Question

math problem

Answer 1

@AZ

Answer 2

ik how to do it but i dont know how to explain it

Answer 3

what do you get when you plug in x = 1

and what do you get when you plug in x = 5

Answer 4

im not sure

Answer 5

just plug in 1

-2(1)^2 - 3(1) - 1

can you multiply it and subtract

Answer 6

its gonna be the same numbers

Answer 7

hmm?

what is -2 *1^2

and what is 3 * 1

Answer 8

-4-2

Answer 9

no

Answer 10

3 times 1 minus 1 is 2

Answer 11

but there's a - in front of the 3

so we have

-2 - 3 - 1

which is?

Answer 12

but -2^2

Answer 13

no

it's -2 * (1)^2

and 1^2 = 1 * 1 = 1

so -2 * 1 = -2

Answer 14

-2-3 is 5?

Answer 15

yes

and then what is -5 - 1

Answer 16

oh oops, I didn't see that

but it's not 5

it's negative 5

Answer 17

-6

Answer 18

-6?

Answer 19

yes, so now we know when x = 1, we get y = -6

so we have one point (1, -6)

now what about when x = 5?

-2*(5^2) - 3*(5) - 1

= ??

Answer 20

-20-15-1

Answer 21

-35-1

Answer 22

-36

Answer 23

no

5^2 is 5*5 which is 25

-2*25 - 15 - 1

Answer 24

-65-1

Answer 25

-66

Answer 26

az

Answer 27

yes, so now we have our second point when x = 5 then y = -66

Answer 28

no

so now we have two points, we need to find the rate of change or slope

\(\Large\text{Slope} = \dfrac{\color{green}{y_2} - \color{orange}{y_1}}{\color{cyan}{x_2}-\color{red}{x_1}}\)

where you have two points
\(\Large (\color{red}{x_1}, \color{orange}{y_1})\) and \(\Large (\color{cyan}{x_2}, \color{green}{y_2})\)

So your two points are

\((\color{red}{1}, \color{orange}{-6})\) and \((\color{cyan}{5}, \color{green}{-66})\)

Answer 29

1 - -6?

Answer 30

az

Answer 31

remember the y value is on top

so what is -66 - (-6) =

basically -66 + 6 =

Answer 32

-72

Answer 33

no, -66 PLUS 6

Answer 34

-66 + 6 is -60?

Answer 35

yes

and what is 5 - 1

and then to find the rate of change

-60 divided by whatever 5 - 1 is

Answer 36

-15

Answer 37

yup!

Answer 38

That's your final answer

Did that make sense?

Answer 39

yep

Answer 40

Great! :)