Question

Please help!!

Answer 1

@Mehek14

Answer 2

first is x^(1/2) - yes ?

Answer 3

sqrt x = x^1/2

so next term = x^(1/2 * 3/4)

Answer 4

the second what will be ?

Answer 5

third term = x^(1/2*3/4 * 3/4)

Answer 6

x^3/8

Answer 7

that is correct fro the second term

Answer 8

x^9/32

Answer 9

yes this is the 3rd

Answer 10

yes

Answer 11

yes x^(9/32) is the third term

Answer 12

good job

Answer 13

Could you help with one more question jhonyy?

Answer 14

yes sure

Answer 15

@anthonyym

Answer 16

Ok to get f(0) you simply plug 0 in as x and solve.

Answer 17

-7

Answer 18

@anthonyym

Answer 19

Yes that's correct. Now compare that to what y equals in the graph. When x is 0, what is y in the graph?

Answer 20

In other words, where does the graph intersect x=0? That is where y is.

Answer 21

10

Answer 22

Really? Nothing crosses (0,10).

Answer 23

I see it as -7.

Answer 24

I circled where the graph is at x=0.

Answer 25

Alright

Answer 26

Do you understand that? The graph is a visual representation of the y part (dependent variable) of the graph. You are trying to see where the graph (y) is when x=0.

Answer 27

And it also just so happens that x=0 is the same thing as the y-intercept. So you can answer the 2nd one too.

Answer 28

I think I understand...
f > g
y > g
f < g

Answer 29

@anthonyym

Answer 30

Ok. The formula for where the x-coordinate at a parabola's minimum/maximum is
x = -b/(2a)

Answer 31

The function f(x) is in ax^2 + bx + c form, so the value of b is -11.

Answer 32

After you get the x value, substitute x back into f(x) = 6x^2 -11x -7 to get f(x). f(x) is the same as y.

Answer 33

What did you get for x?

Answer 34

I got -11/12

Answer 35

yes -11/12 is right

Answer 36

Now plug that in as x and solve. You can use a calculator.

Answer 37

184.583

Answer 38

I got something else.

Answer 39

Does your calculator have a store as variable option? You can store -11/12 as variable A. Type in -11/12 then hit STO-> A. Then type the equation into the calculator substituting x for A.

Answer 40

O man I'm sorry looking back you should have gotton x=11/12

Answer 41

x = -b/(2a) = -(-11)/(2*6) = 11/12

Answer 42

When I plug it in I get:
-12.041...

Answer 43

Yes that's correct.

Answer 44

-12.041 is what y equals. Now compare that to what y equals at its minimum point on the graph g(x).

Answer 45

Need help?

Answer 46

yes

Answer 47

Ok so you know for the f(x) function, y=-12.041. For the g(x) function, even if there's no equation you can find the y-coordinate of the minimum. Do you now where the minimum of g(x) is on the graph?

Answer 48

I have circled the minimum point in the attachment

Answer 49

-11

Answer 50

Yes that's correct. Now compare that minimum y-value to the value for f(x)
f(x) = -12.041
g(x) = -11

Answer 51

minimum value f(x) > g(x)

Answer 52

So
f(x) > g(x)
-12.041 > -11?

Answer 53

yes

Answer 54

Is -2 greater than or less than -1

Answer 55

greater than

Answer 56

A number on the number line is always greater than any number on its left.