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Lorico [155]
3 years ago
13

If f(x) = x2 and g(x)= 3x + 1, which expression represents g(f(x))?

Mathematics
1 answer:
Romashka [77]3 years ago
6 0

Answer:

g(f(x)) =3(x2)+1

Step-by-step explanation:

g(f(x)) means substitute f(x) in the eqn g(x)

That is anywhere you see x2, use it to replace x in the eqn g(x)

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Find the 7th term of the expansion of (3c + 2d)^9.
defon

Answer:

c

Step-by-step explanation:

Using Pascal's triangle, the expansion, although EXTREMELY lengthy, will help you find the 7th term.  I am going to type out the expansion only up til the 7th term (although there are actually 10 terms because we are raised to the power of 9).  If you would like to learn how to use Pascal's Triangle for binomial expansion, you will need to visit a good website that explains it because it's just too difficult to do it via this website.

The expasion is as follows (up to the 7th term):

1(3c)^{9} +9(3c)^{8}(2d)^{1} +36(3c)^{7}(2d)^{2} +84(3c)^6(2d)^3+126(3c)^5(2d)^4+126(3c)^4(2d)^5+84(3c)^3(2d)^6

That last term is the 7th term.  You find out its value by multiplying all the numbers together and adding on the c^3d^6.  Again those come from Pascal's triangle, and it's one of the coolest math things ever.  I encourage you to take the time to explore how it works.

5 0
3 years ago
Find the solution for the system of linear equations by substitution: 2x - y = 3 y − x = 1
Leviafan [203]

The solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x- y = 3

y - x = 1

Make y the subject in the second equation, by adding x to both sides of the equation

y - x + x = x + 1

This gives

y = x + 1

Substitute y = x + 1 in 2x- y = 3

2x- x - 1 = 3

Evaluate the like terms

x = 4

Substitute x = 4 in y = x + 1

y = 4 + 1

Evaluate

y = 5

Hence, the solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

Read more about system of linear equations at

brainly.com/question/14323743

#SPJ1

7 0
1 year ago
What is the measurement of angle R
Reika [66]
The angle is going to be a 65° angle
6 0
3 years ago
Which of the following should be avoided when proving a trigonometric identity?
White raven [17]

Answer:

cosine

Step-by-step explanation:

fundamental trigonometric identities

7 0
3 years ago
The equation T^2=A^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A
Sergio039 [100]
The answer for your question is going to be. 2^((3)/(2)) I know this cause I just took a quiz with this question on it
8 0
3 years ago
Read 2 more answers
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