Answer:
(p−3)⋅(3p+2)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(3p2 - 7p) - 6
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 3p2-7p-6
The first term is, 3p2 its coefficient is 3 .
The middle term is, -7p its coefficient is -7 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 3 • -6 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -7 .
-18 + 1 = -17
-9 +2 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 2
3p2 - 9p + 2p - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
3p • (p-3)
Add up the last 2 terms, pulling out common factors :
2 • (p-3)
Step-5 : Add up the four terms of step 4 :
(3p+2) • (p-3)
Which is the desired factorization
Final result :
(p - 3) • (3p + 2)
First find the unit rate. Do 17.5/2.5 and you get 7. Next just multiply that by 10 and voila. It takes her 70 minutes to run the whole race.
On evaluating the solution is 32
Step-by-step explanation:
- Step 1: Use the PEMDAS principle to solve the expression.
⇒ 12 (3 + 2²)/2 - 10 = 12 (3 + 4)/2 - 10
= 12 × 7/2 - 10
= 84/2 - 10
= 42 - 10 = 32
Answer:
Length = 13
Step-by-step explanation:
P = 2L + 2W
L = 4W + 1
P = 32
32 = 2(4W +1) + 2W
32 = 8W + 2 + 2W
30 = 10W
W = 3
L = 4(3) + 1
L = 12 + 1
L = 13
