If ΔJKL is congruent to ΔTUV, which of the following can you NOT conclude as being
2 answers:
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Answer:
The width of a rectangle is: w = x+3
Step-by-step explanation:
Given
The length of rectangle = l = 4x
The area of rectangle = A = 4x² + 12x
To determine
The width of rectangle = w = ?
We know that the formula of the area of the rectangle is
substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle
4x² + 12x = w×4x
w = [4x² + 12x] / [4x]
Factor 4x² + 12x: 4x(x+3)
w = [ 4x(x+3) ] / [4x]
w = x+3
Therefore, the width of a rectangle is: w = x+3
Answer:
The company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.
Step-by-step explanation:
Let x be the number of ounces of chicken
let y be the number of ounces of grains
We are given that Chicken has 10 grams of protein and 5 grams of fat per ounce.
Chicken has protein in 1 ounce = 10
Chicken has protein in x ounces = 10x
Chicken has fat in 1 ounce = 5
Chicken has fat in x ounces = 5x
We are also given that grain has 2 grams of protein and 2 grams of fat per ounce
Grain has protein in 1 ounce = 2
Grain has protein in y ounces = 2y
Grain has fat in 1 ounce = 2
Grain has fat in y ounces =2y
Now we are given that . A bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat.
So, equation becomes:
---A
---B
Since x and y represent the ounces .
So, ---C and
----D
Plot A ,B ,C and D on the graph
Refer the attached graph so , the corner points are (0,100),(10,50) and (30,0)
We are also given that chicken costs 10 cents per ounce and grain costs 1 cent per ounce
So, Cost function becomes :
At(0,100)
At(10,50)
At(30,0)
Minimum cost is 100 cents at (0,100)
So, the company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.
