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3 years ago

(!!!20 Points!!!) 7x6+5x2+x-9 7x6-4x+1/x Please view image below

Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

1) The given expression 7x^4 + 5x^2 + x - 9 is a polynomial.

2) The given expression 7x^6 - 4x^3 + 1/x is a trinomial.

<u>Step-by-step explanation</u>:

1) 7x^4 + 5x^2 + x - 9

The number of terms in the above expression is 4.
An algebraic expression with more than 3 terms is known as polynomial.
<u>The degree is the power of the x term in a expression</u>
first term = 7x^4 has a degree of 4.
second term = 5x^2 has a degree of 2.
third term = x has a degree of 1.
fourth term = 9 is a constant term with no degree.

2) 7x^6 - 4x - 1/x

The number of terms in the above expression is 3.
An algebraic expression with 3 terms is known as trinomial.
first term = 7x^6 has a degree of 6.
second term = 4x has a degree of 1.
third term = 1/x has a degree of -1.

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A sports news station wanted to know whether people who live in the North or the South are bigger sports fans. For its study, 17

Free_Kalibri [48]

Using the z-distribution, it is found that the 95% confidence interval for the difference is (-1.3, -0.7).

<h3>What are the mean and the standard error for each sample?</h3>

Considering the data given:

$\mu_S = 3.8, n = 175, s_S = \frac{1.7}{\sqrt{175}} = 0.1285$

$\mu_N = 4.8, n = 152, s_N = \frac{1.2}{\sqrt{152}} = 0.0973$

<h3>What is the mean and the standard error for the distribution of differences?</h3>

The mean is the subtraction of the means, hence:

$\overline{x} = \mu_S - \mu_N = 3.8 - 4.8 = -1$

The standard error is the square root of the sum of the variances of each sample, hence:

$s = \sqrt{s_S^2 + s_N^2} = \sqrt{0.1285^2 + 0.0973^2} = 0.1612$

<h3>What is the confidence interval?</h3>

It is given by:

$\overline{x} \pm zs$

We have a 95% confidence interval, hence the critical value is of z = 1.96.

Then, the bounds of the interval are given as follows:

$\overline{x} - zs = -1 - 1.96(0.1612) = -1.3$

$\overline{x} + zs = -1 + 1.96(0.1612) = -0.7$

More can be learned about the z-distribution at brainly.com/question/25890103

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1 year ago

PLEASE HELP ASAP!!!<br> best correct answer I will mark brainliest!

notka56 [123]

Answer:

The one on the right

Step-by-step explanation:

The height on the right one matches the height on the net, unlike the left one

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2 years ago

Please Help! <br> I'm Desperate.

KATRIN_1 [288]

My teacher always told me if you dont know the answer choose c.

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2 years ago

Identified the pattern for the following sequence find the next three terms in the sequence -1 3 -9 27

Nastasia [14]

Each term after the first is obtained by multiplying the previous one by -3 so the answer is -81 , 243

7 0

3 years ago

I have corner points of:

WARRIOR [948]

The points you found are the vertices of the feasible region. I agree with the first three points you got. However, the last point should be (25/11, 35/11). This point is at the of the intersection of the two lines 8x-y = 15 and 3x+y = 10

So the four vertex points are:
(1,9)
(1,7)
(3,9)
(25/11, 35/11)

Plug each of those points, one at a time, into the objective function z = 7x+2y. The goal is to find the largest value of z

------------------

Plug in (x,y) = (1,9)
z = 7x+2y
z = 7(1)+2(9)
z = 7+18
z = 25
We'll use this value later.
So let's call it A. Let A = 25

Plug in (x,y) = (1,7)
z = 7x+2y
z = 7(1)+2(7)
z = 7+14
z = 21
Call this value B = 21 so we can refer to it later

Plug in (x,y) = (3,9)
z = 7x+2y
z = 7(3)+2(9)
z = 21+18
z = 39
Let C = 39 so we can use it later

Finally, plug in (x,y) = (25/11, 35/11)
z = 7x+2y
z = 7(25/11)+2(35/11)
z = 175/11 + 70/11
z = 245/11
z = 22.2727 which is approximate
Let D = 22.2727

------------------

In summary, we found
A = 25
B = 21
C = 39
D = 22.2727

The value C = 39 is the largest of the four results. This value corresponded to (x,y) = (3,9)

Therefore the max value of z is z = 39 and it happens when (x,y) = (3,9)

------------------

Final Answer: 39

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3 years ago