Write an expression for the product of - 3 *- 2y

Answers

Answer 1
Answer: I think it’s 6y hopefully it’s correct lol

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A company’s total cost from manufacturing and selling x units of their product is given by: y = 2x2 – 600x + 49,000. How many units should be manufactured in order to minimize cost, and what is the minimum cost?a. (100, $9,000)b. (125, $3,250)c. (150, $4,000)d. (170, $4,800)e. (200, $9,000)

Answers

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

y=2x^2-600x+49000

We need to find the number of units in order to minimize cost.

We first derivative w.r.t. x,

y'=4x-600

For critical points:

y'=0\n\n4x-600=0\n\n4x=600\n\nx=(600)/(4)\n\nx=150

Now, we will check whether it is minimum or not.

We will find second derivative .

y''=4>0

So, it will yield minimum cost.

Minimum cost would be

y(150)=2(150)^2-600* 150+49000\n\ny(150)=\$4000

Hence, At 150 units, minimum cost = $4000

Therefore, Option 'c' is correct.

A cell phone company charges $15 for 120 minutes. What is the cost per minute? Round to the nearest cent.

Answers

Answer: The cost per minute is $0.13 or 13 cents.

Step-by-step explanation:

If it charges $15 for 120 minutes  then to get to one minute we will have to divide it by 120.

so 15/120 =  0.125  which rounds to 0.13 to the nearest cent.

Answer:

Step-by-step explanation:

Question 8A rectangle has vertices at (0,0), (3,0), and (0,6). What is the area
of the rectangle?

I’ll mark you!

Answers

Answer:

18 square units

Step-by-step explanation:

The area of a rectangle is simply it's base length multiplied by its height.

A = b × h

Since a rectangle has all right angles, it must have two sets of parallel sides.

Given the coordinates (0, 0), (3, 0), (0, 6) which are vertices of the rectangle. You can find the distance between each point to get the side length and then multiply the two side lengths together.

In your own words, describe how to graph the linear equation y = -1/5x + 3. Step by step

Answers

Answer:

Steps given below and graph is attached.

Step-by-step explanation:

First Step:

Find out y-intercept by substituting x=0

y=-(1)/(5)* 0+3\n\ny=3\n\nHence\ line\ passes\ through\ (0,3).

Second Step:

Find out x-intercept by substituting y=0.

0=-(1)/(5)x+3\n\n(1)/(5)x=3\n\nx=15\n\nHence\ line\ passes\ through\ (15,0).

Third Step:

Draw a line passing through (0,3)\ and\ (15,0).

Graph is attached.

3) A particular motorcycle is 9 ft long. Amodel of it was built with a scale of 1 in :3
ft. How long is the model?

Answers

The model is 3 inches, since 3 times 3 is 9 and 1 times 3 is 3.

Answer:3 inches

Step-by-step explanation:

For every inch is 3 feet

9 feet ÷3 feet to 1 inch = 3 inches

The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 cm, find its area.

Answers

Answer:

width=25/3

Length=75/3

Step-by-step explanation:

Given

Perimeter=50

Let width=x

Length=4x

So perimeter =2(length+width)

2(length+width)=50

2(X+2x)=50

3x=25

X=25/3

So width=25/3

Length=75/3