Homework Statement
Describe the transformations that must be applied to the graph of y=5^x to obtain the graph of y=2-3(5^x+4) and complete the following table.
y=5^x
(-1,1/5)
(0,1)
(1,5)
(2,25)
(3,125)
y=-3(5^x)
y=2-3(5^x+4)
Homework Equations
y=5^x ...
Oh man I copied down the wrong problem. I'm so sorry. It was supposed to be:
4096^3/4 / 4096^2/3 x 4096^5/6
I got the common denominator which would been 12. That is how I got 4096^(9-8+10)/12
= 4096^11/12
am I still incorrect?
Homework Statement
Write as a single power, then evaluate:
a) (-32)^3/5 x (-32)^-4/5 / (-32)^2/5
b) 4096^3/6 / 4096^2/3 x 4096^5/6
Homework Equations
The Attempt at a Solution
a) (-32)^3/5 x (-32)^-4/5 / (-32)^2/5
= (-32)^3/5+(-4/5)-2/5
= -32^-3/5
= -1/8 <- not sure...
Hi tal! Thank you for your response. So would that make x=100 & x=10? Also, would my final answer be "In order for the video company to make a profit of $0 they must spend either ten thousand dollars or a hundred thousand dollars in advertisements."?
I simplified it to -5(x^2-110x+1000) <- is that correct?
with that I tried to use the quadratic formula. Not sure if I was on the right track but I tried anyway... and got:
-(-110)±√-110^2-4(1)(1000)/2(1)
110±√12100-4000/2
110+90/2 or 110-90/2
x=145 or x=65
Well I'm home schooled so I'm basically teaching myself all of this. But could I use the quadratic formula to figure out the amount spent to get a profit of zero (x)?
Homework Statement
The profit, P, of a video company, in thousands of dollars is given by P=-5x^2+550x-5000, where x is the amount spent on advertising in thousands of dollars.
a) Determine the amount spent on advertising that will result in a profit of $0.
Homework Equations...
Yay, basically my answers are on point I just need to work on my arrangement in order for it to make better sense. I'll definitely work on that. Thank you for your time and help.
On a side note, do you know if it will be alright for me to make posts asking PF contributors to help me check my...
Homework Statement
For each of the following, identify the base function and describe the transformation(s):
f(x)=-4(3x)^2 + 5
Homework Equations
f(x) = -4(3x)^2 + 5
The Attempt at a Solution
Alright so my attempt at figuring out the requested answers are:
Base function = x^2...