<h2>
Answer:</h2>
The statement which best describes the effect of replacing the function f(x) with g(x) is:
The graph shifts 7 units up.
<h2>
Step-by-step explanation:</h2>
The function f(x) is given by :

The function f(x) is a linear function with positive slope.
and the function g(x) is given by:

The function g(x) is a linear function with same positive slope.
Also, we know that any transformation of the type:
f(x) → f(x)+k
is a translation transformation such that it if k>0 then it is a shift k units upwards and if k<0 then it is a shift k units downward.
Here we have:
g(x)=2x+5-2+2
i.e.
g(x)=2x-2+7
i.e.
g(x)=f(x)+7
Hence, the function g(x) is a translation of the function f(x) 7 units upward.
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
Answer:
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Step-by-step explanation:
The answer is A) 5
This is because:
9(5)+3
=45+3
= 48
Hope this helps :)
Answer:
Ingrid collected 3 times as many Food boxes as she did cans of Food.
Step-by-step explanation:
Ingrid collected 6 cans of food from the food bank.
Ingrid collected 18 boxes of food from the food bank.
In order to determine the relationship
let cans of food = x = 6
So the boxes of food will be 3x = 3*6 = 18
So the relation between Cans of food and boxes of food will be
Ingrid collected 3 times as many boxes as she did cans