Question

http://prntscr.com/h0zxjp

Answer 1

@563blackghost im glad your here on QC as well... pa is lagging a lot :(

Answer 2

yea it is

Answer 3

so lets just work here bc QC never lags lol

Answer 4

XD sure

Answer 5

so i posted the link to my question above^

Answer 6

It's best for these kinds of problems to be plugged into your graphing calculator so that you can either make a graph from the table it provides or view the graph it makes.

Try desmos.com

Answer 7

ok what do i apply in desmos?

Answer 8

Well you click on `Start Graphing` and plug it in, here it is already plugged.

https://www.desmos.com/calculator/itbyf1iieo

Answer 9

so it would be d?

Answer 10

graph d?

Answer 11

yea

Answer 12

awesome next

Determine the type of boundary line and shading for the graph of the inequality 4x + y > −6.

Dashed line with shading on the side that includes the origin
Solid line with shading on the side that does not include the origin
Dashed line with shading on the side that does not include the origin
Solid line with shading on the side that includes the origin

Answer 13

\(\bf{>~or~<}\) are dashed, while as \(\bf{\ge~or~\le}\) are solid. So we can rule out B and D.

Answer 14

ok... would it be A?

Answer 15

That is right :)

Answer 16

Simplify cube root of 5 over fourth root of 5.

5 to the power of 1 over 4
5 to the power of 1 over 12
5 to the power of 7 over 12
5 to the power of 4 over 3

Answer 17

\[\frac{ ^3 \sqrt{5} }{ ^4\sqrt{5} }\]

Answer 18

there is the problem so you can see it better

Answer 19

We would multiply the roots to each other.

\(\Large\bf{\frac{\sqrt[3]{5}}{\sqrt[4]{5}} \rightarrow \sqrt[3 \times 4]{5}}\)

This simplifies to be \(\large\bf{\sqrt[12]{5}}\).

We would apply \(\large\bf{a^\frac{1}{n}=\sqrt[n]{a}}\).

\(\Large\bf{\sqrt[12]{5} \rightarrow 5 ^{\frac{1}{12}}}\)

Answer 20

http://prntscr.com/h11mbl

Answer 21

@563blackghost

Answer 22

Apply this \(\Large\bf{a^\frac{b}{c} \rightarrow \sqrt[c]{a^{b}}}\).

What would the answer be?

Answer 23

um... i dont get it

Answer 24

Let's do an example.

If I have the problem \(\large\bf{4^{\frac{5}{3}}}\) we would place it as \(\large\bf{\sqrt[3]{4^{5}}}\), we simplify to get \(\large\bf{\sqrt[3]{20}}\).

Answer 25

oh ok let me see if i can do it

Answer 26

when i simplified i got 2 4/3 the same thing .. your gonna have to show me how you do it bc i dont know

Answer 27

\(\Large\bf{2^{\frac{4}{3}} \rightarrow \sqrt[3]{2^{4}}}\)

Answer 28

i tried to simplify that .... but i just get 2 4/3

Answer 29

You are probably using a calculator to simplify it.

What is \(\large\bf{2^{4}}\)?

Answer 30

16

Answer 31

Correct!

So it is \(\large\bf{\sqrt[3]{16}}\).

Answer 32

ohhhh wow i totally like over thought it lol

Answer 33

A function is shown below:

f(x) = (1.07)^x

What does the function represent?

Exponential growth of 7%
Exponential decay of 7%
Exponential growth of 93%
Exponential decay of 93%

Answer 34

is it A?^

Answer 35

x'D just a bit

I would say you are correct :)

Answer 36

http://prntscr.com/h11zra

Answer 37

The best way I think to solve this is plug in the point into the equations (cause converting them all is a bit too much). The one that is the answer is the one in where the outcome is the same.

Answer 38

ummmm is it B?

Answer 39

Not quite.

If I plug in the point \({(2,−6)}\) into the first equation it would be false.

\(\large\bf{2-2(-6)=14 \neq -10}\)

Answer 40

Let's go down the list, let's try A.

\(\large\bf{2+2(-6)=10~~ \checkmark}\)

Let's try the second equation.

\(\large\bf{3(2)-(-6)=12~~\checkmark}\)

A is the answer.

Answer 41

ohhhhhh ok :)
http://prntscr.com/h124qi

Answer 42

i think its d^ please check

Answer 43

O.O Never seen these kinds of questions...freaky

Let me check.

Answer 44

lol ok

Answer 45

I would say you are correct, but I think it best if @Vocaloid can check.

Answer 46

ok for now lets continue

Answer 47

sure

Answer 48

The following function represents the value of a house, in dollars, after x years:

f(x) = 242,000(1.04)^x

What does 242,000 represent?

The present value of the house
The value of the house after x years
The increase in the value of the house each year
The increase in the value of the house after x years

Answer 49

Just to let you know I need to go in about 5 minutes :(

Answer 50

This function is set-up as \(\large\bf{f(x)=ab^{x}}\).

In which \(\large\bf{a}\) represents `the initial value` or `the present`.

Answer 51

ok so... it would be c?

Answer 52

No it is A, since it states to be `the present value`.

Answer 53

ohhh ok :)

The functions f(x) and g(x) are described using the following equation and table:

f(x) = 4(1.02)x

x g(x)
−1 −4
0 6
1 8
2 10


Which statement best compares the y-intercepts of f(x) and g(x)?
The y-intercept of f(x) is equal to the y-intercept of g(x).
The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

Answer 54

is it d?^

Answer 55

Is that \(\large\bf{4(1.02)^{x}}\)?

Answer 56

yes

Answer 57

D is correct, I was overthinking it x'D

Answer 58

hehe next

Find an equivalent function to f(x) = 4(7)^2x.

f(x) = 28^2x
f(x) = 4(49)^x
f(x) = 196^x
f(x) = 16^x(49)^x

Answer 59

This is set as \(\large\bf{4(7)^{2x}}\) if we simplify \(\large\bf{7^{2}}\) we will get the simplified function.

\(\large\bf{4(7)^{2x} \rightarrow 4(49)^{x}}\)

Answer 60

so b?

Answer 61

Yea

Answer 62

okay last one i believe

The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 7 units, the value of k is ________.

Answer 63

This is a trick question.

You see the format of this equation is \(\large\bf{g(x)=b^{x}+c}\). In where \({b}\) is \({0.5}\) and \({k}\) is \({c}\). We are told the function is `shifted down 7 units` which is applied as \(\large\bf{g(x)=b^{x}-7}\).So the value of \({k}\) is \(\bf{\color{red}{7}}\).

Answer 64

ok thank you so muchhh!!

Answer 65

no problem ^.^

Answer 66

What did you get?

Answer 67

100% :) im so happy

Answer 68

hehe! you're the best :) thanks so much for helping me out i couldnt have done it without you

Answer 69

your very welcome ^.^

Answer 70

:) are you good at history by any chance??? :)

Answer 71

Kind of, like I would say about 70% good.

~~~

Well I am over my time by 30 minutes (didn't notice O.o). I gotta go, good luck on the rest of your work!

Answer 72

hehe ok thanksss!!! :)