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
sergejj [24]
3 years ago
9

Given f(x) =3x-7, find f(x+1)+f(1)

Mathematics
1 answer:
ELEN [110]3 years ago
3 0

Answer:

3x - 8

Step-by-step explanation:

To find f(x + 1) substitute x = x + 1 into f(x)

f(x + 1) = 3(x + 1) - 7 = 3x + 3 - 7 = 3x - 4

Similarly

f(1) = 3(1) - 7 = 3 - 7 = - 4

Hence

f(x + 1) + f(1) = 3x - 4 - 4 = 3x - 8

You might be interested in
The measure of the angles of triangle ABC are given by the expressions in the table.
Kryger [21]

Answer:

x = 20

B = 92

C = 40

Step-by-step explanation:

The three angles of a triangle add to 180 degrees

A+B+C = 180

48+6x-28+2x = 180

Combine like terms

20+8x =180

Subtract 20 from each side

20+8x-20 = 180-20

8x = 160

Divide each side by 8

8x/8 = 160/8

x = 20

Then we need to find angle B

B = 6x-28 = 6(20)-28 = 120-28 =92

Then we need to find angle C

C = 2x = 2(20) = 40

6 0
3 years ago
Read 2 more answers
Thnx for the last one❤️❤️
malfutka [58]

Answer:

No Problem

Step-by-step explanation:

5 0
2 years ago
A large square carpet is initially x inches long and x inches wide.
ddd [48]
(x - 10) × 2
You have to multiply it by 2 so that you get the area
5 0
3 years ago
Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive
Ivan

Answer:

(a) The average cost function is \bar{C}(x)=95+\frac{230000}{x}

(b) The marginal average cost function is \bar{C}'(x)=-\frac{230000}{x^2}

(c) The average cost approaches to 95 if the production level is very high.

Step-by-step explanation:

(a) Suppose C(x) is a total cost function. Then the average cost function, denoted by \bar{C}(x), is

\frac{C(x)}{x}

We know that the total cost for making x units of their Senior Executive model is given by the function

C(x) = 95x + 230000

The average cost function is

\bar{C}(x)=\frac{C(x)}{x}=\frac{95x + 230000}{x} \\\bar{C}(x)=95+\frac{230000}{x}

(b) The derivative \bar{C}'(x) of the average cost function, called the marginal average cost function, measures the rate of change of the average cost function with respect to the number of units produced.

The marginal average cost function is

\bar{C}'(x)=\frac{d}{dx}\left(95+\frac{230000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g\\\\\frac{d}{dx}\left(95\right)+\frac{d}{dx}\left(\frac{230000}{x}\right)\\\\\bar{C}'(x)=-\frac{230000}{x^2}

(c) The average cost approaches to 95 if the production level is very high.

\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})\\\\\lim _{x\to a}\left[f\left(x\right)\pm g\left(x\right)\right]=\lim _{x\to a}f\left(x\right)\pm \lim _{x\to a}g\left(x\right)\\\\=\lim _{x\to \infty \:}\left(95\right)+\lim _{x\to \infty \:}\left(\frac{230000}{x}\right)\\\\\lim _{x\to a}c=c\\\lim _{x\to \infty \:}\left(95\right)=95\\\\\mathrm{Apply\:Infinity\:Property:}\:\lim _{x\to \infty }\left(\frac{c}{x^a}\right)=0\\\lim_{x \to \infty} (\frac{230000}{x} )=0

\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})= 95

6 0
3 years ago
Answer? Please help quickly
lozanna [386]
The answer is A. See the photo below:

6 0
2 years ago
Other questions:
  • A 5 lb. bag of potatoes this week is $3.50. Last week, it cost $2.75.
    14·1 answer
  • Which statement about rigid transformations is true?. . A rigid transformation preserves only the side lengths of a polygon.. .
    10·2 answers
  • How do you do geometry proofs
    10·1 answer
  • An electrician has 4.1 meters of wire. How many strips of 7/10 meter long can he cut?
    14·1 answer
  • 25 fewer than twice a number?
    15·2 answers
  • What number is 100, 000, 000 more then 5, 438, 724, 022?
    7·1 answer
  • What is the result of 3 divied 3/5
    5·1 answer
  • There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. What is the ratio of boys to girls ?
    12·2 answers
  • Plsssss help.
    7·1 answer
  • How much should you invest in an account that pays 6% annual interest compounded continuously if you want exactly $8000 after fo
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!