Answer:
Step-by-step explanation:
The parent function is given as
during transformation , the graph is pulled down by 4 units, hence the value of y is decreased by 4 units
Hence
For new function
Hence
please refer to the image attached in this regard
169.7 yd2 ( I rounded to the nearest tenth)
I hope this helps (:
Answer:
Vertex = (12,64)
The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
X-intercepts: 4 and 20
The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
Step-by-step explanation:
To find the vertex we can use the formula for the x-coordinate of the vertex:
x_v = -b/2a
Where a and b are coefficients of the quadratic equation (in this case, a = -1 and b = 24)
So we have that:
x_v = -24 / (-2) = 12
The vertex is 12 cups of coffee. Now we apply this value to find the y-coordinate of the vertex:
f(x) = -12^2 + 24*12 - 80 = 64
So the vertex is (12,64). The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
To find the x-intercepts, we need to make f(x) = 0 and find the values of x:
-x2 + 24x - 80 = 0
Delta = 24^2 - 80*4 = 256
sqrt(Delta) = 16
x1 = (-24 + 16)/(-2) = 4
x2 = (-24 - 16)/(-2) = 20
The x-intercepts are 4 and 20. The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
Answer:
Francesca had 
money left for gift C.
Step-by-step explanation:
Given:
Total money to spent on gift = $20
Money Spent on gift A = 
can Rewritten as 
Money Spent on gift A =
Money Spent on gift B = 
can Rewritten as 
Money Spent on gift B =
We need To find the Money left for gift C.
Solution:
Money left for gift C can be calculated by subtracting Money Spent on gift A and Money Spent on gift B with Total Money spent on gifts.
Framing in equation form we get;
Money left for gift C = 
Now taking LCM for making the denominator common we get;
Money left for gift C =
Hence Francesca had money left for gift C.
