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
Tanzania [10]
4 years ago
11

Let f(x) = x^2+x+2 and g(x) = 2x^2+5. Find f(g(x)). Show each step of your work.

Mathematics
1 answer:
maxonik [38]4 years ago
8 0
f(g(x))=f(2x^2+5)\\f(2x^2+5)=(2x^2+5)^2+(2x^2+5)+2\\f(2x^2+5)=(4x^4+20x^2+25)+2x^2+7\\f(2x^2+5)=4x^4+22x^2+32

4x^4+22x^2+32
You might be interested in
The missing exponent of the y-term must be ____? PLEASE HELP
a_sh-v [17]

Answer:

what is y term??

Step-by-step explanation:

hope it helps

7 0
3 years ago
Prove that an integer consisting of 3n ones is divisible by 3n (e.g. 111 is divisible by 3, 111,111,111 is divisible by 9, etc.)
mote1985 [20]

For proof of 3 divisibility, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.

<h3>Integers divisible by 3</h3>

The proof for divisibility of 3 implies that an integer is divisible by 3 if the sum of the digits is a multiple of 3.

<h3>Proof for the divisibility</h3>

111 = 1 + 1 + 1 = 3  (the sum is multiple of 3 = 3 x 1)  (111/3 = 37)

222 = 2 + 2 + 2 = 6 (the sum is multiple of 3 = 3 x 2)  (222/3 = 74)

213 = 2 + 1 + 3 = 6 ( (the sum is multiple of 3 = 3 x 2)  (213/3 = 71)

27 = 2 + 7 = 9  (the sum is multiple of 3 = 3 x 3)  (27/3 = 9)

Thus, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.

Learn more about divisibility here: brainly.com/question/9462805

#SPJ1

5 0
2 years ago
Which is the simplified form of the expression?
Anon25 [30]

Given:

Consider the given expression is:

10n-\dfrac{1}{3}(9n-12)

To find:

The simplified form of the given expression.

Solution:

We have,

10n-\dfrac{1}{3}(9n-12)

Using distributive property, it can be written as:

=10n-\dfrac{1}{3}(9n)-\dfrac{1}{3}(-12)

=10n-3n+4

=7n+4

Therefore, the correct option is A.

4 0
3 years ago
$150 dinner; 18% tip
Whitepunk [10]

Answer:

27

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use the remainder theorem to divide 5x^2+9x-2 by x+3. What is the remainder
marishachu [46]

Answer:

16

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

       =5(9) - 27 -2

       = 45-29

        = 16 !

7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the measurement of angle g.
    10·1 answer
  • The graph of sqrt of x has symmetry but the graph of - square root x does not true or false
    5·1 answer
  • 15 paperclips or equal size weigh 2 grams altogether. Is the number of paperclips proportional to their weight?
    13·1 answer
  • Ginger practices daily for the upcoming
    12·1 answer
  • I need help rn please it would mean a lot and explain in standard form
    5·1 answer
  • Chrissy went to the grocery store Thursday night and spent $22.54. She paid
    5·1 answer
  • Round 6.071981 to 3 significant figures
    9·1 answer
  • I just need to say some to y'all
    12·1 answer
  • the daughter is 36 years younger than her mother. How many yrs ago was the mother 5 times the daughter age,if she iss 50 yrs old
    12·1 answer
  • The bar graph below displays students’ responses to the question "What caffeinated drinks do you consume?” A bar graph titled Ca
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!