Simplify ( 5 x 3-x+14)-(3 x 2-9 x + 4)= 5x3 - 3x2+8x+10
Answer:
Step-by-step explanation:
1. Move the 6 to the other side: x^2 +4x =6
2. Square half the coefficient of the x term: (4/2)^2 = 4
3. Add this 4, and then subtract this 4, from x^2 + 4x:
x^2 +4x + 4 - 4 =6
4. Rewrite this perfect square as the square of a binomial:
(x + 2)^2 - 4 = 6
5. Add 4 to both sides: (x + 2)^2 = 10
6. Find the sqrt of both sides: x + 2 = √
crosses x-axis at (2, 0 ) and y-axis at (0, - 4 )
To find where the graph crosses the x and y axes ( intercepts )
• let x = 0, in the equation for y- intercept
• let y = 0, in the equation for x- intercept
x = 0 : y = 0 - 4 = - 4 ⇒ (0, - 4 )
y = 0 : 2x - 4 = 0 ⇒ 2x = 4 ⇒ x = 2 ⇒ (2, 0 )
M= 20 because the rate of change is -3.
