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a) Write an equation of the function

b) Discuss its domain and range

Hello Guest!

a)
\(\color{blue}f(x)=\frac{3}{4}\cdot (\frac{1}{2})^x+t\\ f(0)=\frac{3}{4}+t \)

reflected in y

\(\color{blue}g(x)=\frac{3}{4}\cdot (\frac{1}{2})^{-x}+t\\ f(0)=\frac{3}{4}+t \)

b)

domain f(x) and g(x):  - \(\infty\) < x < \(\infty\) 

range f(x):   t < f(x) < \(\infty\) 

range g(x):   t < g(x) < \(\infty\) 

  !

a) Write an equation of the function.

b) Discuss its domain and range

Hello Guest!

a)

\(f(x)=\frac{3}{4}\cdot (\frac{1}{2})^x-4\\ f(0)=-\frac{13}{4}\)

reflected

\(g(x)=\frac{3}{4}\cdot (\frac{1}{2})^{-x}-4\\ g(0)=-\frac{13}{4}\)

b)

domain f(x) and g(x) : \(-\infty\) < x < \(\infty\)

range f(x) : - 4 < f(x) < \(\infty\)

range g(x) : - 4 < g(x) < \(\infty\)

  !

\((x+2\sqrt3)^7\\~\\ 7C3*(2\sqrt3)^4(x)^3 \)

That is the  x^3 tern.  You can take it from there.

Shortest altitude = (10 * 24) / 26

https://web2.0calc.com/questions/please-help-asap_39806#r2

If you know trig: bash each angle 

if you don't: note that it is a Pythagorean triple and you coil dddfine var for the st[hottest length, set eq and solve

Nice collection keep up the good work. 

This is literally screaming ratios of areas.

Wow, thank you @Catmg and @Melody for the warm welcome! I definitely will, thanks again! 

$\sqrt{600}=\sqrt{6}\cdot\sqrt{100}=10\sqrt{6}$

$\sqrt{150}=\sqrt{25}\cdot\sqrt{6}=5\sqrt{6}$

$4\sqrt{54}=4{\sqrt{9}\cdot\sqrt{6}}=(4\cdot3)\sqrt{6}=12\sqrt{6}$

$6\sqrt{32}=6(\sqrt{16}\cdot\sqrt{2})=(6\cdot4)\sqrt{2}=24\sqrt{2}$

$3\sqrt{50}=3(\sqrt{25}\cdot\sqrt{2})=(3*5)\sqrt{2}=15\sqrt{2}$

$\sqrt{72}=\sqrt{36}\cdot\sqrt{2}=6\sqrt{2}$

$\frac{10\sqrt{6}+5\sqrt{6}+12\sqrt{6}}{24\sqrt{2}-15\sqrt{2}-6\sqrt{2}}=\frac{27\sqrt{6}}{3\sqrt{2}}=\frac{27}{3}\cdot\sqrt{\frac{6}{2}}=9\sqrt{3}$

$9+3=12$

12

Please just ask one question per post.

I am closing this post.

It would also be beneficial for you to talk about what you have tried, or thought about, for yourself.

Hi FantasticFlower  

We will welcome your questions especially if you tell us what you have attempted and you interact with the answerers.

If you are polite (which I think you will be) and you interact with answerers you will get a great reputation and your question will be responded to much more quickly and seriously.

I hope you learn lots and have fun here.      

69420 L

hello i dont have an account and idk what this is 

This is the same one that I looked at the other day.

I know I did not answer it, but I did go to the effort to draw a comprehensive pic.   Which you completely ignored.

Anyway, it does not matter that I did anything at all.

This is a repost hence you need to guide people to the original question.

You need to include a hyperlink to the original and request that people answer on the original.

And for them to just leave a little note here saying that they have done so.

If you ever need an original question unlocked then send a polite note to a moderator asking them to open it for you.

Yep, a quick way to check is that 80/16 = 5, and 112 and 128 are not divisable by 5, meaning that 16 is the largest factor shared by all 3 numbers. 

=^._.^=

Since it provides us with the numbers, we just have to plug them in. 

V = 1/3(30)(6.5)

=^._.^=

I am going to use the law of cosines since we have the sides. 

sqrt(a^2 + absqrt(3) + b^2)^2 = b^2 + a^2 - 2abcos(A)

a^2 + absqrt(3) + b^2) = b^2 + a^2 - 2abcos(A)

absqrt(3)  = - 2abcos(A)

-sqrt(3)/2 = cos(A)

A = arccos(-sqrt(3)/2) = 2.61799388 radians

=^._.^=

Hello :))

I'm catmg, welcome to the forum. :DD

Good luck on your summer math course, and feel free to ask any questions. 

=^._.^=

thank you, i subtracted by $35$ because i did not multiply by 5 choose 1, mind if i ask why you multiplied by that?

Success = Total - Not Success

\(\begin{align*} \binom{5+7}{5} - \binom{4+3}{4}\binom{1+4}{1} &= \binom{12}{5} - \binom{7}{4}\binom{5}{1} \\ &= 792 - (35 \cdot 5) \\ &= 792 - 175 \\ &= \boxed{617} \end{align*}\)

There are:

       p   n  d  q

1  = 25 4 0 0
2  = 20 5 0 0
3  = 15 6 0 0
4  = 10 7 0 0
5  = 5 8 0 0
6  = 0 9 0 0
7  = 25 2 1 0
8  = 20 3 1 0
9  = 15 4 1 0
10  = 10 5 1 0
11  = 5 6 1 0
12  = 0 7 1 0
13  = 25 0 2 0
14  = 20 1 2 0
15  = 15 2 2 0
16  = 10 3 2 0
17  = 5 4 2 0
18  = 0 5 2 0
19  = 15 0 3 0
20  = 10 1 3 0
21  = 5 2 3 0
22  = 0 3 3 0
23  = 5 0 4 0
24  = 0 1 4 0
25  = 20 0 0 1
26  = 15 1 0 1
27  = 10 2 0 1
28  = 5 3 0 1
29  = 0 4 0 1
30  = 10 0 1 1
31  = 5 1 1 1
32  = 0 2 1 1
33  = 0 0 2 1
 

Answer:

The question is biased because it does not represent the entire population.

The question is biased towards a response of wanting more fresh fruits.