1.1 Split 10xy - 5y + 18x - 9
into two 2-term polynomials
- 5y + 10xy and + 18x - 9
This partition did not result in a factorization. We'll try another one:
10xy - 5y and + 18x - 9
This partition looks good
1.2 Pull out from each binomial separately
10xy - 5y = 5y • (2x - 1)
+ 18x - 9 = + 9 • (2x - 1)
1.3 Add up to arrive at the desired factorization
(5y + 9) • (2x - 1)
Factorization found :
(5y + 9) • (2x - 1)
Answer:
7<x<17
Step-by-step explanation:
a+b>x
5+12>x
17>x
5+x>12
x>7
12+x>5
x>-7 (ignore then since it is negative and you would use the one that makes the range smaller which is the one above)
Answer:
Altogether, Stevie and Michael made £480
Step-by-step explanation:
Since Stevie gets £120 more than Michael, Stevie gets the bigger ratio which is 5 and Michael gets the ratio 3
a:b=ax+bx
Stevie share =ax
Michael share=by
5:3=5x+3x
Stevie profit=Michael profit
*Stevie gets £120 more
5x+120=3x
5x-3x=120
2x=120
x=120/2
=60
x=60
Stevie=ax
=5*60
=£300
Michael=bx
=3*60
=£180
Altogether,
They made a profit of £180+£300
=£480
I believe the correct answer is 7 out of 24(7/24).