Answer:
x=-6
y=-11
Step-by-step explanation:
x-y=-5
7x+3y=-75
x=5+y plug that in to the second equation
7(5+y)+3y=-75
35+7y+3y=-75
10y=-75-35
10y=-110
y=-11
plug y into first equation
x+11=5
x=5-11
x=-6
A quadratic with roots at 8 and 5 is f(x) = x^2 + 10x - 24
In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.
x = -12 ----> add 8 from both sides
x + 12 = 0
We can do the same for the other zero.
x = 2 ----> subtract from both sides
x - 2 = 0
Now that we have both of these, we can multiply these two things together. This will give us the function we need.
f(x) = (x + 12)(x - 2)
f(x) = x^2 + 12x - 2x - 24
f(x) = x^2 + 10x - 24
Answer:
-6 ?
Step-by-step explanation:
90+50=140
180-140=40
x=-6
70+5x=320
5x=250
x=50
The mechanic charged $50 per hour.
Answer B shows the correct information. If you look at the totals of the tables, B shows that 30 aren't in a band, 20 are in a band, and 25 play an instrument.