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3 years ago

A shipping company charges based on calculations of the volume of a rectangular box and the sum of the dimensions of the

Mathematics

1 answer:

Alexandra [31]3 years ago

7 0

Answer:

B. The sum function is linear but the volume function is not

Step-by-step explanation:

We are given that f(x) and g(x) are linear. Due to this, the sum function S(x) is linear.

And we know the shape of our figure, so we just need to multiply the dimensions for V(x) but the product of three linear functions results in a cubic function, and we conclude V(x) is not linear.

Glad to answer.

You might be interested in

Whats the answer for 10p+(-5)+(-y)+(-10p)

Amanda [17]

10p-5-y-10p

10p-10p-5-y

-5-y

hope it helps!

if not, sorry...

4 0

3 years ago

A company dyes two sizes of rugs. A small rug requires 8 hours for dyeing and a medium-size rug requires 12 hours for dyeing. Th

Nikolay [14]

Answer:

8x + 12y < 240

Step-by-step explanation:

If x equals the number of small rugs and y equals the number of medium rugs dyed, we would need to multiply both variables by the number of hours taken to dye each sized rug. It takes 8 hours to dye a small rug (8x), and 12 hours to dye a medium rug (12y).

Then, to find the total number of hours they dye them in, add the terms together.

8x + 12y

The company must dye the rugs in less than 240 hours, so we will use a 'less than' (inequality) sign (it cannot be 240, or any more than 240).

8x + 12y < 240

8 0

3 years ago

Please help!!

jenyasd209 [6]

Answer:

x = - 3

y = - 2

Step-by-step explanation:

Start with the second equation. Switch

3y = 2x Divide by 3

3y/3 = 2x/3

y = 2x/3

Now go to the first equation. Put the value for y in the first equation.

x - 3(2x/3) = 3 Cancel the 3s on the left.

x - 2x = 3 Combine

-x = 3 Multiply by -1

-1(-x) = 3(-1)

x = - 3

Now go back to the original equation I have called the second equation

2x = 3y

2(-3) = 3y Put in - 3 for x

- 6 = 3y Divide by 3

-6 / 3 = y

y = - 2

8 0

3 years ago

Don ate 160 grams of carbohydrates, 100 grams of fat, and 70 grams of protein today. What is his total calorie consumption for t

Artemon [7]

Answer:

His total calorie consumption for the day is:

Option C. 1.820 kcal

Step-by-step explanation:

Protein and carbohydrates both contain 4 calories per gram, while fat provides 9 calories per gram, then:

1.) 160 grams of carbohydrates contain:

160 grams * (4 cal/gram)=640 cal

2.) 100 grams of fat contain:

100 grams * (9 cal/gram)=900 cal

3.) 70 grams of protein contain:

70 grams * (4 cal/gram)=280 cal

Then, his total calorie consumption for the day is:

T=640 cal + 900 cal +280 cal

T=1,820 cal

T=1,820 cal (1 kcal / 1,000 cal)

T=1.820 kcal

6 0

3 years ago

A 20 foot extension ladder liens against a building if the base of the latter is placed 6 feet from the base of the building wha

goldenfox [79]

For this problem, you're going to need to use trig. More specifically, you need to use the tangent function:

tan (value) = opposite/adjacent

tan 75 = opposite/8 (Here, the opposite side is the length of the ladder)

8 * tan 75 = opposite

29.8564065 = opposite

So, the ladder is 29.9 feet.

6 0

3 years ago