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hoa [83]
2 years ago
8

A college bookstore charges $60 for a yearly membership. The first book is free with membership and any book after that costs $7

.60 including tax. How much money, m, does a student spend after buying b books and a yearly membership.
Mathematics
1 answer:
brilliants [131]2 years ago
5 0

Answer:

The equation representing Total money spend being as a member is m = 60+7.6(b-1)

Step-by-step explanation:

Given:

Memberships charges = $60

Cost of 1 book = $7.60

Let number of books be 'b'.

We need to find Total money 'm' spend yearly on buying books after becoming member.

Now we know that 1 book is free for a member.

Total money spend 'm' will be equal to Sum Memberships charges  and Cost of 1 book multiplied by number of books bought yearly minus 1.

Framing in equation form we get;

m = 60+7.6(b-1)

Hence The equation representing Total money spend being as a member is m = 60+7.6(b-1)

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What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

y=x^{2}-8x+15

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

x^{2}-8x+15=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-8x+15=0  

so

a=1\\b=-8\\c=15

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}

x=\frac{8\pm\sqrt{4}} {2}

x=\frac{8\pm2} {2}

x=\frac{8+2} {2}=5

x=\frac{8-2} {2}=3

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0
2 years ago
Which function is shown in the graph?
muminat

Answer: The correct answer choice is B

Step-by-step explanation:

I graphed each function on the desmos calculator and answer choice B matched the graph.

6 0
3 years ago
I live on the 15th floor of an apartment building. My friend, Emily, comes to visit me every Saturday. Last year she would alway
timurjin [86]
She probably does that for exercise. So, she gets to the level that she wants, and she gets more exercise so she gets there faster.
5 0
3 years ago
Read 2 more answers
A.What is the slope of the graph?<br><br> B.Write an equation for the line.
jolli1 [7]

Answer:

Part A) The slope is  m=-\frac{1}{2}

Part B) The equation of the line is y=-\frac{1}{2}x-1

Step-by-step explanation:

Part A) What is the slope of the graph?

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

Looking at the graph it takes any two points

(-2,0) and (0,-1)

substitute the values in the formula

m=\frac{-1-0}{0+2}

m=\frac{-1}{2}

m=-\frac{1}{2}

Part B) Write an equation for the line

we know that

The equation of the line in slope intercept form is

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

we have

m=-\frac{1}{2}

b=-1 ----> the y-intercept is the point (0,-1)

substitute

y=-\frac{1}{2}x-1

5 0
2 years ago
From 83 to 46 percent change
worty [1.4K]

Answer:

-44.58%

Step-by-step explanation:

If I spent $83 on a coat and the next week found it for $46,  how much did it change? Well 83-46 is $37 and is -$37 because that's how much money I lost. To find the percent change we divide the difference of -37 by the total 83.

-37/83= - 0.44578

To convert from a decimal to a percent, I multiply by 100.

-0.44578(100)= -44.58 rounded.

5 0
3 years ago
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