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3 years ago

PLS I REALLY NEED HELP! Write a function rule for the data in the following table.

Mathematics

2 answers:

My name is Ann [436]3 years ago

4 0

Answer: Multiply by 3 in everyone

Step-by-step explanation: 4 times 3 is 12 5 times 3 is 15 6 times 3 is 18 and 7 times 3 is 21

mamaluj [8]3 years ago

4 0

Answer:

It will probably be y = 3(x)

so let's take the first example

x = 4

so use the rule

y = 3(x)

y = 3(4)

y = 3 x 4

y = 12

that's how y became 12.

So use the rule : y = 3(x)

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A fence must be built to enclose a rectangular area of 20,000 ft^2. Fencing material costs $4 per foot for the two sides facing

Marysya12 [62]

The cost of the least expensive fence is $3200

Step-by-step explanation:

The given is:

A fence must be built to enclose a rectangular area of 20,000 ft²
Fencing material costs $4 per foot for the two sides facing north and south and $8 per foot for the other two sides

We need to find the cost of the least expensive fence

Assume that the length of each side opposite to North or South is x feet and the length of each other sides is y feet

∵ The length of the rectangle = x feet

∵ The width of the rectangle = y feet

∵ The rectangular area is 20,000 ft²

- Area of a rectangle = length × width

∴ x × y = 20,000

- Divide both sides by x to find y in terms of x

∴ $y=\frac{20,000}{x}$

The fence's length is equal to the perimeter of the rectangular area

∵ Perimeter of the rectangle = 2 length + 2 width

∴ Perimeter of the rectangle = 2x + 2y

∵ Fencing material costs $4 per foot for the two sides facing

North and South

∴ x costs $4 per foot

∵ The cost of the other two sides is $8 per foot

∴ y costs $8 per feet

The cost of the fence is the sum of the products of 4 , 2x and 8 , 2y

∵ The cost of the fence (C) = 4(2x) + 8(2y)

∴ C = 8x + 16y

- Substitute y by its value above

∴ $C=8x+16(\frac{20,000}{x})$

∴ $C=8x+\frac{320,000}{x}$

To find the least expensive differentiate C with respect to x and equate the answer by 0 to find the value of x

∵ $\frac{320,000}{x}$ can be written as $320,000x^{-1}$

∴ $C=8x+320,000x^{-1}$

∵ $\frac{dC}{dx}=8(1)x^{1-1}+320,000(-1)x^{-1-1}$

∴ $\frac{dC}{dx}=8-320,000x^{-2}$

- Equate $\frac{dC}{dx}$ by zero

∴ $8-320,000x^{-2}=0$

∵ $-320,000x^{-2}=-\frac{320,000}{x^{2}}$

∴ $8-\frac{320,000}{x^{2}}=0$

- Subtract 8 from both sides

∴ $-\frac{320,000}{x^{2}}=-8$

- Multiply both sides by x²

∴ - 320,000 = - 8x²

- Divide both sides by -8

∴ 40,000 = x²

- Take √ for both sides

∴ 200 = x

Substitute x in the equation of C to find the least cost of fence

∵ $C=8(200)+\frac{320,000}{(200)}$

∴ C = 1600 + 1600

∴ C = 3200

The cost of the least expensive fence is $3200

Learn more:

You can learn more about the differentiation in brainly.com/question/4279146

#LearnwithBrainly

5 0

3 years ago

Two-fifths of the fish in Gary's fish tank are guppies.One-fourth of the guppies are red.What fraction of the fish in Gary's tan

DanielleElmas [232]

How many fish are there in all? We need that to answer the question.

7 0

3 years ago

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Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the tab

expeople1 [14]

You can write the equation in point-slope form, which has the format y-ysubscript1=m(x-xsubscript1), with ysubscript1 and xsubscript1 being the y and x coordinates for a point on the line, and m being the slope.

Substitute a y and x coordinate into the equation so you have y-6=m(x-2)

Then find the slope so you can replace m. The slope formula is (ysubscript2-ysubscript1)/(xsubscript2-xsubscript1). Substitute the coordinates in so you have m=(16-6)/(4-2), which simplifies to 10/2 and then 5.

Now the equation is y-6=5(x-2)

If you want a different form, for example slope-intercept form, you can change it to that:

y-6=5(x-2)

y=5x-4

6 0

3 years ago

A punch recipe requires 4 L of orange juice and 3 L of pineapple juice. Sylvia wants to tripple the recipe. What is the total am

kirill [66]

Answer:

Sylvia needs 12 l of orange juice and 9 l of pineapple juice.

Step-by-step explanation:

triple means multiplying by 3

so multiply 4 l of orange juice by 3 and 3 l of pineapple juice by 3

3 0

4 years ago

50% of 30, hurry <3 its saying my question is too short so ignore what im saying rn

9966 [12]

Answer:

The answer is 15

Step-by-step explanation:

50% of 30

30 × 50 ÷ 100 = 1500/100 = 15

Thus, The answer is 15

-TheUnknownScientist 72

3 0

2 years ago

Read 2 more answers