Answer:
y = 2(x-3)^2 -12
y = -4/9(x-2)^2 +7 bonus
Step-by-step explanation:
The vertex form of a parabola is
y = a(x-h)^2 + k where (h,k) is the vertex
y = a(x-3)^2 - 12
We have one point given (0,6)
6 = a (0-3) ^2 -12
6 = a (-3)^2 -12
6 = 9a-12
Add 12 to each side
6+12 = 9a
18 = 9a
Divide each side by 9
18/9 = 9a/9
a=2
y = 2(x-3)^2 -12
We follow the same steps for the bonus
y = a(x-2)^2 +7
Substitute the point into the equation
3 = a (-1-2)^2 +7
3 =a (-3)^2 +7
3 = 9a +7
subtract 7 from each side
3-7 = 9a +7-7
-4 = 9a
Divide by 9
-4/9 =a
y = -4/9(x-2)^2 +7
The cost for each serving of soup is $0.62
<u>Step-by-step explanation:</u>
Diameter =3.5 inches
Radius = 1.75 inches
Height = 5 inches
Each serving of soup = 15 cubic inches
Cost of the can = $1.99
Volume of the can = π(1.75 x 1.75) 5
= (3.14) (3.0625) 5
= 48.08 cubic inches
For 48 cubic inches of soup the cost is $1.99
For 15 cubic inches of soup the coat will be,
Cost = (15x1.99) /48
= $0.62
The cost for each serving of soup is $0.62
For this case we have the following functions:
When composing the functions we have:
Substituting values we have:
Rewriting:
The function has a horizontal asymptote at y = 3.
Therefore, the range of the function is all reals minus y = 3.
Answer:
option 3
Answer:
Y=59 Z=93
Explanation:
To find Z, you have to know the line is equal to 180 degrees. You then subtract 180-87=93 that’s how you get Z. Then with that you know that 34+Y is going to equal 93 because they are across from each other. I forgot what that property is called, but yeah. Then you subtract 93-34=59 there you go hope that helps :)
Step-by-step explanation:
the answer is $.75
:))))))
