Answer:
X=-1
Step-by-step explanation:
-5x+1=6
change the signs
5x-1=-6
add 1 to - 6
5x = -5
divide both sides by 5
X=-1
Answer:
0.25 feet per minute
Step-by-step explanation:
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.


Since base diameter = Height of the Cone
Radius of the Cone = h/2
Therefore,


Therefore: 
We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute
Answer:
h(x) = 2x²+2
Step-by-step explanation:
Given the function g is defined as follows.
g(x) = 2x²+7
If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;
h(x) = 2x²+7 - 5
h(x) = 2x²+2
The sale price S (in dollars) of an item is given by the formula
S=L−rL , where L is the list price (in dollars) and r is the discount rate.
Since, S = L -rL
rL = L -S
r = 
r = 
Since, the listed price of the shirt is $30, we have to find the discount rate.
Therefore, r =
is the discount rate.
12.5%. there is a 1 in 8 chance that all three times it will land on heads.