All categories

3 years ago

Evaluate the function f(x)=x^2+6x+2 at the given values of the independent variable and simplify.

Mathematics

1 answer:

____ [38]3 years ago

6 0

Answer:

a) 18

b)x^2+10x+18

c)x^2 -6x+2

Step-by-step explanation:

This is a case of plugging in the value into f(x).

a) f(-8)= -8^2 + 6(-8) +2

f(-8)= 64 + (-48) +2

f(-8)=64 + (-46)

f(-8)=18

b) f(x+2)= (x+2)^2+6(x+2)+2

So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.

f(x+2)= x^2+4x+4+6x+12+2

I'll reorder it

f(x+2)= x^2+4x+6x+12+2+4

f(x+2)= x^2+10x+18

c) f(-x)= -x^2+6(-x) +2

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

You might be interested in

In a programming team of 20 persons, 1/4 are women and 3/4 are men. to obtain a team with 40% women, how many women should be hi

Savatey [412]

This is the concept of algebra, to solve the question we proceed as follows;
the current number of women is:
1/4*20=5 women
the percentage of women is:
1/4*100=25%
therefore for the team to have 40% women, the number of women should be:
40/25*5
=8 women
The answer is 8 women

3 0

4 years ago

A train moves from rest to a speed of 25 m/s in 30.0 seconds. What is its acceleration?

12345 [234]

Answer:

$a=0.8\bar{3}m/s^2$

Step-by-step explanation:

$a=\frac{v}{t} \\a=\frac{25m/s}{30s}\\ \\a=0.8\bar{3}m/s^2$

6 0

3 years ago

In the state of Pennsylvania, each standard automobile license plate number consists of three letters followed by a four-digit n

Ann [662]

Answer:

17,576,000

Step-by-step explanation:

From A to Z, there are 26 possible letter characters (L).

From 0 to 9, there are 10 possible numeric characters (N)

If each standard automobile license plate number in Pennsylvania follows the pattern LLLNNNN, the number of license plates that can be formed is:

$n=26*26*26*10*10*10*10\\n=17,576,000$

17,576,000 distinct license plate numbers can be formed in Pennsylvania.

8 0

3 years ago

I don't understand these I need help

kozerog [31]

F(x) . g(x) means that you have to multiply both functions.

This is how you do it:

$\frac{4x^2 + 6}{2}. \frac{3}{2x^2+3} = \frac{2(2x^2+3).3}{2.(2x^2+3)}= 3$

Note that I have simplified the expressions that are common in the numerator and denominator.

Answer: option D. 3

4 0

3 years ago

Use the following cell phone airport data speeds (Mbps) from a particular network. Find Qg.

WARRIOR [948]

Answer:

15.5 is The internet aceleration

3 0

3 years ago