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
Law Incorporation [45]
3 years ago
10

the function f(x)= x+3 represents the length of a rectangle. the function g(x)=12x-5 represents the width of the rectangle. use

(f • g)(3) to determine the area of the rectangle.
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0

Answer:

(f • g)(3) = 186

Step-by-step explanation:

The area of a rectangle is (length)(width).

Here, (length) = x + 3 and (width) = 12x - 5, and so the area as a function of x is

(f • g)(x) = (x + 3)(12x - 5) = 12x^2 - 5x + 36x - 15.

This simplifies to:

(f • g)(x) = (x + 3)(12x - 5) = 12x^2 + 31x - 15.

Evaluating this function at x = 3, as instructed, we get:

 (f • g)(3) = (12)( - 5) = 12(3)^2 + 31(3) - 15.

Carrying out the indicated operations, we get:  108 + 93 - 15, or

(f • g)(3) = 186

You might be interested in
Jane has 312 feet of fencing to use to enclose a rectangular garden. She wants the garden to be 5 times as long as it is wide. W
VashaNatasha [74]
Length is 130 ft. and width is 26 ft.
3 0
3 years ago
6. Examine the prism shown below.
bulgar [2K]
It may be can be number 1 (a)
8 0
2 years ago
3 examples of proportion in real life ?
mars1129 [50]

Answer:

Proportion of games an NFL team wins.

Proportion of defective products in a shipment.

Proportion of voters of a certain candidate in an election.

Step-by-step explanation:

Proportion is a relationship between measures.

Examples in real life are:

Proportion of games an NFL team wins.

For example, this past regular season, the Buffalo Bills won 13 games out of 16, so the proportion of games won by the Bills is 13/16 = 0.8125.

Other possible examples are:

Proportion of defective products in a shipment.

Proportion of voters of a certain candidate in an election.

...

7 0
3 years ago
Choose the unit that measures distance
Anna11 [10]

Answer:

Feet

Step-by-step explanation:

8 0
2 years ago
Which of the following represents an equation of a line parallel to one whose equation is 2x + 8x = 18
Naya [18.7K]

Answer:

y=-4x+3

Step-by-step explanation:

it does not show the equations that are following

but the main thing you need to know is that when two lines are parallel they have the same slope

and do you mean 2x+8y=18 not x?

edit:

answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9

2y+8x=18

first change that equation to slope intercept form to find the slope

2y = -8x+18 -> y = -4x+9

slope is -4

so the answer is y=-4x+3 because it also has a slope of -4

5 0
3 years ago
Other questions:
  • Graph the line 2x + y = 7.
    10·2 answers
  • Barbara is planning a party . she invited some school friends and 2 times as many friends from her swimming club as school frien
    11·1 answer
  • 7+ (-5)+(-2)=0<br> 7+ (5)+(2)=0<br> 7+(-4)+(-3)=0<br> 7+(-6)+(-1)=0
    8·2 answers
  • I need help with the circled table
    14·2 answers
  • (4x + 2y – 62) + (5y – 2 + 7x)+(-92 – 27 – 3y)
    8·1 answer
  • ......i need help please..........​
    10·2 answers
  • What did the lady say about her brain surgeon
    14·1 answer
  • Equivalent expression 5(2)=
    9·1 answer
  • What is the equation of a line perpendicular to y=-3/2x+9
    9·1 answer
  • Which of the following numbers has the greatest value?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!