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snow_tiger [21]
3 years ago
5

Simplify the expression: –3(3 + 2n)

Mathematics
2 answers:
noname [10]3 years ago
8 0

Answer:

-9 - 6n is the answer

Ne4ueva [31]3 years ago
3 0

Steps to solve:

-3(3 + 2n)

~Distribute

-9 - 6n

Best of Luck!

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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
Find the product of 2x2 + 3x - 6 and 4x3 - x + 7.​
yanalaym [24]

Answer:

8x^5 + 12x^4 - 26^3 + 11x^2 + 27x - 42

Step-by-step explanation:

(2x^2 + 3x - 6)(4x^3 - x + 7)

8x^5 -2x^3 +14x^2 + 12x^4 - 3x^2 + 21x -24x^3 + 6x - 42

8x^5 + 12x^4 - 26^3 + 11x^2 + 27x - 42

5 0
3 years ago
So sánh 198*202 và 200^2
Ber [7]

Step-by-step explanation:

198×202=39,996

200×200=40,000

hence,

39,9996 < 40,000

hope it helps

5 0
3 years ago
If King sets the price at $2.50 per doll how many disappointed customers will each store have during this week?.explain your pro
Anastasy [175]

Answer: about TWO

Step-by-step explanation:

5 0
3 years ago
Help me with this pie chart [urgent i guess]​
Leokris [45]

(b) 40 * \frac{72}{360} = 40 * \frac{1}{5} = 8

(c) 360 - (72 + 144 + 81) = 360 - 297 = 63

(d) \frac{144}{360} = \frac{2}{5}

4 0
2 years ago
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