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zhuklara [117]
4 years ago
8

The cost of belonging to a gym can be modeled by C(m)= 50m + 79.50, where C(m) is the total cost for m months of membership. Sta

te the meaning of the slope and y-intercept of this function with respect to the cost associated with the gym membership.
Mathematics
1 answer:
erik [133]4 years ago
3 0

Answer:

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

Step-by-step explanation:

C(m)= 50m + 79.50,

This is written in the form y= mx+b where m is the slope and b is the y intercept.

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

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I NEED HELP PLEASE, THANKS :)
OLga [1]

A circle is made up of 360 degrees. Lets find the decimal form of each part of the circle.

White: 122.4/360 = 0.34

Red: 115.2/360 = 0.32

Silver: 68.4/360 = 0.19

Blue: 54/360 = 0.15

Now, solve for the car color that is not red or blue.

1 - (0.15 + 0.32)

1 - (0.47)

0.53

Therefore, the answer is C.

Best of Luck!

5 0
3 years ago
Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent
goblinko [34]

Answer:

y(x)=x^2+5x

Step-by-step explanation:

Given: y'=\sqrt{4y+25}

Initial value: y(1)=6

Let y'=\dfrac{dy}{dx}

\dfrac{dy}{dx}=\sqrt{4y+25}

Variable separable

\dfrac{dy}{\sqrt{4y+25}}=dx

Integrate both sides

\int \dfrac{dy}{\sqrt{4y+25}}=\int dx

\sqrt{4y+25}=2x+C

Initial condition, y(1)=6

\sqrt{4\cdot 6+25}=2\cdot 1+C

C=5

Put C into equation

Solution:

\sqrt{4y+25}=2x+5

or

4y+25=(2x+5)^2

y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}

y(x)=x^2+5x

Hence, The solution is y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4} or y(x)=x^2+5x

4 0
3 years ago
Options:<br> 14<br> 36<br> 16<br> 12
Lerok [7]

Answer:


12 million dollars.


Step-by-step explanation:


Let the sales in the first year be x million .

So the sales in the second year were x + 4 million, in the third year were 3(x + 4) and this is 48 million dollars.

So we have the equation 3(x + 4) = 48

3x + 12 = 48

3x = 36

x = 12 million dollars.

8 0
3 years ago
Please help i really need help
lukranit [14]

9514 1404 393

Answer:

  17/99

Step-by-step explanation:

Replace the digits 23 in your example with the digits 17 and you have your answer:

  0.\overline{17}=\dfrac{17}{99}

_____

In general, a 2-digit repeat will have 99 as its denominator. If the digits are a multiple of 3 or 11, then the fraction can be reduced. 17 is prime, so the fraction cannot be reduced.

3 0
3 years ago
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