4 years ago

Rewrite the equation by completing the square. f(x) = x^2 - 2x + 17 f(x) = (x + |?|)^2 + |?|

Mathematics

1 answer:

Komok [63]4 years ago

8 0

Answer:

f(X)= (x-1)²+16

Hope this helps

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If John ran a 5-kilometer marathon how long was that in meters?

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Anybody know the answer?

Marta_Voda [28]

Use the Pythagorean theorem:

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Which expression both gives the average rate of change of the function h(x)

liubo4ka [24]

Answer:

Step-by-step explanation:

The average rate of change of a function over an interval a ≤ x ≤ b is found by:

$\frac{f(b)-f(a)}{b-a}$

Here, a is 0 and b is 3, so: $\frac{f(3)-f(0)}{3-0}=\frac{f(3)-f(0)}{3}$

Just plug in 3 for the first term and 0 for the second term in the numerator:

- First term: $\frac{1}{2} (3^{3+\frac{1}{2} })+3=\frac{1}{2} (3^{3\frac{1}{2} })+3$

- Second term: $\frac{1}{2} (3^{0+\frac{1}{2} })+3=\frac{1}{2} (3^{\frac{1}{2} })+3$

So, the final answer is:

$\frac{[\frac{1}{2} (3^{3\frac{1}{2} })+3]-[\frac{1}{2} (3^{\frac{1}{2} })+3]}{3}$

Thus, the answer is D.

Hope this helps!

5 0

3 years ago

You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proporti

exis [7]

Answer:

435,307

Step-by-step explanation:

Given that :

p = 0.18

Zcritical = 99%

Error (E) = 1.5% = 1.5/100 = 0.0015

Sample size (n) can be obtained using the relation :

n = (Zcrit / E)^2 * (p * q)

q = 1 - p ; q = 1 - 0.18 = 0.82

Zcrit at 99% equals 2.576

n = (2.576 / 0.0015)^2 * (0.18 * 0.82)

n = (1717.3333)^2 * (0.1476)

n = 2949233.66328889 * 0.1476

n = 435306.888701440164

n = 435,307 samples

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3 years ago