Write the product using exponents <br> (-6)•(-6)

A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $120 for 100 minutes of us

Alecsey [184]

<h2>Answer</h2>

Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50

<h2>Explanation</h2>

A graph of y against x means that x is the independent variable and y is the dependent variable. Notice that the charge (y) depends on the number of minutes (x). Therefore, the points that we are going to join to make our graph will have coordinates (x, y)

We know that the company charges $120 for 100 minutes, so x=100 and y=120. Therefore, our first point will be (100, 120)

We also know that the company charges $95 for 50 minutes, so x=95 and y=50. Therefore, our second point will be (50, 95)

Now, to find the slope between our tow points, we are going to use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where

$(x_{1},y_{1})$ are the coordinates of the first point

$(x_{2},y_{2})$ are the coordinates of the second point

We know from our points that $x_{1}=100$ , $y_{1}=120$ , $x_{2}=50$ , and $y_{2}=95$ . So let's replace those values in our formula to find $m$

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{95-120}{50-100}$

$m=\frac{-25}{-50}$

$m=\frac{1}{2}$

$m=0.50$

Now that we have our slope, we can use the point-slope formula to complete the equation of the line joining our two points

$y-y_{1}=m(x-x_{1})$

$y-120=0.50(x-100)$

$y-120=0.50x-50$

$y=0.50x+70$

7 0

3 years ago

Read 2 more answers

Simplify. Express the quotient as a radical expression.

frez [133]

The correct answer is the first option - ninth root of x squared.
To see how I got that answer, take a look at the attachment below.

3 0

3 years ago

The circle graph shows the location of Oklahoma’s 77 counties in the state.

steposvetlana [31]

C) because if you add up percents, it adds to 50%, or 0.5 or 1/2:
<span>Northeast 23%, Southwest 21%, Tulsa Metro 6%
</span>23 + 21 + 6 = 50

3 0

4 years ago

Read 2 more answers

All the while the dog sat in the snow, its wolf-brush of a tail curled around warmly over its forefeet, its wolf-ears are forwar

slavikrds [6]

Answer:

The man is envious because he's jealous of the dog's fur. For he has natural covering and is kept warm because of it. The man has to wear several layers of clothing to be warm while the dog is warm enough with his fur/natural covering.

8 0

3 years ago

Help !

aivan3 [116]

Answer:

a. p(orange) = 5/14

b. p(green) = 3/14

c. p(red) = 1/7

d. p(brown) = 2/7

e. p(brown or red) = 3/7

Step-by-step explanation:

1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are green and 4 pencils are brown.

p(color) = (number of pencils of that color)/(total number of pencils)

p(color) = (number of pencils of that color)/14

a. If a pencil is picked at random, what is the probability that the pencil

will be orange?

p(orange) = 5/14

b. If a pencil is picked at random, what is the probability that the pencil

will be green?

p(green) = 3/14

c. If a pencil is picked at random, what is the probability that the pencil will be red?

p(red) = 2/14 = 1/7

d. If a pencil is picked at random, what is the probability that the pencil

will be brown?

p(brown) = 4/14 = 2/7

e. If a pencil is picked at random, what is the probability that the pencil

will be brown or red?

brown: 4

red: 2

brown or red: 4 + 2

p(brown or red) = 6/14 = 3/7

3 0

3 years ago

Write the product using exponents (-6)•(-6)