What are the steps to this equation: (X-6)2. The 2 is the exponent

An integer is chosen between 0 and 100. What is the probability that it is divisible by 7?

IgorC [24]

Assuming 0 and 100 are included in the possible choices:

There are $\left\lfloor\dfrac{101}7\right\rfloor=14$ multiples of 7 between 0 and 100, so there is a $\dfrac{14}{101}\approx0.1386$ probability of choosing a multiple of 7.

8 0

3 years ago

Painter A charges $70 to start a job and $80 per hour he/she is there. Painter B charges $100 per hour. Write an inequality that

Debora [2.8K]

Let the number of hours be x.

70 + 80x < 100x

20x > 70

x > 3.5

8 0

3 years ago

-6(p+8)=36<br><br> Algebra two step equation

Tatiana [17]

Answer:

The value of p = -14

Step-by-step explanation:

Given the equation

$-6\left(p+8\right)=36$

Divide both sides by -6

$\frac{-6\left(p+8\right)}{-6}=\frac{36}{-6}$

simplify

$p+8=-6$

Subtract 8 from both sides

$p+8-8=-6-8$

simplify

$p=-14$

Therefore,

The value of p = -14

8 0

2 years ago

William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. If the receptio

Nataly [62]

The greatest number of people that they may invite and still stay within their budget is 130 people.

The standard form of a linear equation is given by:

y = mx + b

Where y is a dependent variable, x is an independent variable, m is the slope of the line (the rate of change), b is the y intercept (that is the initial value of y).

Let y represent the budget for x number of people.

Since the reception hall charges a $80 cleanup fee plus $34 per person, hence this can be represented by the function:

y = 34x + 80

They have budgeted $4,500 for their reception. Therefore the greatest number of people can be found from:

4500 = 34x + 80

34x = 4420

x = 130 people

Therefore the greatest number of people that they may invite and still stay within their budget is 130 people.

Find out more at: brainly.com/question/24834234

5 0

2 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