Answer:
f(x) = -5x-3
Step-by-step explanation:
f(x) = ax + b
f(2)=-13 & f(-3) =12
2a + b = -13
-3a+ b = 12
_________-
5a = -25
a = -5
b= -13+10= -3
so the formula of f(x) = -5x -3
Note on how to solve such equation:
This is a quadradic equation. The figure shown is a parabola. This parabola opens downward. Now, this information is not necessary important for this particular situation; however, it needs to be retained for said class or for the near future.
The equation for a quadradic function is: f(x)=x^2+2
when x=-2, y=1
1. 3x+9-9=18-9
3x=9
x=3
2. 4x-12=20
4x-12+12=20+12
4x=32
x=8
3. x+0-0
x=0
4. x/2-2+2=9+2
x/2=11
(2)(x/2)=11(2)
x=22
5. 12x-21=3
12x-21+21=3+21
12x=24
x=2
6. 3x-15=18
3x-15+15=18+15
3x=33
x=11
7. 3x-25=14
3x-25+25=14+25
x=13
8. 3x+16=22
3x+16-16=22-16
x=2
9. 2x-8=2
2x-8+8=2+8
2x=10
x=5
10. 9x-18=9
9x-18+18=9+18
9x=27
x=3
11. x+0=0
x=0
12. 9x-8=19
9x-8+8=19+8
9x=27
x=3
If you want to check my answers
use substitution method by using the x into for each equation.
You must distribute first.
8 times (3x-2)= 24x-16
2 times (12x-5.5)= 24x-11
What you have left is
(24x-16)-(24x-11)
24x-24x=0
-16- -11=-5
The answer is -5
There correct answer to that question is 22.45
