Question

PLEASE HELP!! (fan+medal)

Two functions are shown in the table below.


Function 1 2 3 4 5 6
f(x) = −x2 + 4x + 12
g(x) = −x + 6


Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).

Answer 1

x = 2
x = 3
x = 5
x = 6

Answer 2

@pooja195 @TheSmartOne @texaschic101 @HelpABoiOut

Answer 3

ok that was wrong \[f(x)=-x^2+4x+12\\
f(1)=1^2+4\times 1+12=15\]

Answer 4

\[g(x)=-x+6\\
g(1)=-1+6=5\]

Answer 5

Oh I understand what you did there

Answer 6

you gotta repeat this for 2, 3, 4, 5 and 6

Answer 7

I think it is x=3 am I right?

Answer 8

\[f(x)=-x^2+4x+12\\
f(2)=-2^2+4\times 2+12=16\]

Answer 9

oh you mean for where they are equal?

Answer 10

wait so f(x) has to be the same as g(x) and that would be the answer?

Answer 11

yes but they are not the same when \(x=3\)

Answer 12

Oh

Answer 13

I know it is not 5 because I just did it with 5

Answer 14

So it is 2 or 6

Answer 15

\[g(3)=3\\
f(3)=15\] not equal

Answer 16

Yeah I messed up

Answer 17

f(2) = 24

Answer 18

g(2) = 4

Answer 19

you are making some sort of error computing \(f(x)\)

Answer 20

\[f(2)=-2^2+4\times 2+12\]

Answer 21

i see the error

Answer 22

\[-2^2=-2\times 2=-4\] not \((-2)^2=4\)

Answer 23

Ooooh

Answer 24

so \[f(2)=-2^2+4\times 2+12=-4+8+12=16\]

Answer 25

still not equal to \(g(2)=4\) though `

Answer 26

then it has to be x=6

Answer 27

f(6) = 0

Answer 28

g(6) = 0

Answer 29

bingo

Answer 30

wool thank you soooo much

Answer 31

yw

Answer 32

can you help me with another one?

Answer 33

sure if it is quick

Answer 34

I will leave testimonial fan and medal :)

Answer 35

The first-, second-, and third-year enrollment values for a technical school are shown in the table below.

Enrollment at a Technical School
Year (x) First Year f(x) Second Year s(x) Third Year t(x)
2009 785 756 756
2010 740 785 740
2011 690 710 781
2012 732 732 710
2013 781 755 800


Which of the following statements is true based on the data in the table?
The solution to f(x) = s(x) is x = 2,009.
The solution to f(x) = s(x) is x = 785.
The solution to f(x) = t(x) is x = 2,010.
The solution to f(x) = t(x) is x = 740.

Answer 36

this one is quick

Answer 37

if i read the table correctly they are the same in the year 2012 , first and second aer both 732

Answer 38

oh but that is not an option is it?q

Answer 39

first is equal to the third in 2010

Answer 40

so go with option C

Answer 41

Oh I get it!!! thank you

Answer 42

Last one?

Answer 43

you got 3 minutes

Answer 44

ok

Answer 45

and this one will cost $12

Answer 46

A graph of 2 functions is shown below.

graph of function f of x equals 2 multiplied by x plus 1 and graph of function g of x equals x cubed plus 2 multiplied by x squared minus x minus 2

Which of the following is an approximate solution for f(x) = g(x)?

x = −2
x = 0
x = −1
x = 1

Answer 47

Oh so never mind

Answer 48

But thank you

Answer 49

just kidding

Answer 50

lol I was like pellettt

Answer 51

\[f(x)=2x+1\\
g(x)=x^3+2x^2-x-2\] like that?

Answer 52

you are looking for the x value of the points where the line and the curve intersect

Answer 53

I guess, I don't understand things with graphs

Answer 54

the one on the left, i would say the x value is about \(-2.5\)

Answer 55

you see where they cross right?

Answer 56

-1

Answer 57

yes they also cross close to \(x=-1\)

Answer 58

and again at about \(x=1.5\) or so

Answer 59

but only \(-1\) is an option, so go with that one

Answer 60

Ok thank you again!!

Answer 61

yw (again)