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3 years ago

Help! Algebra!!!

1 answer:

4 0

Thet contradict each other, that's why both of them are incorrect.
<span>Suppose that a polynomial has four roots: s, t, u, and v. If the polynomial were evaluated at any of these values, it would have to be zero. Therefore, the polynomial can be written in this form.

p(x)(x - s)(x - t)(x - u)(x - v), where p(x) is some non-zero polynomial

This polynomial has a degree of at least 4. It therefore cannot be cubic.

Now prove Kelsey correct. We have already proved that there can be no more than three roots. To prove that a cubic polynomial with three roots is possible, all we have to do is offer a single example of that. This one will do.

(x - 1)(x - 2)(x - 3)

This is a cubic polynomial with three roots, and four or more roots are not possible for a cubic polynomial. Kelsey is correct.

Incidentally, if this is a roller coaster we are discussing, then a cubic polynomial is not such a good idea, either for a vertical curve or a horizontal curve. I hope this helps</span><span>
</span>

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Jake is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $13 as ser

Murljashka [212]

Answer:

A) A = 30m + 13 B = 28m + 15

B) Company B would charge $6 less for 4 mattresses

C) Company B would charge $12 less for 7 mattresses

Step-by-step explanation:

A. : Write equations to represent Company A's and Company B's total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations.

Let's define the variable m to represent the number of mattresses to be cleaned.

For company A, we have a cost per mattress of $30 plus a fixed service fee of $13. So the equation will be:

A = 30m + 13

While company B charges $28 per mattress, with a fixed service fee of $15:

B = 28m + 15

That way, we have a good representation of both price structures, using a meaningful variable.

B. Which company would charge less for cleaning 4 mattresses? Justify your answer.

We just have to calculate the cost of cleaning 4 mattresses at both companies:

A = 30m + 13 = 30 (4) + 13 = 120 + 13 = $133

B = 28m + 15 = 28 (4) + 15 = 112 + 15 = $127

Company B would charge $6 less for 4 mattresses

C. How much money is saved by using the services of Company B instead of Company A to clean 7 mattresses?

Again, all we have to do is calculate the cost to clean 7 mattresses at both companies:

A = 30m + 13 = 30 (7) + 13 = 210 + 13 = $223

B = 28m + 15 = 28 (7) + 15 = 196 + 15 = $211

Company B would charge $12 less for 7 mattresses

5 0

3 years ago

3 (<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B-1%7D%7B5%7D%20" id="TexFormula1" title=" \frac{-1}{5} " alt=" \frac{-1}{5} "

tatuchka [14]

Although the equation didn't come out right, yes when two number are covered in parenthesis it means to multiply them
E.g. (2)(2) or (1/2)(1/2)

6 0

3 years ago

What is the end behavior of the function f of x equals negative 4 times the cube root of x?

vampirchik [111]

The function $f(x) = 4\sqrt[3]{x}$ is a cube root function

The function end behavior is:

$\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty$

<h3>How to determine the end behavior?</h3>

The equation of the function is given as:

$f(x) = 4\sqrt[3]{x}$

To determine the end behavior, we plot the graph of the function f(x).

From the attached graph of the function, we can see that:

As x approaches infinity, the function f(x) approaches infinity, and vice versa

Hence, the function end behavior is:

$\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty$

Read more about function end behavior at:

brainly.com/question/23968442

8 0

2 years ago

Given the function, F(x), where f(x) = 3 x-6. Find F(2)

Naya [18.7K]

Answer:

Step-by-step explanation:

3(2)-6=?

6-6=0

where u find x put the number

example :

f(2) = x

f(2)=2

4 0

3 years ago

Find the value of k in the following figure.

yuradex [85]

$3(k+3)=5(5+6)$
$3k+9=55$
$3k=46$
$k=\dfrac{46}3\approx15.3$

6 0

3 years ago

Read 2 more answers