Given function: f(x) = (3x+5)/7
y = f(x) so it's the same as y = (3x+5)/7
Swap every copy of x and y to get x = (3y+5)/7
Solve for y to get....
x = (3y+5)/7
7x = 7*(3y+5)/7
7x = 3y+5
7x-5 = 3y+5-5
7x-5 = 3y
3y = 7x-5
3y/3 = (7x-5)/3
y = (7x-5)/3
So the inverse function is f^(-1)(x) = (7x-5)/3
Answer is choice A
Answer:
The volume of pyramid B is 3.5 times greater than the volume of pyramid A
Step-by-step explanation:
The area of squared based a pyramid is given by:
Where 's' the length of the side of the base and 'h' is the height.
For pyramid A:
h= 100 m
s= 356/4 = 89 m
For pyramid B:
h= 215 m
s= 456/4 = 114 m
Pyramid B has a greater volume and the ratio between volumes is:
Answer:
x = -7
Step-by-step explanation:
Simplifying
5x + 130 = 8x + 151
Reorder the terms:
130 + 5x = 8x + 151
Reorder the terms:
130 + 5x = 151 + 8x
Solving
130 + 5x = 151 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
130 + 5x + -8x = 151 + 8x + -8x
Combine like terms: 5x + -8x = -3x
130 + -3x = 151 + 8x + -8x
Combine like terms: 8x + -8x = 0
130 + -3x = 151 + 0
130 + -3x = 151
Add '-130' to each side of the equation.
130 + -130 + -3x = 151 + -130
Combine like terms: 130 + -130 = 0
0 + -3x = 151 + -130
-3x = 151 + -130
Combine like terms: 151 + -130 = 21
-3x = 21
Divide each side by '-3'.
x = -7
Simplifying
In order to find the speed at which the boat is traveling, we divide the distance it has traveled by the time elapsed:
2.5/20=0.125 miles/minute
Next, we want to find how long it took for the boat to travel 10 miles. Since it travels 0.125 miles every minute, we just divide:
10/0.125=80
Thus, it took 80 minutes for the boat to reach the bridge
Answer:
answer is 25
Step-by-step explanation:
EKJ = 90, same as JHF, and EJK is 65 (because EJF =115 and 180-115=65
65+90=155
180-155=25
