Answer:
14 month
Step-by-step explanation:
Lets create equations for these two gyms. I believe this is an algebra 1 problem.
Community Gym: y=70x+50
Workout Gym: y=60x+190
Because both gyms are equal to y, we can set them together and solve for x.
70x+50=60x+190
10x=140
x=14
You can find the cost by plugging in 14 into both of the equations. You get a cost of $1030 after 14 months
Therefore, after 14 months you will have paid the same amount for both gyms.
Answer: b
Step-by-step explanation:
Using the side of the square find the area:
Area = 30^2 = 900 square feet.
The rectangles area is the same, 900 square feet.
Let the width = X
The length would be 2X + 70
Area = length x width
X * 2x+ 70 = 900
This expands to 2x^2 * 70x = 900
Use the quadratic formula to solve for x:
-70 +/- sqrt(70^2-4*2(-900))/2*2
X = 10
Width = x = 10 feet
Length = 2x + 70 = 90 feet
Given:
The given function is:

To find:
The differentiation of the given function.
Solution:
Consider the given function,

It can be written as:




Differentiate with respect to x.


Therefore, the differentiation of the given function is
.
Answer:
The equation of the line of best fit is: y = -2.33x + 591.78
The correlation coefficient is: -0.99
There is a strong negative correlation
Step-by-step explanation:
The negative correlation is seen in the sign of the correlation coefficient, which is negative.
The correlation is strong because the absolute value of the correlation coefficient (0.99) is near to one