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3 years ago

Which of the following is a eight degree polynomial function. Select all that apply.

Mathematics

2 answers:

Andrews [41]3 years ago

5 0

Answer:

A, C

Step-by-step explanation:

A. When you square the binomial, the highest power will be 8, so choice A is true.

B. A rational expression is not a polynomial.

C. The highest exponent is 8, so this is an answer also.

D. This is a 7th degree polynomial, so it is not 8th degree.

Answer: A, C

fiasKO [112]3 years ago

3 0

Answer:

f(x) = (x^4 + x)^2 and f(x) = 10x - x^8

Step-by-step explanation:

The degree of a polynomial is the highest power present in the function.

For $f(x) = (x^4 + x)^2$ ,

the degree of the polynomial is 8 since $(x^4)^2 = x^8$

For $\frac{1}{x^8 - 64}$ ,

the degree of the polynomial is -8.

For $f(x) = 10x - x^8$ ,

the degree of the polynomial is 8.

For $f(x) = x^7 + 8x - 1$ ,

the degree of the polynomial is 7.

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Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the fo

lakkis [162]

Answer:

c) A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

$r(E.week)=\frac{0.09265}{52} =0.00178173$

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

$r(e.a)=(1+r(e.week))^{52} -1$

$r(e.a)=(1+0.00178173)^{52} -1=0.09699$

Or 9.669% annual, which is less than 9.955%, so this one is sellected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

$r(E.month)=\frac{0.09442}{12} =0.00786833$

Or 0.786833% effective monthly, let´s turn it into a effective annual rate.

$r(e.a)=(1+r(e.month))^{12} -1$

$r(e.a)=(1+0.00786833)^{12} -1=0.09862$

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

$r(E.quarter)=\frac{0.09719}{4}=0.0242975$

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

$r(e.a)=(1+0.0242975)^{12} -1=0.10079$

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Best of Luck.

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3 years ago

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Mars2501 [29]

Answer:

45% of students got hamburgers :)

Step-by-step explanation:

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3 years ago

Represent each of these relations on {1, 2, 3, 4} with a matrix (with the elements of this set listed in increasing order). a) {

Irina-Kira [14]

Answer:

for a a) {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}

$\left[\begin{array}{cccc}0&1&1&1\\0&0&1&1\\0&0&0&1\\0&0&0&0\end{array}\right]$

for b

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$\left[\begin{array}{cccc}1&0&0&1\\0&1&0&0\\0&0&1&0\\1&0&0&0\end{array}\right]$

for c) {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}

$\left[\begin{array}{cccc}0&1&1&1\\1&0&1&1\\1&1&0&1\\1&1&1&0\end{array}\right]$

for d d) {(2, 4), (3, 1), (3, 2), (3, 4)}

$\left[\begin{array}{cccc}0&0&0&0\\0&0&0&1\\1&1&0&1\\0&0&0&0\end{array}\right]$

Step-by-step explanation:

in matrix, arrays are placed in rows , which represents the horizontal sides from left to right, while arrays in the column are placed vertically from top to bottom. Here, we placed the arrays in a 4x4 matrix

for a a) {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}

$\left[\begin{array}{cccc}0&1&1&1\\0&0&1&1\\0&0&0&1\\0&0&0&0\end{array}\right]$

for b

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$\left[\begin{array}{cccc}1&0&0&1\\0&1&0&0\\0&0&1&0\\1&0&0&0\end{array}\right]$

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$\left[\begin{array}{cccc}0&1&1&1\\1&0&1&1\\1&1&0&1\\1&1&1&0\end{array}\right]$

for d d) {(2, 4), (3, 1), (3, 2), (3, 4)}

$\left[\begin{array}{cccc}0&0&0&0\\0&0&0&1\\1&1&0&1\\0&0&0&0\end{array}\right]$

7 0

4 years ago

-5x+2y=9 y=7x I need help with in the next 10 minutes I will give brainiest!!!!!

Yanka [14]

Answer:

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Step-by-step explanation:

First, you substitute the y into the first equation

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Then put the x into the equation to find y

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4 years ago

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