raekwon12
26.08.2019 •
Mathematics
There are 3 new seats in each row in a school auditorium. there are 15 rows in the auditorium. each new seat costs$74. what is the cost of the new seats? explain how you found your answer
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Ответ:
15 rows
total new seats is (# seat per row) times (# of rows)=3 times 15=45 seats
each seat costs 74
multiply number of seats times cost per seat=45 times 74=$3330
the total cost is $3330
Ответ:
2 • (x + 2) • (x - 6)
Step by Step Solution:
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STEP:
Equation at the end of step 1
(2x2 - 8x) - 24
STEP:2
STEP:3
Pulling out like terms
3.1 Pull out like factors :
2x2 - 8x - 24 = 2 • (x2 - 4x - 12)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 4x - 12
The first term is, x2 its coefficient is 1 .
The middle term is, -4x its coefficient is -4 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .
-12 + 1 = -11
-6 + 2 = -4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
x2 - 6x + 2x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
2 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-6)
Which is the desired factorization
Final result :
2 • (x + 2) • (x - 6)