Answer:
{-1, 5} (two real solutions).
Step-by-step explanation:
On the left side we want x^2, not x?
We need to rewrite x? = 4x - 5 in standard form, that is, as a quadratic with x terms in decreasing powers of x:
x^2 - 4x + 5 = 0
This factors easily to (x - 5)(x + 1) = 0.
We let each factor equal zero (0) separately and solve for x:
{-1, 5} (two real solutions).
Answer:
0.82%
Step-by-step explanation:
First find the z-score.
z = (x − μ) / σ
z = (72 − 60) / 5
z = 2.4
Use a chart or calculator to find the probability.
P(Z > 2.4) = 1 − P(Z < 2.4)
P(Z > 2.4) = 1 − 0.9918
P(Z > 2.4) = 0.0082
Answer:
Step-by-step explanation:
Parallel => <u><em>This means it has the same slope as this one.</em></u>
Slope = m = 1
Now,
Point = (x,y) = (-6,2)
So, x = -6, y = 2
<u><em>Putting this in slope intercept form to get b</em></u>
=> 2 = (1)(-6) + b
=> b = 2+6
=> b = 8
<u><em>Now putting m and b in the slope-intercept form to get the required equation:</em></u>
=>
=>
Two lines intersect in one point.
