Answer:
x = -1 and x = 5
Step-by-step explanation:
<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>
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(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
Answer: in your case, point slope form will be y+1 = (the parellel slope or M)(x-0)
Step-by-step explanation:
basically the point slope form is suppose to be y - (y coodinate) = (M or slope)(x - (x coodinate) )
Parellel lines are the slope is the same, but the coordinates aren't
eg. what is the equation, in point slope form, of the coordinate of a line (3,4) that is parellel to the equation: y = 3/4x + 6
no. 1: slope is 3/4
no. 2 plug all info into the equation: y - (y coodinate) = (M or slope)(x - (x coodinate) )
no.3 you have your equation! y - 4 = 3 / 4 ( x - 3 )
Im thinking 8 and a half but could be wrong
Answer:
Yes she has enough money. She would have $3.42 left over.
