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elena55 [62]
2 years ago
5

Help please! (Will give brainliest if it's correct) 28 points

Mathematics
1 answer:
Kobotan [32]2 years ago
3 0

Don't worry, I'll help you!

1. What is a function?

"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2<span>."

</span>2. What is the difference between a linear and non-linear function?

"The equation of a linear function has no exponents higher than 1, and the graph of a linear function is a straight line. The equation of a nonlinear function has at least one exponent higher than 1, and the graph of a nonlinear function<span> is a curved line."
</span>
<span>3. Constant Interval, and how does it appear on a graph

</span>Definition: 
"Determine the intervals on which a function is increasing, decreasing or constant<span> by looking at a graph. Determine if a function is even, odd, or neither by looking at a graph. Determine if a function is even, odd, or neither given an equation."

How does it appear on a graph?
</span>
"Functions can either be constant, increasing as x increases, or decreasing as x<span> increases."
</span>
<span>4. Identifying the rate of change
</span>
Yes, you can:

"Consider the line y = 2x + 1, shown at the right. Notice that this slope will be the same if the points (1,3) and (2, 5) are used for the calculations. For straight lines, therate of change<span> (slope) is constant (always the same). For every one unit that is moved on the x-axis, two units are moved on the y-axis."
</span>
<span>5. Determining if it is a linear function or not
</span>
"A linear function<span> is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the graph of the line crosses the y axis. You will notice that this </span>function<span> is degree 1 meaning that the x variable has an exponent of 1."
</span>
THAT IS IT!! YAY!!! HOPE THIS HELPED ON YOUR REVIEW!!

-Jina Wang, from Middle School



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Answer:

{m}^{3}  +  {27}^{m}  + 4 {m}^{2}

Step-by-step explanation:

{m}^{3}  +  {3}^{m 3}  + 4 {m}^{2}

{m}^{3}  +  {3}^{m \times 3}  + 4 {m}^{2}

{m}^{3}  +  {3}^{3m}  + 4 {m}^{2}

{3}^{3m}  =  ({3}^{3}  {)}^{m}  =  {27}^{m}

➡️ {m}^{3}  +  {27}^{m}  + 4 {m}^{2}

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Find the y-intercept for following equation:

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\begin{gathered} y=mx+c \\ f(x)=-(x+1)^2 \\ f(x)=-x^2-2x-1 \end{gathered}

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Flura [38]

Answer:

The 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the population mean, when the population standard deviation is not provided is:

CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}

The sample selected is of size, <em>n</em> = 50.

The critical value of <em>t</em> for 95% confidence level and (<em>n</em> - 1) = 49 degrees of freedom is:

t_{\alpha/2, (n-1)}=t_{0.05/2, 49}\approx t_{0.025, 60}=2.000

*Use a <em>t</em>-table.

Compute the sample mean and sample standard deviation as follows:

\bar x=\frac{1}{n}\sum X=\frac{1}{50}\times [1+5+6+...+10]=6.76\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{49}\times 31.12}=2.552

Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:

CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}

     =6.76\pm 2.000\times \frac{2.552}{\sqrt{50}}\\\\=6.76\pm 0.722\\\\=(6.038, 7.482)\\\\\approx (6.0, 7.5)

Thus, the 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

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