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3 years ago

What are the possible degrees for the polynomial function?

Mathematics

2 answers:

uysha [10]3 years ago

8 0

Answer: Even degrees of 6 or greater

Step-by-step explanation:

Degree of a polynomial is the highest power of its term (monomial) having non-zero coefficients.

Also, the degree is even or odd shows the end behavior of the polynomial and the value of the degree shows the maximum number of roots.(x-intercepts)

When we see the given diagram, we found that the function has at least 6 roots,

Thus, it has degree of 6 or more than 6.

Now, the end behavior of the given graph is,

$f(x)\rightarrow -\infty$ as $x\rightarrow \infty$

$f(x)\rightarrow -\infty$ as $x\rightarrow -\infty$

Which is the end behavior of an even function,

⇒ Given polynomial has even degree.

⇒ Second option is correct.

allsm [11]3 years ago

6 0

Even degrees of six or greater

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(Grade7geomtery) Can somebody plz help answer these questions correctly (only if u know how to do this) thx sm! :3

ArbitrLikvidat [17]

Answer:

<1 = 47

<2 = 65

<3 =68

<4 = 68

Step-by-step explanation:

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3 years ago

The data set shows the lengths, in minutes, of different musical performances.

victus00 [196]

The interquartile range for these numbers is 22.5

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3 years ago

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A study was conducted to estimate the difference in the mean salaries of elementary school teachers from two neighboring states.

umka21 [38]

Answer:

$(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70$

$(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698$

The confidence interval would be $-3301.70 \leq \mu \leq 501.698$ and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.

Step-by-step explanation:

We have the following info given by the problem

$\bar X_1 = 28900$ the sample mean for the salaries of teachers in Indiana

$s_1 = 2300$ the sample deviation for the salary of teachers in Indiana

$n_1 =10$ the sample size from Indiana

$\bar X_2 = 30300$ the sample mean for the salaries of teachers in Michigan

$s_2 = 2100$ the sample deviation for the salary of teachers in Michigan

$n_2 =14$ the sample size from Michigan

We want to find a confidence interval for the difference in the two means and the formula for this case is given by;

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}$

The degrees of freedom for this case are:

$df = n_1 +n_2 -2= 10+14-2 =22$

The confidence is 95%so then the significance is $\alpha=0.05$ and the $\alpha/2 =0.025$ , we need to find a critical value in the t distribution with 22 degrees of freedom who accumulates 0.025 of the area on each tail and we got:

$t_{\alpha/2}= 2.07$

And now replacing in the formula for the confidence interval we got:

$(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70$

$(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698$

6 0

3 years ago

Write an equation for the line (in slope-intercept form) that passes through the given point with the slope m. (0, -7); m = -7

Alina [70]

Answer:

y= -7x -7

Step-by-step explanation:

All line equations can be represented in the form y = mx + c where a is the gradient or slope and b is the y intercept. (letters used for m and c may vary)

You have been given the slope, = -7 which you can put into y=mx+c

y = -7x + c

The function of a line ^^ means that for any values of x, you multiply it by -7 and add -7. The given coordinates means that when x =0, y = -7. So you can plug these into y = -7x + c , -7 = -7(0) + c . Therefore c = -7

Alternatively, since the value for c is the y intercept, the coordinates immediately give you the answer c. x = 0 which means taht the line intercepts the y axis when y = -7. hence the y intercept = -7

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3 years ago

A rectangular garden is 8 feet long. If you walk diagonally across the garden, you would walk 10 feet. How many feet wide is the

galina1969 [7]

By using Pythagoras theorem

width = $\sqrt{10^2 - 8^2}$ = 6 feet

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3 years ago

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