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3 years ago

Use the functions f(x) = 4x² + 3 and g(x) = 3x + 2 to evaluate the following.

Mathematics

2 answers:

natita [175]3 years ago

7 0

Answer:

Step-by-step explanation:

f(-2)= 4(-2)^2 + 3 = 4(4) + 3 = 16 + 3 = 19

g(19) = 3(19) + 2 = 57 + 2 = 59

g(-2)= 3(-2) + 2 = -6 + 2 = -4

f(-4)= 4(-4)^2 + 3 = 64 + 3 = 67

inessss [21]3 years ago

3 0

Answer:

Step-by-step explanation:

f(x) = 4x² + 3

g(x) = 3x + 2

1. g (f(-2)) =

f(-2) = 4(-2)² + 3

= 4(4) + 3 = 19

g(f(-2)) = g(19) = 3(19) + 1 = 57 + 1 = 58

2. f(g(-2)) =

g(-2) = 3(-2) + 2

= -6 + 2 = -4

f(g(-2)) = f(-4) = 4 (-4)² + 3 = 4(16) + 3 = 64 + 3 = 67

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Write the terms a 1a1, a 2a2, a 3a3, and a 4a4 of the following sequence. If the sequence appears to converge, make a conjec

Arturiano [62]

Answer:

Step-by-step explanation:

WE are given that $a_n = \frac{(-1)^{n+1}}{5n-4}$ . Then, to now the first for terms, we must replace n by 1,2,3,4 respectively. Then

$a_1 = \frac{(-1)^2}{5(1)-4} = \frac{1}{1}= 1$

$a_2 = \frac{(-1)^3}{5(2)-4} = \frac{-1}{6}$

$a_3 = \frac{(-1)^4}{5(3)-4} = \frac{1}{11}= 1$

$a_4 = \frac{(-1)^5}{5(4)-4} = \frac{-1}{16}= 1$

Note that as n increase, $a_n$ gets closer to 0. So, the limit of this sequence is 0.

6 0

3 years ago

2/3 – 2/6<br> write answer as a fraction

lisabon 2012 [21]

Answer:

It's 1/3

Step-by-step explanation:

2/6 is equivalent to 1/3, so you can rewrite the question as 2/3 - 1/3.

5 0

3 years ago

Read 2 more answers

Let f(x) = 5x – 3 and g(x) = -2x + 7. Find f(x) + g(x).

notka56 [123]

f(x) + g(x) = 5x - 3 - 2x + 7

= 3x + 4

Hope this helps! If you have any questions, feel free to ask.

5 0

3 years ago

Someone help lolz..

Mkey [24]

The answer is y =-4 !

6 0

3 years ago

Type the correct answer in the box. Use numerals instead of words. The height of a baseball, in feet, is represented by this exp

Rudiy27

Answer:

31 feet.

Step-by-step explanation:

It is mentioned in the question that

Height of baseball expressed in feet

T = time in seconds

Also

$h= -16t^2+64t+3$

Now the time is 3.5 so put this value to the above equation

h = -16(3.5)^2 + 64(3.5) + 3

= -16(2.25) + 224 + 3

= -196 + 227

= 31

Therefore the height of a baseball is 31 feet and the same is to be considered

7 0

3 years ago