|4x+3|=9+2x if we square both sides, we can eliminate the absolute values signs...
16x^2+24x+9=81+36x+4x^2 subtract the right side from both sides
12x^2-12x-72=0 now we can factor
12(x^2-x-6)=0
12(x^2+2x-3x-6)=0
12(x(x+2)-3(x+2)=0
12(x-3)(x+2)
So:
x= -2 or 3
Answer:
x-intercept (-3,0)
y-intercept (0,-9)
Step-by-step explanation:
The x-intercepts can be found by setting y to 0 and solving for x.
y=-3x-9
0=-3x-9
Add 9 on both sides:
9=-3x
Divide both sides by -3:
9/-3=x
-3=x
The x-intercept is (-3,0).
The y-intercepts can be found by setting x to 0 and solving for y.
y=-3x-9
y=-3(0)-9
y=0-9
y=-9
The y-intercept is (0,-9).
-x-y=1
-y=1+x
y=-1-x
-1-x=-2x+9
-x=-2x+10
x=10
y=-1-10
y=-11
Answer:
After 2 months
Step-by-step explanation:
Isabelle has $1520 in her bank account and she makes automatic $760 monthly payments on a home loan.
If she stops making deposits to that account, then a monthly $760 will be deducted from her account.
After 1 month the balance in her account will become $[ 1520 - 760 ] = $760 and then after 2 months the balance will become $[ 760 - 760 ] = $0
Therefore, after 2 months her account will have zero balance. (Answer)
Answer:
= 4a + 3c + 13
Step-by-step explanation:
(9+4a)+(4+3c)
= 9 + 4a + 4 + 3c
= 4a + 3c + 13
