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
A(c - b) = d
ac - ab = d
ac = d + ab
c = (d + ab)/a
Answer:
D. Yes,because every x-value corresponds to exactly one y-value.
Step-by-step explanation:
The given ordered pairs are;
{
}
We do not have the same x-value corresponding to more than one y-value.
We can see from the ordered pairs that every x-value corresponds to exactly one y-value.
Therefore the graph of this relation will pass the vertical line test.
There is nothing there what am I supposed to
100miles in 2hrs
650miles in x hrs
If you think of it 650/100 = 6.5
So the distance is 6.5 times
So the time is 6.5 times 2hrs
=13 hrs total
