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trapecia [35]
3 years ago
5

What is the slope of the line represented by the equation y = x-3? < O-3 3

Mathematics
2 answers:
maks197457 [2]3 years ago
5 0

Answer:

The slope is 1

Step-by-step explanation:

There is no coefficient by x so it is assumed 1

Zarrin [17]3 years ago
5 0

Answer:

The slope is 1

Step-by-step explanation:

The equation is in the form

y = mx+b where m is the slope and b is the y intercept

y = x-3

The slope is 1 and the y intercept is -3

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(From Textbook) A company makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce,
Doss [256]

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:

10x+2y\geq 200 ---A

5x+2y\geq 150  ---B

Since x and y represent the ounces .

So, x\geq 0 ---C and y\geq 0 ----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 : c=10x+y

At(0,100)

c=10x+y

c=10(0)+100

c=100

At(10,50)

c=10x+y

c=10(10)+50

c=150

At(30,0)

c=10x+y

c=10(30)+0

c=300

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.

3 0
3 years ago
PLZ HELP, WILL MARK BRAINLEST
nata0808 [166]

Answer:

A and B

Step-by-step explanation:

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Two angel's of a triangle measure 12* and 40* what is the measure <br> of the third angle
babunello [35]
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Rzqust [24]
IT IS 6 2/3 BECAUSE 6 GOES INTO 40 6 TIMES WITH A REMAINDER OF 4. SO, IT IS 6 4/6. YOU GOT TO SIMPLY SO IT IS 6 2/3
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