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V125BC [204]
3 years ago
8

Which shows the given inequalities in slope-intercept form?

Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

Answer: Solve for X      

4x−5y<1

Step-by-step explanation:

step 1 add 5y to each side

4x−5y+5y<1+5y

4x<5y+1

Step 2: Divide both sides by 4.

4x4<5y+14

x<54y+14

Answer:

x<54y+14

Let's solve for x.

12y−x<3

Step 1: Add (-1)/2y to both sides.

−x+12y+−12y<3+−12y

−x<−12y+3

Step 2: Divide both sides by -1.

−x−1<−12y+3−1

x>12y−3

Answer:

x>12y−3

now just graph 4x-5y<1 shows the given inequalities in slope -intercep form.

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2 years ago
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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
Twelve eggs cost $2.09.How much would 18 eggs cost?
Ostrovityanka [42]
12 egg=2.09
then your adding 6 more eggs to get 18 eggs and 6 is half of 12
so you would be adding half the price
2.09/2=1.05
so then add 2.09+1.05=3.14
So 18 eggs would be $3.14

Hope this helps!! :D
8 0
2 years ago
1- A soma de dois números é 1620 e a diferença entre eles e 740.Quais são esses números?
Vladimir79 [104]
Os números são 1180 e 440. <span>¡Espero que esto ayude!</span>
8 0
3 years ago
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