Answer:
Step-by-step explanation:
The given function is

The graph of this function is a parabola that opens downwards
The line
intersects this parabola, when

The teammate can spike the ball after 0.25 seconds or 0.5 seconds.
The two solutions are reasonable. When the volleyball is accelerating into the air, it passes a height of 8 after 0.25 seconds.
When the ball is dropping after it attains maximum height, it attains another height of 8 after 0.5 seconds again.
Answer:
The price would be decreased by 18 bozats
Step-by-step explanation:
The following information is given in the question
x = number of kilograms of snig sold
P = Price per kilogram
And, the equation is
p = 300 - 18x
Now if an extra kilogram is sold so it should be x+1
Now the new price is
New price = 300 - 18(x + 1)
= 300 - 18x - 18
Therefore the price would be decreased by 18 bozats
Answer:
He'll need 288 cups to make a waffle on his 24 foot diameter circular griddle.
Step-by-step explanation:
In order to find out how much batter Danny needs we first need to compute the area of the first pans, since it is a circular pan their area is given by A = 2*pi*r. So we have:
Area of the first pan = 2*pi*(6/2) = 18.84 square inches
Area of the second pan = 2*pi*(24/2) = 75.36 square foots
We now need to convert these values to be in the same unit, we'll convert from square foots to square inches:
Area of the second pan = 75.36 * (12)^2 = 10851.84 square inches
We can now use a proportion knowing that the batter and the thickness of the waffles are the same. If 0.5 cup of flour can make a waffle on 18.84 square inches then x cup of flour can make a waffle on 10851.85 square inches. Writing this in a mathematical form, we have:
0.5/x = 18.84/10851.84
18.84x = 0.5*10851.85
x = 10851.85*0.5/18.84 =288 cups
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of open acres
y ----> the number of developed acres
we know that
-----> inequality A
----> inequality B
Remember that
if the number of open acres, x, can be no more than 1. then the number of open acres, x must be less than or equal to 1
Solve the system of equations by graphing
The solution is the shaded area (Note The number of acres cannot be a negative number)
The graph in the attached figure