Answer:
Option A. –2 – 2√2
Step-by-step explanation:
√8 / √2 – 2
The above expression can be simplified as follow.
√8 / (√2 – 2)
Rationalise by multiplying the numerator and denominator with the conjugate of (√2 – 2) i.e (√2 + 2). This is illustrated below:
√8 / (√2 – 2) × (√2 + 2)/(√2 + 2)
√8(√2 + 2) / (√2 – 2)(√2 + 2)
√16 + 2√8 / 2 + 2√2 – 2√2 – 4
√16 + 2√8 / 2 – 4
√16 + 2√8 / –2
Recall
√16 = 4
√8 = √(4×2) = √4 × √2 = 2√2
Thus,
√16 + 2√8 / –2 = 4 + 2×2√2 / –2
= (4 + 4√2) / –2
= 4/–2 + 4√2/–2
= –2 – 2√2
Therefore,
√8 / (√2 – 2) = –2 – 2√2
Thus, option A gives the correct answer to the question.
Answer:
The descriptive statistics here is, <em>p</em> = 0.23 or 23%.
Step-by-step explanation:
Descriptive statistics are short term descriptive coefficients that condenses a given dataset, which can be a demonstration of the whole or a sample of a whole population.
The different types descriptive statistics are:
- Measures of frequency: proportion, frequency
- Measures of Central tendency: mean, median, mode
- Measure of dispersion: variance, standard deviation, range
It is provided that a survey of 961 major-appliance shoppers found that 23% bought extended warranties.
The descriptive statistics here is, <em>p</em> = 0.23 or 23%.
The proportion 0.23 describes the percentage of major-appliance shoppers who bought extended warranties.
Answer:
12
Step-by-step explanation:
First, find out how wide his shelf is in inches. 2.25*12=27. So his shelf is 27 inches wide. Then divide that by 2.25 to find the number of encyclopedias will fit.
The open circle means the inequality will be greater than or equal to (≥) or less than or equal to (≤).
A closed circle means the inequality will be greater than (>) or less than (<)
An arrow pointing right to increasingly positive values means the inequality is getting greater (> or ≥)
A narrowing pointing left to increasingly negative values means the inequality is getting lesser (< or ≤)
So for this graph with an open circle and rightward pointing arrow, “x” will be some number on the number line greater than the first point of -38:
x > -38
Answer:
0, 8, 16, 24, 32
Step-by-step explanation:
plug in the values given for x into the 8x+8 equation
Example:
8(-1)+8
8(0)+8