M + 5f = 25....multiply by -1
m + 10f = 40
----------------
-m - 5f = -25 (result of multiplying by -1)
m + 10f = 40
-----------------add
5f = 15
f = 3
m + 10f = 40
m + 10(3) = 40
m + 30 = 40
m = 40 - 30
m = 10
so the membership fee (m) = 10 and the sessions(f) = 3
Answer:
x = -11/2
Step-by-step explanation:
The ratios need to stay the same
5x 11
----- = -------
x-2 3
Using cross products
5x*3 = (x-2) 11
15x = 11x - 22
Subtract 11 from each side
15x-11x = -22
4x = -22
x = -22/4
x = -11/2
Answer:
-$7
Step-by-step explanation:
20 - 15 = 5
5 + 5 = 10
10 - 10 = 0
0 - 7 = -7
Answer:
False
Step-by-step explanation:
To find the inverse of a function, switch the variables and solve for y.
The inverse of f(n)=-(n+1)^3:
![\sqrt[3]{n} =-(y+1)](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%3D-%28y%2B1%29)
![\sqrt[3]{n} =-y-1](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%3D-y-1)
![\sqrt[3]{n} +1=-y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%20%2B1%3D-y)
![-(\sqrt[3]{n} +1)=y](https://tex.z-dn.net/?f=-%28%5Csqrt%5B3%5D%7Bn%7D%20%2B1%29%3Dy)
![-\sqrt[3]{n} -1=y](https://tex.z-dn.net/?f=-%5Csqrt%5B3%5D%7Bn%7D%20-1%3Dy)
Answer:
17ft wide
Step-by-step explanation:
The room is 9 by 19ft
Length (x) = 19ft
Width(y) = 9ft
Area of the rug = 119ft^2
x*y = 119 ...........(1)
For the second equation we will make sure the strip around the room is uniform in size
9 - x = 19 - y
-x = 19 - 9 -y
-x = 10 - y
x = y - 10 ..........(2)
Put the value x in equation 1
(y - 10)y = 119
y^2 - 10y = 119
y^2 - 10y - 119 = 0
a = 1, b = -10, c= -119
Use quadratic formula to solve the equation
y = (-b +/-√b^2 -4ac) / 2a
y = [-(-10) +/- √ (-10)^2 - 4(1)(-119)] /2(1)
y = (10 +/- √100 + 476) /2
y = (10+/-√ 576 ) / 2
y = (10 +/- 24) / 2
y = (10 + 24) /2 or (10 - 24)/2
y = 34/2 or -14/2
y = 17 or -7
y = 17 ft
Recall that x = y - 10
x = 17 - 10
x = 7ft
