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
satela [25.4K]
3 years ago
5

Which of the following will form the composite function G(F(x)) shown

Mathematics
1 answer:
Zanzabum3 years ago
8 0

Answer:

f(x) = 2x + 5

g(x) = (x - 6)^2

Step-by-step explanation:

Given

(a) to (d)

Required

Which will give:

f(g(x)) = 2(x - 6)^2 + 5

Equate the expression in bracket to g(x)

g(x) = (x - 6)^2

Replace g(x) with x in: f(g(x)) = 2(x - 6)^2 + 5

f(x) = 2x + 5

You might be interested in
Fill in the blanks to make each equation true.
n200080 [17]

Answer: all true

Step-by-step explanation:

Look at the picture closely ull see it

6 0
3 years ago
Read 2 more answers
What is the mean median and mode of 99, 69, 96, 69, 78. Round to the nearest tenth if necessary
KiRa [710]
A median is the middle number of a data set.
To find it put the numbers in order.
78, 69, 69, 96, 99
Then find the middle number
78, 69, *69,* 96, 99

The median is 69

A mode is the number that appears the most in a set of numbers.
78, *69, 69,* 96, 99

The mode is 69

To find the mean or average of a set of numbers, add all the numbers together then divide by the number of numbers there are.
99+69+96+69+78 = 411
411/5 = 82.2

The mean is 82.2

Hope this helped! If you have anymore questions or don't understand, please comment on my profile or DM me. :)
6 0
3 years ago
What percent of the animals in the image are dogs?
Klio2033 [76]
Math:

7 dogs, 3 cats, 5 birds. In total, there are 15 animals all together.

So ignore the 3 and 5 those are in there to throw you off. To get the percentage, you do 7/15

So you'd get 0.4666667

Answer: 0.467
Rounded Answer: 0.47 (Or 47% B)

5 0
3 years ago
Read 2 more answers
Angle x and 56 are complementary. What is the value of x?<br> 149<br> 34<br> 56<br> 90
Anni [7]

Answer:

34°

Step-by-step explanation:

90-56=34°

__________

5 0
3 years ago
Mathematical induction of 3k-1 ≥ 4k ( 3k = k power of 3 )
tresset_1 [31]

For making mathematical induction, we need:

  • a base case

An n_0 for which the relation holds true

  • the induction step

if its true for n_i, then, is true for n_{i+1}

<h3>base case</h3>

the relationship is not true for 1 or 2

1^3-1 = 0 < 4*1

2^3-1 = 8 -1 = 7 < 4*2 = 8

but, is true for 3

3^3-1 = 27 -1 = 26 > 4*3 = 12

<h3>induction step</h3>

lets say that the relationship is true for n, this is

n^3 -1 \ge 4 n

lets add 4 on each side, this is

n^3 -1 + 4 \ge 4 n + 4

n^3 + 3 \ge 4 (n + 1)

now

(n+1)^3 = n^3 +3 n^2 + 3 n + 1

(n+1)^3 \ge n^3 + 3 n

if n \ge 1 then 3 n \ge 3 , so

(n+1)^3 \ge n^3 + 3 n \ge n^3 + 3

(n+1)^3 \ge  n^3 + 3 \ge 4 (n + 1)

(n+1)^3  \ge 4 (n + 1)

and this is what we were looking for!

So, for any natural equal or greater than 3, the relationship is true.

4 0
3 years ago
Other questions:
  • Use guess and check to find two numbers that have the sum of 8 and a difference of 6.
    10·1 answer
  • Order the group of quadratic functions from widest to narrowest graph. y= -4x2, y = -3x2, y = -5x2
    13·2 answers
  • Are the perimeter and side length of squares proportional? Explain.
    15·1 answer
  • D) Twelve percent of the price of a bike is $64.8. What is the price of a bike?
    8·1 answer
  • What is the perimeter of a square with a side length of 15 inches?
    13·1 answer
  • Select the expression that represents the multiplicative inverse of -4.
    14·1 answer
  • What is the value of p? Please provide an explanation, thanks!
    9·1 answer
  • A recipe calls for 6 eggs to make 48 cake pops. How many eggs will it take to make 80 cake pops?
    11·1 answer
  • Which sentences in the passage are true concerning a function?
    7·1 answer
  • The diameter of a circle is 635 inches.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!