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
All that make this true i need help
9966 [12]

Answer:

D and E

Step-by-step explanation:

3(23+18)=123

6(18)=108.  6(19)=114.  6(20)=120.  6(22)=132.  6(24)=144

5 0
3 years ago
Factor -3x - 3y - 3z.<br> 3(-x – y + z)<br> 3(x - y - z)<br> -3(x + y + z)<br> -3(x - y - z)
abruzzese [7]
3rd option is the correct answer 
8 0
3 years ago
Read 2 more answers
PLS HELP ««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««««
Kamila [148]

Answer:

x-intercept (2,0) or x=2

y-intercept (0,-4)  or y=-4

Step-by-step explanation:

4x-2y>8

2x-y>4

2x-4>y

y<2x-4

y=2x-4

when y=0

2x=4

x=2

x-intercept is (2,0)

and y-intercept is (0,-4)

put x=0,y=0

0-0>8

or 0>8 which is not true. so (0,0) does not lie on the graph.

so graph lies  right of the line .

7 0
3 years ago
I want a expert or someone that can tell me this %100 I’m offering a brainalist + 20 points
Fed [463]

Answer:

The answer is A

Step-by-step explanation:

Supplementary angles are angles which add up to 180°

∠1 and ∠3 add up to 180°, so they are supplementary.

5 0
3 years ago
Read 2 more answers
What is the perimeter of this pentagon?
exis [7]

Answer:

the perimeter of the Pentagon is 2.75cm

Step-by-step explanation:

add each side together in decimal form

8 0
3 years ago
Other questions:
  • Solve <br> 2x+y=7 for y<br><br> y=[]
    9·2 answers
  • How do I do this I need help
    10·1 answer
  • a brother is 12 years older than his sister. four years ago, the brother was 3 times as old as the sister is now. how old is the
    9·2 answers
  • The perimeter of a rectangle is 140 ya minus the width. The length of the rectangle is twice the width. Find length and width
    8·1 answer
  • X=2y - 15<br> y= -2x<br> x=2(-2x) - 15<br><br> what’s x?
    9·2 answers
  • Simplify.<br><br> 15 – (–3) – 4<br><br> –16<br><br> –8<br><br> 14<br><br> 22
    11·1 answer
  • Help me asap, help asap, please
    6·1 answer
  • An = n2- 5
    11·1 answer
  • Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
    7·1 answer
  • . Gemma plans to run 5 miles her first week and increase the amount she runs each week by 20% Which of the following is closest
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!