1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marissa [1.9K]
3 years ago
8

−3(2.5−k)+0.5(7+8k) simplified please help

Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0

Answer:

7k−4

Step-by-step explanation:

You might be interested in
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Three h
neonofarm [45]

Answer:

  • 50 ft by 75 ft
  • 3750 square feet

Step-by-step explanation:

Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...

  y = (300 -2x)/3

And the enclosed area is ...

  A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)

This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.

The maximum area is enclosed when the dimensions are ...

  50 ft by 75 ft

That maximum area is 3750 square feet.

_____

<em>Comment on the solution</em>

The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).

6 0
3 years ago
which expression represents the distance between the two points x and y on the number line -4 and 3
Alika [10]
It would have to be 3 because distance can't be a negative number.
4 0
3 years ago
Read 2 more answers
Number 5 please help me​
Vesna [10]

Answer:

I think C or D

Step-by-step explanation:

3 0
3 years ago
If
Nitella [24]

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

<h3>How to find the production level that'll maximize profit?</h3>

The cost function, C(x) is given by 12000 + 400x − 2.6x² + 0.004x³ while the demand function, P(x) is given by 1600 − 8x.

Next, we would differentiate the cost function, C(x) to derive the marginal cost:

C(x) = 12000 + 400x − 2.6x² + 0.004x³

C'(x) = 400 − 5.2x + 0.012x².

Also, revenue, R(x) = x × P(x)

Revenue, R(x) = x(1600 − 8x)

Revenue, R(x) = 1600x − 8x²

Next, we would differentiate the revenue function to derive the marginal revenue:

R'(x) = 1600 - 8x

At maximum profit, the marginal revenue is equal to the marginal cost:

1600 - 8x = 400 − 5.2x + 0.012x

1600 - 8x - 400 + 5.2x - 0.012x² = 0

1200 - 2.8x - 0.012x² = 0

0.012x² + 2.8x - 1200 = 0

Solving by using the quadratic equation, we have:

x = 220.40 or x = -453.73.

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

Read more on maximized profit here: brainly.com/question/13800671

#SPJ1

6 0
2 years ago
What is the distance around a triangle that has sides measuring 2 1/8, 3 1/2, and 2 1/2 feet?
Mashcka [7]
Perimeter = 2 1/8 + 3 1/2 + 2 1/2 = 7 (1 + 4 + 4)/8 = 7 9/8 = 8 1/8
3 0
3 years ago
Other questions:
  • Every day, about 140{,}000{,}000140,000,000140, comma, 000, comma, 000 plastic water bottles are bought in the United States. Ea
    14·1 answer
  • Given the two expressions shown below:
    6·1 answer
  • Find the difference 18-15
    14·2 answers
  • Which type of transformation creates a similar but NOT congruent shape. A. reflection B. translation C. dilation D. rotation
    15·1 answer
  • Am I the only one here that is having a huge problem with Geometry?
    6·1 answer
  • elise bought a video game for $65.00. if the store charged 150% of what it paid for the game, how much is the store’s profit?
    13·2 answers
  • Which ordered pair is a solution to the equation y+1=3(x-4)
    9·1 answer
  • Jim is twice Sharon's age together their ages add up to 27. how old is each person?​
    10·2 answers
  • 2.
    7·1 answer
  • A website sells a dress at £20 and shoes at £25. The website has an offer: Buy a dress and shoes together and get 1 3 off the pr
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!