Since y equals the product of the factors, any value for x which makes any factor equal to zero is a point where the graph touches the x-axis.
x=-5 and 2 (technically the points (-5,0) and (2,0))
Hey there! First, set up the equation y = mx + b<span>. Next, we're going to subtract b from both sides, leaving us with </span>y - b = mx. After that, divide the equation by x to isolate the variable "m". The answer is y-b / x = m. I hope this helps!
Answer: Sylvia should use 35 pounds of Kona coffee and 65 pounds of Columbian coffee
Step-by-step explanation:
Let x represent the number of pounds of Kona coffee that Sylvia should use.
Let y represent the number of pounds of Columbian coffee that Sylvia should use.
Sylvia wants to mix 100 pounds of Breakfast Blend coffee. This means that
x + y = 100
She is using two types of coffee to create the mixture. Kona coffee sells for $51 per pound and Columbian coffee sells for $11 per pound and the mixture would sell for $25 per pound.
This means that
51x + 11y = 2500 - - - - - - - - 1
Substituting x = 100 - y into equation 1, it becomes
51(100 - y) + 11y = 2500
5100 - 51y + 11y = 2500
- 51y + 11y = 2500 - 5100
- 40y = - 2600
y = - 2600/-40
y = 65
x = 100 - y
x = 100 - 65 = 35
Answer:
56.8
Step-by-step explanation:
8 is the tenth
numbers that are 4 or under stay the same
numbers that are 5 or above round up
Answer:
dh/dt = 0,07 ft/min
Step-by-step explanation:
The swimming pool has the shape of right circular cylinder, therefore its volume is
V(c) = π*x²*h
Where x is the radius of the base and h the height
We take differentiation on both sides of the equation to get:
dV/dt = π*x²*dh/dt
The rate of change in height of water in the pool, is independent of the height of the water, since the pool is a right crcular cylinder, and dV/dt is constant at 8 ft³/min.
Then:
8 = π*x²*dh/dt
dh/dt = 8 / π*x²
dh/dt = 8/113,04
dh/dt = 0,07 ft/min
