Answer: C) x = 3, (x = 2 is an extraneous solution)
<u>Step-by-step explanation:</u>
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= 
- = 
Restrictions: <em>Denominator cannot equal zero</em> (x - 1 ≠ 0) and (x - 2 ≠ 0), so x ≠ 1 and x ≠ 2
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= 
x(x - 2) - 1(x - 1) = 2x - 5
x² - 2x - x + 1 = 2x - 5
x² - 3x + 1 = 2x - 5
<u> -2x + 5</u> <u>-2x + 5 </u>
x² - 5x + 6 = 0
(x - 2)(x - 3) = 0
x - 2 = 0 x - 3 = 0
x = 2 x = 3
NOTE: x = 2 is an extraneous solution because it is one of the restricted values.
Answer:
y = -6
Step-by-step explanation:
To simplify this equation as much as possible, we have to get the variable y by itself.
To do this, we would do the inverse operation of subtraction and add 7 to the left and right side of the equation.
-7 + 7 + 5y = -37 + 7
The 7s cancel out on the left side because -7+7 = 0 and so we are left with,
5y = -30
Then we would do the inverse operation of multiplication and divide by 5 on the left and right side of the equation.
5y/5 = -30/5
y = -6
Answer:
x = 9
Step-by-step explanation:
99 / 3 = 33
so divide the other side, 27, by 3
27 / 3 = 9
so x = 9
9 : 33
correct
Answer:
C. Fail to Reject H0.
Step-by-step explanation:
If the P-value is 0.06, that means that the result enters in the acceptance region. It is a value that is expected to happen if both proportions are equal (null hypothesis) at this significance level.
The conclusion when the P-value is bigger than the significance level is that the effect is not significant and it failed to reject the null hypothesis.
