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
Fynjy0 [20]
4 years ago
7

For the functions f(x) = 5x − 3 and g(x) = x + 4, which composition produces the greatest output?

Mathematics
1 answer:
Zina [86]4 years ago
7 0
You could actually find the compositions and thus have something to compare.  You haven't shared the list of possible answer choices.

(f+g)(x) = 5x - 3 + x + 4 = 6x + 1

(f-g)(x) = 5x - 3 - x - 4 = 4x - 7

(f*g)(x) = (5x-3)((x+4) = 5x^2 + 20x - 3x - 12 = 5x^2 + 17x - 12

There are also the quotient (f/g)(x) and the compositions f(g(x)) and g(f(x)).

WRite them out.

Then you could arbitrarily select x values, such as 2, 10, etc., subst. them into each composition and determine which output is greatest.

You might be interested in
Simplify the following expressions.
baherus [9]
1. 36x + 4
2. 30n + 42
3. -24p + 32
4. 24p -28
5. 15m - 30
6. 5x + 45
8 0
3 years ago
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 31 ft long and 20 ft wide. If
forsale [732]
<h3>Answer:</h3>

133 ft

<h3>Step-by-step explanation:</h3>

Given in the question,

length of the rectangle = 31 ft

width of the rectangle= 20 ft

diameter of semicircle = 20 ft

radius of semicircle = 20/2 ft = 10 ft

<h3>Formula to use:</h3>

perimeter of rectangle + perimeter of semicircle

perimeter of rectangle = 2(l+w)

perimeter of semicircle = 1/2(2πr)

<h3>Plug values in the formula above</h3>

2(31 + 20) + 3.14(10)

133.4 ft

≈ 133 ft

8 0
3 years ago
A family spent $65 on dinner and left a 20% tip. What was the total cost of their meal?
Oxana [17]

Answer: B, $78

Step-by-step explanation:

If the tip is 20% of the dinner cost, then we have to first find what is 20% of 65.

20% x 65 = 13. So the tip for the dinner is 13 dollars.

Now we have to add it to the original dinner cost.

65 + 13 = 78.

Therefore, the total cost of their meal is 78 dollars. So the answer is B, $78!

7 0
3 years ago
Read 2 more answers
If a team scored 96 points while making 18 free throws, how many field goals were made?
vlabodo [156]

Answer:

26 free throws

Step-by-step explanation:

96-18=78

78 divided by how much one free throw is worth (3)

you would get 26

hope this helps!

8 0
3 years ago
A bag contains 4 red marbles, 2 blue marbles, 1 purple marble, and 3 green marbles.
STatiana [176]

Answer:

10 outcomes

Step-by-step explanation:

The number of outcomes is the number of marbles in the bag since we are taking out one marble

4+2+1+3 = 10

There are 10 outcomes

7 0
3 years ago
Other questions:
  • What is the range for the graph shown?
    6·2 answers
  • 6x - 5y = 15, x=y+3 what does x and y equal
    10·1 answer
  • -3x+4y=12 and 2x+y=-8. How do you solve this using substitution ?
    10·1 answer
  • Se quiere diseñar la bandera de un colegio el cual debe tener 1 animal, 1 color de fondo y una palabra representativa. La cantid
    8·1 answer
  • Solve for w.<br> 6&gt;9+w.......
    12·1 answer
  • Please help me with questions 11-13 god bless
    10·1 answer
  • What is y= 3/2x+3 y=-3 btw i need the steps not just the answer
    11·1 answer
  • Trevor needs a new bicycle tire. His tire has a circumference of about 113.04 inches. What is the diameter of his tire?
    13·1 answer
  • Ollow the steps below to find the mean for the set of data. Use the work shown to help you.
    11·2 answers
  • A school raised a total of $1,648 to purchase new books. The money raised will be shared equally among 8 different classrooms. W
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!