10x^4+ 7x^3-12x^2
= x^2(10x^2+ 7x- 12)
= x^2(10x^2 -8x+ 15x -12)
= x^2[ 2x(5x-4)+ 3(5x-4)]
= x^2(5x-4)(2x+3)
x^2(5x-4)(2x+3)= 0
⇒ x= 0
or 5x-4= 0
or 2x+3= 0
⇒ x= 0
or x= 4/5
or x= -3/2
The final answer is x= 0 or x= 4/5 or x= -3/2~
Answer:
Graph (1)
Step-by-step explanation:
Given equation of the graph is,
y = 20(1.25)ˣ
Table for the input - output values of the function,
x -2 -1 0
y 12.8 16 20
These points lie on curve (1).
Therefore, curve (1) will be the graph represented by the equation.
Answer:
|x – 25| ≤ 6
Step-by-step explanation:
Given:
Car run per gallon = 25 miles per gallon
Fluctuate value = 6 miles per gallon
Find:
Equation
Computation:
x ≤ 25 ± 6
|x – 25| ≤ 6
t/5 = 2.9
For the first step, I would multiply both sides by 5, to get rid of the fraction.
That will leave
t = 14.5
So with what you have on your screen, I would drag “x” and “5” to both sides of the equation.