Answer:
C. x² − 8x + 24 − 72/(x+3)
Step-by-step explanation:
See attached picture for long division method.
Logically, we know x³ − 5x² factors to x² (x − 5). Since x + 3 isn't a factor, we know the remainder isn't 0. So we can narrow the options down to A or C.
One way to find the remainder is through long division. Or, since this is multiple choice, we multiply the options by x + 3 and see which one results in an answer of x³ − 5x².
(x + 3) (x² − 8x + 24 − 72/(x+3))
(x + 3) (x² − 8x + 24) − 72
x³ − 8x² + 24x + 3x² − 24x + 72 − 72
x³ − 5x²
Answer:
b) √29
Step-by-step explanation:
Given: The origin is (0, 0), the point P is (2, -5).
We need to use the distance formula.
Distance formula =
Here x2 = 2, x 1 = 0, y1 =0, y2 = -5
Distance =
=
= √(4 + 25)
= √29
The answer is b) √29
Hope you will understand the concept.
Thank you.
Answer: The required interval is (0.679, 0.821).
Step-by-step explanation:
Since we have given that
So, the proportions would be
So, At 90% confidence interval, the z score value would be
z = 1.65
and the hypothesis are :
So, the 90% confidence interval would be
Hence, the required interval is (0.679, 0.821).