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AnnyKZ [126]
3 years ago
7

For the functions f(x)=6x2+5x−14 and g(x)=x+2, find (fg)(x) and (fg)(4).

Mathematics
2 answers:
Eduardwww [97]3 years ago
5 0

Answer:

many a number

Step-by-step explanation:

vova2212 [387]3 years ago
5 0

f(g(x)) = f(x+2) = 6(x+2)^2 + 5(x+2) - 14 = 6(x^2 + 4x + 4) + 5x + 10 - 14\\=6x^2 + 24x + 24 + 5x - 4 = 6x^2 + 29x + 20\\f(g(x)) = 6x^2 + 29x + 20\\\\f(g(4)) = 6(4^2) + 29(4) + 20 = 6(16) + 116 + 20 = 96 + 136 = 232\\f(g(4)) = 232

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Thomas puts $1100 into a savings account that earns 4.5% interest compounded monthly. How much money will he have in savings in
mart [117]

Answer:

$1440.23

Step-by-step explanation:

The formula for calculating future value of a sum compounded at specified times =

FV = PV x (1 + r/m)^nm

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P = Present value  

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3 years ago
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequalit
Makovka662 [10]
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3 0
2 years ago
Help math sucks THESE MAKE MY BRAIN DIE​
Flura [38]

Answer:

A ∩ B = {1, 3, 5}

A - B = {2, 4}

Step-by-step explanation:

The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:

A = {1, 2, 3, 4, 5}

B = {1, 3, 5, 6, 9}

One is asked to find the following:

A ∩ B,

A - B

1. Solving problem 1

A ∩ B,

The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,

A ∩ B = {1, 3, 5}

2. Solving problem 2

A - B

Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).

A - B = {2, 4}

3 0
3 years ago
Step by step 6km=x miles
Naya [18.7K]
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3 0
3 years ago
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Travka [436]
Next time, please include the directions for the problem you post.  Here it appears that you have given the values of I, P and t two times each.  
Unfortunately, I have to guess what you're looking for.
 
Assuming that I=$26.25 is the interest earned on Principal P=$500, and that t is the length of time over which the Principal earns interest,

I=Prt.  With I, P and t given, it's obvious that our job is to find the annual interest rate, r.      So, from I=Prt, we get

$26.25 = $500 (r) (1.5 years)            Solve this for the interest rate, r.  
Express r both as a decimal fraction and as the equivalent percentage. 
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4 years ago
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