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KIM [24]
3 years ago
13

Let ​ f(x)=x^2+5x−8​. What is the average rate of change from x = 2 to x = 6?

Mathematics
1 answer:
Lena [83]3 years ago
7 0
F(2)=4+10-8=6; f(6)=36+30-8=58. Average rate of change is (58-6)/(6-2)=52/4=13
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27

Step-by-step explanation:

3 0
2 years ago
Please solve Questions - 18 , 20 , 21 <br>Show proper work. Thank-you!
Ymorist [56]
18. If f(x)=[xsin πx] {where [x] denotes greatest integer function}, then f(x) is:
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20. Given that g(x)=1/(x^2+x-1) and f(x)=1/(x-3), then to evaluate the discontinuous point in g(f(x)) we consider the denominator of g(x) and f(x). g(x) has no discontinuous point while f(x) is continuous at all points but x=3. Hence we shall say that g(f(x)) will also be discontinuous at x=3. Hence the answer is:
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3 0
3 years ago
5. A study found that the average time it took a person to find their dream home was 5.9 months. If a sample of
solong [7]

Answer:

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{0.8}{\sqrt{36}} = 0.26

The lower end of the interval is the sample mean subtracted by M. So it is 5.9 - 0.26 = 5.64 months

The upper end of the interval is the sample mean added to M. So it is 5.9 + 0.26 = 6.16 months.

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

4 0
3 years ago
How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2 6x – 4y = –10
Ira Lisetskai [31]

Answer:

The system has one solution

Step-by-step explanation:

we have the system of equations

y=\frac{2}{3}x+2 ----> equation A

6x-4y=-10 ----> equation B

Solve the system by substitution

substitute equation A in equation B

6x-4(\frac{2}{3}x+2)=-10

6x-\frac{8}{3}x-8=-10

Solve for x

Multiply by 3 both sides to remove the fraction

18x-8x-24=-30

Combine like terms

10x=-30+24

10x=-6

x=-\frac{6}{10}

Simplify

x=-\frac{3}{5}

<em>Find the value of y</em>

y=\frac{2}{3}(-\frac{3}{5})+2

y=-\frac{6}{15}+2

y=\frac{24}{15}

Simplify

y=\frac{8}{5}

The solution of the system is the point (-\frac{3}{5},\frac{8}{5})

therefore

The system has one solution

4 0
3 years ago
Read 2 more answers
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