A dance studio charges an application fee of $75 and $50 per month for membership. This is represented by the linear equation C = 50x + 75, where C represents the cost and x represents the number of months. They are running a "no application fee" special during the month of January. How should the linear equation be changed to represent the new price?
A) Change the cost to 0. B) Change the slope to 0. Eliminate C) Change the x-intercept to 0. D) Change the y-intercept to 0.

Answer:

(x-3)^2 + (y+2)^2 = 25

Step-by-step explanation:

Center is (3,-2) Radius is 5

3=h -2=k r=5

Formula (x-h)^2 + (y-k)^2 = r^2

Plug it in and switch the signs inside the ( )

(x-3)^2 + (y+2)^2 = 25

Answer:

Volume = 1099 cm³

Step-by-step explanation:

Volume = πr²h = 3.14(5²)(14) = 1099 cm³

Answer:

its a bit hard to see the words. they're all a blur

Step-by-step explanation:

try posting this same question just zoomed in a bit more :)

Answer:

A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on.

Answer:

52.36 rounded to hundredth place

Step-by-step explanation:

8 is the height and radius is half of the diameter. Just plug those into the equation

Answer:

4096pi/3

Step-by-step explanation:

Volume is pi * r^2 * h/ 3

r (radius) = 16

h (height)= 16

pi * 256 * 16/3 = 4096pi/3

Answer:

$13,577.22

Step-by-step explanation:

Multiply 18,500 by 0.94 for each year

Answer:

The mean is 30

Answer:

k = ±[tex]\frac{10}{11}[/tex]

Step-by-step explanation:

121k² - 100 = 0

(11k + 10)(11k - 10) = 0

Answer:

234

Step-by-step explanation:

300 x .78 = 234

Answer:

234 pages.

Step-by-step explanation:

Remark

78% = 78/100

78% of 300 = 78/100 * 300 = 23400/100 = 234

Answer:

last one

Step-by-step explanation:

Answer:

[tex] 3 \sqrt{3} [/tex]

Step-by-step explanation:

[tex]tan \: 60 \degree = \frac{y}{3} \\ \\ y = 3tan \: 60 \degree \\ \\ y = 3 \sqrt{3} [/tex]

Answer:

y = 3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex]  , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{3}{y}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

y = 3[tex]\sqrt{3}[/tex]

Answer:

B

Step-by-step explanation:

B is correct...

Answer:

360:480

We know the total (840) so add the ratio: 3 + 4 =7

Divide 840 by 7 = 120

Multiply each part of the ratio by 120

3 x 120 = 360

4 x 120 = 480

Step-by-step explanation:

Given:

The functions are:

[tex]f(x)=x^2-x[/tex]

[tex]g(x)=9-2x[/tex]

[tex]h(x)=x^2+2x-63[/tex]

To find:

The function [tex](f+h)(x)[/tex].

Solution:

We know that,

[tex](f+h)(x)=f(x)+h(x)[/tex]

Substituting the values of given functions, we get

[tex](f+h)(x)=x^2-x+x^2+2x-63[/tex]

[tex](f+h)(x)=2x^2+x-63[/tex]

Therefore, the required function is [tex](f+h)(x)=2x^2+x-63[/tex].

Answer: See explanation

Step-by-step explanation:

The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.

The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:

= 3000 - 300

= 2700

Answer:

um what?

Step-by-step explanation:

I don't understand this

Answer:

4

Step-by-step explanation:

The slope of a line is given as the ratio of change in y to the change in x :

Change in y(dy) / change in x (dx)

Change in x = 1 ; change in y = 4

Slope = 4 / 1

The slope of the line = 4

Answer:

Step-by-step explanation:

Yes, the ordered number pair (72, 1/3) can readily be located on on a rectangular grid.  The x-coordinate is 72: draw a vertical line through 72.  The y-coordinate is 1/3; draw a horizontal line through y = 1/3.  

The point of intersection of these two lines is the graphical representation of the ordered number pair (72, 1/3).

Answer:

The dot plot shows the number of flowers each science student was able to identify.

A dot plot whose number line is labeled Number of flowers identified. There are 2 dots above 0, 4 dots above 1, 5 dots above 2, 7 dots above 3, 4 dots above 4, 3 dots above 5, 2 dots above 6, 1 dot above 7, 2 dots above 8, 1 dot above 9, 1 dot above 10, and 1 dot above 12.

Select from the drop-down menus to correctly complete the statement.

The distribution of data is 1 "skewed right", with a mode of 2 "3", and a range of 3 "12".

Step-by-step explanation:

I took the test!

Answer:

44.68 m²

Step-by-step explanation:

Area of a sector = θ/360*πr²

Where,

θ = 80°

r = 8 m

Plug in the values into the equation

Area of the sector = 80/360*π*8²

= 44.6804288 ≈ 44.68 m² (nearest hundredth)

Answer:

√729=√27*27=√27^2=27

Answer:

75 degrees since it has 2 equal sides.

Answer:

multiply 36 by .20 and subtract that from 36

Step-by-step explanation:

20% is the amount off. if you multiply .20 and subtract it you'll get $7.20 so 36-7.20 which is $28.80.

Answer:

28.80 is 36 dollars 20 percent off.

Step-by-step explanation:

take the original price

divide the original price by 5

alternatively, divide the original price by 100 and multiply it by 20

subtract this new number from the original one

the number you calculated is the discounted value.

more simple steps:

1. subtract the final price from the original price

2. divide this number by the original price

3. multiply the result by 100

other explanation: a 20 percent discount is 0.20 in decimal format. secondly, multiply the decimal discount by the price of the item to determine the savings in dollars. for example: if the original price of the item equals 24$, y I u would multiply 0.2 by 24$ to GET $4.80

hope this helps!

Answer:

A) 15

Step-by-step explanation:

20 x 0.75= 15