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
stira [4]
3 years ago
10

If f(x) = 2x -1 and g(x) x^ - 3x -2, find (f + g)(x)

Mathematics
1 answer:
Tems11 [23]3 years ago
6 0

Answer:

1 + 1 = 3!tep-by-step explanation:

You might be interested in
A manufacturer has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $10 rebate off
Slav-nsk [51]

Answer:

a) P(x) = 550 - x/10

b) $175

c) $100

Step-by-step explanation:

Number of television sold per week = 1000

The selling price for each = $450

a) If $10 rebate offered to the buyer increases the sale by 100 per week, the price will decrease by

1/100*10 = 1/10 per unit

Let X be the number of television sold per week

The increase in number sold per week = x - 1000

P(x) = 450 - 1/10(x-1000)

P(x) = 450 - x/10 + 100

= 550 - x/10

The demand function is

P(x) = 550 - x/10

b) Let R(x) be the revenue

R(x) = xP(x)

= x[550 - x/10]

= 550x - x^2/10

Differentiate R(x) with respect to x

R'(x) = 550 - 2x/10

= 550 - x/5

R'(x) is the marginal revenue

The revenue is maximized when R'(x) = 0

550 - x/5 = 0

550 = x/5

x = 550*5

x = 2750

Recall that P(x) = 550 - x/10

Put x= 2750

P(2750) = 550 - 2750/10

= 550 - 275

= 275

The rebate to maximize the revenue will be 450 - 275 = $175

c) C(x) = 74000 + 150x

P(x) = R(x) - C(x)

P(x) = 550x - x^2/10 - (74000 + 150x)

= 550x - x^2/10 - 74000 - 150x

Collect like terms

P(x) = 550x - 150x - x^2/10 - 74000

= 400x - x^2/10 - 74000

Differentiate P(x) with respect to x

P'(x) = 400 - 2x/10

= 400 - x/5

P'(x) is the marginal profit.

The profit is maximum when P'(x) = 0

400 - x/5 = 0

400 = x/5

x = 400*5

x = 2000

Recall that P(x) = 550 - x/10

P(2000) = 550 - 2000/10

= 550 - 200

= 350

The rebate to maximize the revenue = 450 - 350

= $100

4 0
3 years ago
Decimals, fractions, and percents can all represent the same values.<br><br> True <br><br> False
frozen [14]

The given statement that, decimal, fraction, and percent can all represent the same values is True.

Verification of the True Statement:

The ratio of two numbers results in a fraction which are often rational numbers (often integers). As an illustration, 11/59 is a fraction. Typically, absolute values for fractions should be larger than 0 and less than 1. A mixed fraction equivalent to 1 3/4 is 7/4.

A fraction stated in tenths are known as a decimal (or tenths of tenths, etc.). The decimal equivalent of one fourth, or 1/4 as a fraction, is 0.25 (which equals 25/100). (Remember that 1/100 is just a tenth of a tenth.)

Percentage (percent) is a decimal fraction multiplied by 100. Therefore, 0.25 is equivalent to 25 percent, for instance. The ratio of two numbers results in fractions, which are often rational numbers (often integers).

Let us take a number 3/5, this is a fraction.

Now, if we further divide, 3 by 5, we will get 0.6

This 0.6 is a decimal number, but it still represents the number 3/5

Similarly, it is equivalent to 60 percent which again represent the fraction 3/5 or decimal 0.6.

Learn more about a fraction here:

brainly.com/question/10354322

#SPJ1

7 0
1 year ago
A local band is holding a concert. The price of a ticket to the concert is $15. The band must sell enough tickets to cover at le
Kamila [148]
15x is greater than or equal to 525

the answer is X is greater than or equal to 35
5 0
3 years ago
How far does the peguin walk in 45 seconds
lesantik [10]

Answer:

Step-by-step explanation:

He does not walk at all if he's swimming.

8 0
2 years ago
Read 2 more answers
Write the equation of the line in slope-intercept form using y=mx+b​
adelina 88 [10]

Answer:

y = 1/2x+2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Scientific notation of 53010000
    7·1 answer
  • Find the value of the variable
    10·1 answer
  • 7m or 7.7 m which is more precise?
    11·1 answer
  • How do you round 65.0798 to the nearest tenth.
    8·2 answers
  • Marcus collected 5 fewer rocks then Esha.
    7·2 answers
  • What is the value of -6+-3-(-18)
    6·2 answers
  • Solve for m:<br> M<br> _ - 23 = 109<br> 6
    6·1 answer
  • Solve for x and y if: <br> {6x - 11y=-58 8x+y=1
    10·1 answer
  • The coldest temperature ever recorded in Nome, Alaska, is -54°F. The average temperature in Nome during the Serum Run was 34° wa
    5·1 answer
  • Write one statistical question (your data needs to have variability), that you could ask the students in your class that would r
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!