All categories

3 years ago

Genesis would like to join a Book Club. She needs to pay $12.00 for entrance into the book

Mathematics

1 answer:

77julia77 [94]3 years ago

5 0

Answer:

An equation in function notation for the total cost of the book club will be:

y = 20x + 12

Step-by-step explanation:

Given that Genesis needs to pay $12.00 for entrance into the book club.

Per month fee = $20.00

We know that the slope-intercept form of a linear function is

$y = mx+b$

where m is the slope and b is the y-intercept

As the rate of change is also called the slope.

The rate of $20.00 per month would be termed as the slope = m = 20

One time fee = $12.00, meaning the y-intercept = b = 12

Thus, the equation becomes

$y = mx+b$

y represents the total cost

x represents the duration

m represents the rate of change = m = 20

b represents the y-intercept = b = 12

y = 20x + 12

Therefore, an equation in function notation for the total cost of the book club will be:

y = 20x + 12

You might be interested in

Write an equation, in the slope intercept form, of the line with an x-intercept at (3 , 0) and a y-intercept at (0 , -5).

mamaluj [8]

Hello : let A(3,0) B(0,-5)
the slope is : (YB - YA)/(XB -XA)
(-5-0)/(0-3) = 5/3

an equation, in the slope intercept form is : y - (-5) = (5/3)(x-0)
y = (5/3)x - 5

6 0

3 years ago

What is the volume of the pyramid?

Roman55 [17]

Answer:

A. 144 ft^3

Step-by-step explanation:

5 0

3 years ago

If 94 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $1.75 and total receipts for the

Tasya [4]

Answer:

52 adults and 42 children attended the concert

Step-by-step explanation:

Given:

Total attendees=94 people

Adults tickets=$2.5

Children tickets=$1.75

Total receipts=$203.5

Let adults=a

Children=c

a+c=94 (1)

2.5a + 1.75c=203.5 (2)

From (1)

a+c=94

a=94-c

Substitute a=94-c into (2)

2.5a + 1.75c=203.5

2.5(94-c) + 1.75c=203.5

235-2.5c+1.75c=203.5

-0.75c=203.5-235

-0.75c=-31.5

Divide both sides by -0.75

-0.75c/-0.75=-31.5/-0.75

c=42

Substitute c=42 into (1)

a+c=94

a+42=94

a=94-42

=52

a=52

Therefore,

52 adults and 42 children attended the concert

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20-4x%20%2B2" id="TexFormula1" title="2x^{2} -4x +2" alt="2x^{2} -4x +2" align="a

Lostsunrise [7]

$2 {x}^{2} - 4x + 2 \\ \\ 2(x {}^{2} - 2x + 1 )\\ \\ 2(x - 1) {}^{2}$

7 0

3 years ago

Read 2 more answers

What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?

Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

Given the equation:

$\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}$

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

$\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}$

- Using the Difference of squares formula ( $a^2-b^2=(a+b)(a-b)$ ) we can simplify the denominator of the right side of the equation:

$\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}$

- Multiply both sides of the equation by $(m+3)(3-m)$ and simplify:

$\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}$

- Multiply both sides by $m-3$ :

$(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)$

- Apply Distributive property and simplify:

$(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0$

- Divide both sides of the equation by -6:

$\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0$

- Factor the equation and solve for "m":

$(m-3)^2=0\\\\m=3$

In order to verify it, you must substitute $m=3$ into the equation and solve it:

$\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}$

NO SOLUTION

7 0

3 years ago