Answer: There are 3.25 or 3 1/4 gallons in one cooler
Step-by-step explanation:
If one liter is appx .26 gallons we need to multiply the number of liters there are. So 12.5 times .26 to get the answer 3.25
Answer: -4x(4x - 15)
Step-by-step explanation:
f(x) =
+ 60x
y =
+ 60x
=> - (
- 60x)
=> -4x(4x - 15)
Answer:
P = 9 is the max value
Step-by-step explanation:
Sketch
2x + 4y = 10
with x- intercept = (5, 0) and y- intercept (0, 2.5)
x + 9y = 12
with x- intercept = (12, 0) and y- intercept = (0,
)
Solve
2x + 4y = 10 and x + 9y = 12 to find the point of intersection at (3, 1)
The region corresponding to the solution of the system of constraints
Has vertices at (0,
), (0, 0) , (5, 0) and (3, 1)
Now evaluate the objective function at each vertex.
(0, 0) can be excluded as it will not give a maximum
(5, 0) → P = 5 + 0 = 5
(0,
) → 0 + 8 = 8
(3, 1) → 3 + 6(1) = 3 + 6 = 9 ← maximum value
Thus the maximum value is 9 when x = 3 and y = 1
9514 1404 393
Answer:
(5, 1) or maybe (h, k)
Step-by-step explanation:
The given form has no letters other than the variable. The vertex in this vertex-form equation can be read from the expression as (5, 1).
In the generic vertex form ...
f(x) = a(x -h)² +k
the letters (h, k) are used to represent the vertex.
__
You would need to consult your curriculum materials to see what letters your author uses for the vertex in vertex form.
<u>First what I did was find how much each pound would cost per different package. </u>
<u>So starting off with the 3 pound package. I did 2.49 divided by 3 to find out how much each pound would weigh. </u>
2.49 / 3 = 0 . 83
<u>So each pound in the 3 pounded package would cost $0.83. </u>
<u>Now to see how much the 8 pound package would cost. Just like the 3 pound package I had to find how much each pound would weigh. So I divided 6.49 by 8. </u>
6.49 / 8 = 0.81125
<u>So looking at the results the 3 pound package would be the best option. You are getting more for less. </u>
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HOPES THIS HELPS!