Answer:
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Step-by-step explanation:
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Answer:
x = 4
Step-by-step explanation:
4(5x - 2) = 72
Do the distributive property
20x - 8 = 72
Then add 8 to both sides to get 20x alone
20x - 8 = 72
+ 8 + 8
20x = 80
Then divide both sides by 20 to get x
x = 4
Answer:
He should serve 2 chocolate bars and 2 granola bars
Step-by-step explanation:
Let's define
x: amount of chocolate bar
y: amount of granola bar
We are asked to solve the following optimization problem:
maximize 7*x + 2*y
subject to
50*x + 25*y ≤ 150
5*x + 15*y ≥ 40
x ≥ 0
y ≥ 0
In the figure attached, the feasible region is shown. The solution is one of the vertex
vertex objective function
(0, 2.667) 7*0 + 2*2.667 = 5.334
(2, 2) 7*2 + 2*2 = 18
(0, 6) 7*0 + 2*6 = 12
Solution:
The Preimage function is , F(x)=|x|
Consider a point (a,b) on the function, F(x)=|x|. it means
b=|a|-----(1) satisfies the function.
Now the function F(x)=|x| is vertically stretched by 5 units.It means
x=a , y= b+5
x=a, b=y-5
So, putting the value of a and b in equation (1).
y-5=|x|
y= |x| + 5 is vertical stretch of y= |x| by 5 units.
