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3 years ago

Tell whether each number is rational or irrational: Pi, -1/2, the square root of 2/3, and 0.57575757

Mathematics

1 answer:

DedPeter [7]3 years ago

5 0

Pi: Irrational
√(2/3): Irrational

0.57575757 is rational
and -1/2 is rational.
I hope this helps.

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What are the zeros of the polynomial function

solniwko [45]

Option B

The zeros of the polynomial function are x = 0 , x = 6, x = -1

Solution:

Given function is:

$f(x) = x^3 -5x^2 - 6x$

To find: zeros of the polynomial function

To find the zeros of polynomial function, set the function equal to zero and then solve for x.

$x^3 -5x^2 - 6x = 0$

Taking "x" as common term, we get

$x(x^2 - 5x - 6) = 0$

Equating to zero,

$x = 0 \text{ and } x^2 - 5x - 6 = 0$

So one of the zeros of polynomial is x = 0

Let us solve $x^2 - 5x - 6 = 0$ to find other zeros

Let us solve using quadratic formula,

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text{ for } x^2 - 5x - 6 = 0 \text{ we have } a = 1 ; b = -5 ; c = -6$

$\text{ The discriminant } b^2 - 4ac > 0 , \text{ so, there are two real roots }$

Substituting the values of a, b, c in above formula,

$x=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2(1)}\\\\x=\frac{5 \pm \sqrt{25+24}}{2}=\frac{5 \pm \sqrt{49}}{2}\\\\x=\frac{5 \pm 7}{2}\\\\x=\frac{5+7}{2} \text{ or } x=\frac{5-7}{2}\\\\x=\frac{12}{2} \text{ or } x=\frac{-2}{2}\\\\x=6 \text{ or } x=-1$

Thus the zeros of the polynomial function are x = 0 , x = 6, x = -1

3 0

3 years ago

Help and I will give brainliest Don’t answer part a and part b

BaLLatris [955]

What do u need help on

3 0

2 years ago

Read 2 more answers

Six friends create a website. The website earns money by selling banner ads. The site has 5 banner ads. It costs $120 a month to

Naddik [55]

Answer:

A.) y = 0.005x - 120

B.) You need more than 24,000 clicks to make a profit, or at least 24001 clicks.

Step-by-step explanation:

A.)

1. We know that the amount of money for each click is $0.005, which means that that's the amount of money you need to multiply by the number of clicks (or x) to find the amount of money you're making from the ads.

2. We also know that the cost to keep the website up is 120$, which is a loss of 120 dollars. To find the total profit in a month, you have to subtract whatever the profit from ads was by 120.

3. Since the amount from ads is 0.005 * x minus the cost of the website to be up, 120, the equation for the profit (or y) would be y = 0.005x-120

B.)

Next up is graphing it:

Geometry Way:

1. You can use any online graphing program, or hand graph it (I'll link one that I use in the comments--- Desmos).

2. Graph the equation.

3. Find the value in which that the profit would be 0. Anything more than that would be all of the values in which y is not 0 or negative.

Algebra Way:

1. Plug in 0 for y, or the profit.

2. Simplify. You'll find that when the profit is 0, the amount of clicks would be 24,000. Anything more than that would be positive.

Hope this helped!

7 0

2 years ago

Answer and explainaction please. End of course test is next week and I want to make sure I can work out answers on my own! :)

Finger [1]

Answer: This is what I get.

Step-by-step explanation:

3 0

2 years ago

Which is the most resonable measure for the length of a bicycle

Zigmanuir [339]

Feet
Inches- maybe
Feet- yes
Yards- to long

3 0

3 years ago