Question

help will give medal @Will.H

Answer 1

@agent0smith

Answer 2

Plug in x=-1.

Answer 3

what do u mean plug in?

Answer 4

Plug in means to replace the variable \(x\) with the value stated for it.
Example: if you have an equation \(y=3x+5\), and \(x=6\), then plugging in will get you this:\[y=3(\color{red}{6})+5\]

Answer 5

He is asking you to replace \(x\) with the value \(-1\).

Answer 6

ok got that

Answer 7

Now you have a complete equation that you can solve for, yes?
Can you try and do that?

Answer 8

Are you confused? @imterribleatmath

Answer 9

yes

Answer 10

Alright. Where are you confused?

Answer 11

what is my full equation?

Answer 12

to solve

Answer 13

You have equation model \(\Large{-5^{\color{red}{x}}}\). You are also given the value for x, which is \(\color{red}{x=-1}\).

Answer 14

Replace \(x\) with \(-1\) and you get \(\Large{-5^{\color{red}{-1}}}\)

Answer 15

oh ok

Answer 16

Yes.
Are you good now? I can explain more if you need. :-)

Answer 17

so my equation to solve is y=f(x)=-5^-1 ?

Answer 18

Yes.

Answer 19

I will give you a hint.
Given variable \(a\), if you have function \(G(x)=a^{-c}\) then you can also put it in the form \(\Large{\frac{a}{a^{c}}}\).

Answer 20

In this problem the \(a^{-c}\) is the function \(f(x)\) which is \(-5^{-1}\). Apply the rule to the equation and solve.

Answer 21

In words: If you have \(a\) to the negative power of \(c\), then you will be able to write it in the fraction form:\[\frac{1}{a^{c}}\]Otherwise known as "one over \(a\) to the power of \(c\)"

Answer 22

i understand my equation but whats f(x) equal?

Answer 23

You have the result from substituting the \(x\) value in. You now have \(\large{f(-1)=-5^{-1}}\) which can be simplified FURTHER.
Based on the hint I gave you, any ideas?

Answer 24

f(-1)= -1/5 ?

Answer 25

Yes! Very good job. \(\large{☺}\)

Answer 26

so now i have -1/5 what now ?

Answer 27

I believe you are done. Did you try to put it into the system and see if you are correct?

Answer 28

it says express as a decimal round to the nearest thousand ?

Answer 29

Okay then, do you know how to turn a fraction into a decimal?

Answer 30

0.2?

Answer 31

Yes, but they want it "to the nearest thousand."
Hint: \(0.0358000=0.0358\)

Answer 32

im not sure how to do that

Answer 33

Refer to my hint.

Another hint: \(0.56=0.560\), but the \(\color{blue}{\text{second}}\) number is the one that has a thousandth place.

Answer 34

is it 0.200

Answer 35

thats my anwser?

Answer 36

Did you try to put it in to see if it is correct?

Answer 37

yes was incorrect maybe i did something wrong ?

Answer 38

You are missing something.\[-\frac{1}{5}\ne0.200\]

Answer 39

LOL you missed the negative.

Answer 40

im confused?

Answer 41

\(\Large{-\frac{1}{5}}=\) what in decimal form?

Answer 42

was it, -0.200 because i missed the negative?

Answer 43

Yes lol

Answer 44

my bad

Answer 45

That's okay. Did it say the answer is correct now?

Answer 46

i only get one chance to anwser

Answer 47

Wow, that's not a very friendly site then.

Does it at least tell you what the right answer was supposed to be?

Answer 48

nope

Answer 49

You only got one chance?

Answer 50

Welp, sorry. Better luck next time then :p

Answer 51

lol thanks anyways

Answer 52

👍