the total cost for 6 mangoes and four apples is $46. Which equation represent this information?

The solutions to the questions if y is represented by the formula y = a(x - 100)(x - 200) are:

a) The value of a = -2000

b) The maximum profit the company can make = $5,000,000

To make maximum profit, 150 computers must be produced

c) The company must produce between 140 and 160 computers to make at least $4,800,000

The equation representing the company's profit is:

y = a(x - 100)(x - 200)  for x > 20

If 120  computers are produced, the profit will be $3,200,000

That is, y = 3,200,000 if x = 120

a) Find the value of a

3,200,000 = a(120 - 100)(120 - 200)

3200000 = -16000a

a = -3200000/1600

a = -2000

b) Maximum profit the company can make

The equation becomes:

y = -2000(x - 100)(x - 200)

y = -2000(x² - 200x - 100x + 20000)

y = -2000(x² - 300x + 20000)

y = -2000x² + 600000x - 40000000

dy/dx = -4000x + 600000

dy/dx = 0 at maximum value

-4000x  +  600000 = 0

4000x  =  600000

x  =  600000/4000

x   =  150

To make maximum profit, 150 computers must be produced

Substitute x = 150 into y = -2000x² + 600000x - 40000000 to find the maximum profit

y  = -2000(150²) + 600000(150) - 40000000

y = 5000000

The maximum profit the company can make = $5,000,000

c) Calculate the range of the number of computers to be produced If the company targets to make at least $4,800,000

-2000x² + 600000x - 40000000 ≥ 4800000

-2000x² + 600000x - 40000000 - 4800000 ≥ 0

-2000x² + 600000x - 44800000 ≥ 0

Divide through by -2000

x² - 300x +22400 ≤ 0

(x - 140)(x - 160) ≤ 0

140 ≤ x ≤ 160

The company must produce between 140 and 160 computers to make at least $4,800,000

Learn more here: https://brainly.com/question/25471478

Answer:

16)  7⁻²

17) -1⁻²

Step-by-step explanation:

plug in the x=, y=, and n= into the equation.

Answer:

172.8

Step-by-step explanation:

72% of 240 is 172.8

You can estimate it by rounding 172.8 to $173

Jules's take $173 for home pay.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

Total earning of Jules's = $240

He take home pay is about 72%.

Now,

Amount for take home pay = 72% of $240

It can be solve as;

72% of $240

72% × 240

72/100 × 240

72/10 × 24

172.8

After estimating we get;

Amount for take home pay = $173

Thus, Jules's take $173 for home pay.

Learn more about the percentage visit:

https://brainly.com/question/548162

#SPJ5

Answer:

He has 31 students

Step-by-step explanation:

You know this because 49.6 ÷ 1.6 = 31

Step-by-step explanation:

from which text book please

Answer:

5/1

Step-by-step explanation:

3.75 + 2.25 = 5

5 = 5/1

Answer:

(20 points!!!)

Alanna is going shopping for Goggles and food.

The cost of Goggles is $15 and the cost of each food item is $5.

If Alanna can spend at most $55, how many food items can be purchased?

Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.

Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

Explain what the solution means in the context of the word problem.

Answer:

130

Step-by-step explanation:

(x - 129) * 129 = 129

x - 129 = 129/129

x - 129 = 1

x = 129 + 1

x = 130

Answer:

x could equal 130 but I'm not sure about this one

Step-by-step explanation:

you take 130-129 which equal 1 then times 1 by 129 and it equals 129... again sorry if it's not right because I'm not entirely sure how to do this I'm pretty sure I did it correct though

Answer:

im pretty sure its 2025

Answer:

2025

Step-by-step explanation:

Answer: Unknown

Step-by-step explanation:

-b+/-√b^2-4ac/2a < plug a b and c into this equation and boom done ez

Answer:

2x² + 2x - 24

Step-by-step explanation:

We can use the FOIL method to multiply the terms together and then find the values in our trinomial. First, the F in FOIL. It stands for first, and we need to multiply the first terms in the two expressions. These terms are 2x and x. Multiplying 2x by x gives us 2x², so that's our first term.

Next, the O in FOIL. It stands for outside, and we need to multiply the terms on the very left and the very right. These are 2x and -3, and multiplying 2x by -3 gives us -6x. That's our second term.

Now, the I in FOIL. It stands for inside, so we need to multiply the terms in the middle of the expressions. Those are 8 and x, and we multiply those together to get 8x. That's our third term.

Finally, the L in FOIL. This stands for last; we need to multiply the last terms of each expression. Those are 8 and -3, and we can multiply those to get -24. Now we can get all our terms added together and simplify as needed.

2x² - 6x + 8x - 24

We can simplify -6x and 8x since they are like terms.

2x² + 2x - 24

And there is our trinomial. Hopefully that's helpful! :)

Answer:

40

Step-by-step explanation:

14 + 12 + 8 + 6 = 40

Answer:

40

Step-by-step explanation:

14+12=26+8=34+6=40

9514 1404 393

Answer:

  y = 0.4^(x+3) -2

Step-by-step explanation:

I have chosen the decay function y=0.4^x as the parent function.

Shifting any function f(x) left 3 and down 2 will transform it to ...

  y = f(x+3) -2

So, the shifted parent function is ...

  y = 0.4^(x+3) -2

9514 1404 393

Answer:

  y = 3

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  [tex]y=\dfrac{x}{2}+9\\\\y=\dfrac{-12}{2}+9=-6+9\\\\\boxed{y=3}[/tex]

Answer:

x=4

Step-by-step explanation:

Four less than the product of a number and 8:

8x−4

is twice the sum of the number and 10, so

8x−4=2(x+10)

Simplify.

8x−4=2x+20

Add 4 to both sides, which is

8x=2x+24

Subtract 2x from both sides:

6x=24

Divide 6 from both sides to isolate the x

x=4

-how I got 20

8x-4=2(x+10) x=8 so 8+10=18 18+2=20

also sorry for posting the answer in the comments and then making an answer after you saw i just wanted da points and hope it helped you :)

Answer:

183.50 feet

Step-by-step explanation:

43*4=172

5.75*2=11.50

172+11.50=183.50

183.50 feet

3x^2 - 3x -90

=3 (x^2 - x -30)

=3 (x^2 −6x+5x−30)

=3(x(x−6)+5(x−6))

=3(x−6)(x+5)

Any value of

x

makes the equation true.

Always true

Interval Notation:

(−∞,∞)

Answer:

A

Step-by-step explanation:

v666

Answer:

-11.8

Step-by-step explanation:

Given:

-3.4 to 12.4        increased  (difference = 15.8)

12.4 to 20.4      decreased (difference = 8)

20.4 to 3.2        increased  (difference = 17.2)

To find:

Final temperature.

Solution:

As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?

Use the difference of the starting result to find the ending result.

3.2 - 15

= -11.8

Therefore, the final temperature is -11.8.

Answer:

300

Step-by-step explanation:

1. 60/4=15

2. 15x20=300

Answer:

4 hours

Step-by-step explanation:

In  6  hours,  J  paints  1  room

So, in  1  hour,  J  paints  1/6 th of the room

Using similar logic, in  1  hour,  T  paints  1/12 th of the room.

Working together in one hour, they paint  (1/6+1/12) th =1/4  of the room.

1/4  of the room is painted in  1  hour

So,  1  room is painted in  1 1/4=4  hours

Answer:

Step-by-step explanation:           1/7

Answer:

327r6

Step-by-step explanation:

Too long, if you really need it, comment on this answer.

Answers:

3x + 40 =64

4x - 6 =26

Step-by-step explanation:

So we are dealing with 2 complementary angles with both add up to 90 degrees. We can write an equation that shows this:

(3x+40) + (4x-6) = 90

Combine like terms

7x + 34 =90

Isolate x

7x = 56

x = 8

Now that we found x, all we have to do is substitute it in the equations:

3x + 40 = ?

3(8) +40 = ?

24+40 = ?

64 = ?

4x - 6 = ?

4(8) - 6 = ?

32 - 6 = ?

26 = ?

Answer:

3x+40= 66

4x-6= 26

Step-by-step explanation:

3x+40+4x-6=90˚ (because the square on the angle represents a 90˚)

Add 4x and 3x

Which is 7x

40 minus 6 is 34

The equation now looks like this:

7x+34=90˚

Subtract 34 on both sides:

7x=56

Divide 7 on both sides:

x=8

For 3x+40

Substitute x with 8

the equation now looks like this:

24+40 Which is 66

For 4x-6

4 times 8 is 32

32 minus 6 which is 26

Hope this helps!

Answer:

39.1 megabytes

Step-by-step explanation:

Percentages are out of a hundred, so 15.7% is 15.7 out of 100, aka 15.7/100, which is 0.157.

Now, you just need to multiple this number by 249 megabytes to get 0.157 * 249 = 39.093 which rounds to 39.1