All categories

3 years ago

Find the zeros of polynomial functions and solve polynomials equations. f(x)=2x^3+2x^2-4x

Mathematics

1 answer:

vladimir2022 [97]3 years ago

4 0

f(x)=2x^3+2x^2-4x

The zeros of polynomial functions

2x^3 + 2x^2 - 4x = 0

2x(x^2 + x - 2) = 0

2x(x - 1)(x + 2) = 0

2x = 0; x = 0

x - 1 = 0; x = 1

x + 2 = 0; x = -2

Answer

x = -2 , 0 , 1

You might be interested in

WHAT IS EQUIVALENT TO THE INEQUALITY y/2 -6 <8 ? PLEASE HURRY ITS DUE 10:50

Oksanka [162]

Y/2 - 6 < 8
y/2 < 14
y < 7

6 0

2 years ago

Read 2 more answers

Explain how you can write equivalent ratios.

Brut [27]

Answer:

Step-by-step explanation:

We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number

You can also write ratios 3 different ways:

____ to ____

____ : ____

___/___

4 0

3 years ago

Read 2 more answers

What is 23 + | 3-2 | ?

ss7ja [257]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the

sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let $y(t)$ be the depth of water in the barrel at time $t$ , where $y$ is measured in inches and $t$ in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

$\frac{dy}{dt}=-k\sqrt{y}$

where $k$ is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by $\frac{1}{\sqrt{y}}$

$\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k$

Multiply by $dt$

$\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt$

Take integral

$\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt$

Integrate

$2\sqrt{y}=-kt+C$

Isolate $y$

$y(t)=(\frac{C}{2} -\frac{k}{2}t)^2$

We know that the water level starts at 36, this means $y(0)=36$ . We use this information to find the value of $C$ .

$36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12$

$y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2$

At t = 1, y = 34

$34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}$

So our formula for the depth of water in the barrel is

$y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\$

To find the time, $t$ , at which all the water leaks out of the barrel, we solve the equation

$\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49$

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0

3 years ago

If berry has 30 ounces of coke and sells each ounce for 8 bucks an ounce how many ounces do you get if you spend 13 dollars on c

pentagon [3]

Answer would be $104

8 0

3 years ago