desired factorization
Final result :
(2n - 5) • (3n + 2)
Percent of the original cost
usually cost =$870
slow period =$261
=261/870x100
=30%
Answer:
6 feet
Step-by-step explanation:
Perimeter = 2L + 2W
Since you know the perimeter is 64 feet, you would plug that into the perimeter side.
64 = 2L + 2W
You also know the width is 2 feet longer than 4 times the length.
64 = 2L + 2(2 + 4L) ----> Multiply 2 * 2 and 2 * 4l
64 = 2L + 4 + 8L ----> Subtract 4 from each side
-4 -4
60 = 2L + 8l ----> add these two
60 = 10L
/10 /10 -----> divide by 10 on each side
6 = L
Now that we know the length, find the width.
64 = 2(6) + 2(2 + 4(6)) -----> multiply 2 * 6 and 4 * 6
64 = 12 + 2(2 + 24) -------> add 24 and 2
64 = 12 + 2(26) -------> multiply 2 and 26
Before you go any further, you now know that the width is 26 feet. Continue solving.
64 = 12 + 52
64 = 64
Everything checks out.
The length is 6 feet and the width is 26 feet.
<h3>
Answer: Choice C</h3>
The -2/5 means we go to the left 2/5 of a full unit. So we take 2 small little steps (going over 2 little tickmarks), then we move 4 small steps to the right due to the +4/5 portion. Ultimately, we end up at 2/5 as the answer
So -2/5 + 4/5 = 2/5
This can be thought of as -2+4 = 2, then you just stick 5 in the denominator for each term.
