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
Shtirlitz [24]
3 years ago
6

The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic fee

t and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day.
Mathematics
2 answers:
Anna11 [10]3 years ago
6 0

Answer:

C(x) = 4x³ + 7x² − 14x - 6

Step-by-step explanation:

In a shorter day the water used by the car wash is computed as the difference between the original usage and the decrease, that is:

C(x) = W(x) - D(x)

Replacing with data:

C(x) = 5x³ + 9x² − 14x + 9 - (x³ + 2x² + 15)

C(x) = 5x³ + 9x² − 14x + 9 - x³ - 2x² - 15

C(x) = (5-1)x³ + (9-2)x² − 14x + (9-15)

C(x) = 4x³ + 7x² − 14x - 6

Mashutka [201]3 years ago
5 0

C(x) = 4x³+7x²-14x-6

Step-by-step explanation:

Given that the amount of water used in normal days is given by the equation;

W(x) = 5x³ +9x²-14x +9 -----(i)

The amount of decrease in water used is modeled by the equation;

D(x)= x³+2x² +15--------(ii)

To get the function C(x) that models the water used by the car wash on shorter day you subtract equation (ii) from equation(i)

 5x³ +9x²-14x +9

-  x³+2x² +15

-------------------------

4x³+7x²-14x-6

Learn More

Subtraction in polynomials : brainly.com/question/2273346

Keywords : equation, modeled,

#LearnwithBrainly

You might be interested in
A circle has radius 50 cm. Which of these is closest to its area?
olga55 [171]

Answer:

7854 cm²

Step-by-step explanation:

3.14 x 50² = 7850

4 0
2 years ago
Write an equation in slope intercept form for the line with slope of 1/5 and y-intercept -8
AlladinOne [14]

Answer:

y = (1/5)x - 8

Step-by-step explanation:

It's slope-intercept form y=mx+b and we just substitute m=1/5, b= -8.

8 0
3 years ago
Read 2 more answers
hue Lake Trail is 1 miles has hiked miles each hour for How far is she from the end of the an 7.3) o
KonstantinChe [14]
Gemma was hiking for 2 1/2 a hour for 3 hours so u have to multiply 2.5 by 3 and that gonna equal 7.5 so u leave that alone and come back to it later so u get 11 3/8 minus 7.5 and it gonna equal 3 7/8 and I hope that helped you
3 0
3 years ago
Which graph represents a function with direct variation?<br><br>​
sweet [91]

This is easier than you think!

When a graph shows direct variation, it always <em>passes through the origin</em>

The origin is (0, 0)

The very <u>center! </u>

Your answer is the first graph!

5 0
3 years ago
Read 2 more answers
How to solve this problem <br><br>.         0.3 [1.57 – (0.6)²]
love history [14]
Well (1.57- 0.6 X 0.6) x 0.3 = 0.363
3 0
3 years ago
Read 2 more answers
Other questions:
  • Help me please answer correctly!!!
    6·2 answers
  • -8 1/6 into decimal form
    12·2 answers
  • A bag of 28 tulip bulbs contain 10 red tulip bulbs, 12 yellow tulip bulbs, and 6 purple tulip bulbs. What is the probability tha
    6·1 answer
  • Five standard six-sided dice are rolled. What is the probability that at least three of them show a 6?
    7·1 answer
  • 91 more than the square of a number
    15·1 answer
  • Bette had 280 kilograms of bolts and put the same amount into each of 8 boxes. How
    7·1 answer
  • Name two pairs of pallel lines in the figure
    15·2 answers
  • A fence post is 12 feet tall. A chain is attached to the top of the fence post and fastened to the ground 9 feet from the base o
    7·2 answers
  • Help! Question and choices in the picture.​
    13·1 answer
  • PLS HELP (30 points)<br> Can you answer this Q???
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!