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3 years ago

Evaluate f(x) = –x2 + 1 for x = –3. –9 4 –4 –8

Mathematics

2 answers:

bearhunter [10]3 years ago

6 0

Answer:

D -8

Step-by-step explanation:

Klio2033 [76]3 years ago

5 0

Answer:

-63

Step-by-step explanation:

Write the problem as a mathematical expression.

$f(x)=-x^2+1$ $for$ $x =3-9$ $4-4-8$

Simplify 4−4−8 to substitute in f(x)=−x^2+1

Subtract 4 from 4

$0-8$

Subtract 8 from 0

$-8$

Replace the variable x with −

8 in the expression

$f(-8)=-(-8)^2+1$

Simplify

$f(-8)=-64+1$

$f(-8)=-63$

Answer = -63

Plz give me Brainliest if you can, hope this helps.

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Lim x->pi/3 ((2cosx-1)/(tan^2x-3))

beks73 [17]

You can check that the limit comes in an undefined form:

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\dfrac{0}{0}$

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

$\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)$

and

$\dfrac{\text{d}}{\text{d}x}\tan^2(x)-3 = 2\dfrac{\tan(x)}{\cos^2(x)}=\dfrac{2\sin(x)}{\cos^3(x)}$

So, we have

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\lim_{x\to\frac{\pi}{3}} \dfrac{-2\sin(x)}{\frac{2\sin(x)}{\cos^3(x)}}=\lim_{x\to\frac{\pi}{3}}-\cos^3(x)=-\cos^3\left(\dfrac{\pi}{3}\right)$

6 0

3 years ago

Suppose the number of free throws in a basketball game by one player are normally distributed with a standard deviation 0.97 fre

babunello [35]

Answer: 1.960

Step-by-step explanation:

The value of z we use to calculate a confidence interval with a ( $1-\alpha$ ) confidence level is a two-tailed test value i.e. represented by :-

$z_{\alpha/2}$

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With the help of standard normal distribution table for z , we have

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.960$

Hence, the value of z should be used to calculate a confidence interval with a 95% confidence level =1.960

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4 years ago

The highest elevation of basket dome 40 years ago was measured at 7,600 feet. what is the rate of change in elevation for this a

svet-max [94.6K]

Answer:

Rate of change in elevation = 0.6 in/year

Step-by-step explanation:

Note:

Current elevation (Missing) = 7,602 feet

Given:

Old elevation = 7,602 feet

Number of year = 7,600

Find:

Rate of change in elevation

Computation:

Change in elevation = 7,602 - 7,600

Change in elevation = 2 ft

Change in elevation = 2 x 12 = 24 inches

Rate of change in elevation = 24 / 40

Rate of change in elevation = 0.6 in/year

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Step-by-step explanation:

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