Question

I GIVE MEDALS!
How do I solve 100+23x=90(1.2^x)

@Hero

Answer 1

\(\large\color{slate}{ 100+23x=90(1.2^x) }\) this?!

Answer 2

it has no solution

Answer 3

no simple solution,... yes

Answer 4

yes it has a solution

Answer 5

Would the solution be the point of intersection if I graphed it on a coordinate plane?

Answer 6

first solve 100+23x

Answer 7

so far the farthest I got with this was 23x+100-9 times 1.2^x=0
which then equals 23x+1times1.2^x=0

Answer 8

http://www.wolframalpha.com/input/?i=100%2B23x%3D90%281.2%5Ex%29+
https://www.desmos.com/calculator/fuaevxuhlq

Answer 9

? @Daniellelovee

Answer 10

just graphing both functions produces a lazy but simple to get result

Answer 11

you're fast
let her do it so she understands

Answer 12

well, I did nothing besides putting it in a graphing calculator.

Answer 13

@georgia_catherine is the equation really:
\[100+23x=90(1.2)^x\]
like exactly how it is written?

Answer 14

Are we allowed to use any approximation methods to the intersections of the left hand expression and the right hand expression
it will include knowing how to find the derivative
or the method I have in mind like newton's method
also there is no y

Answer 15

im only in 8th grade

Answer 16

when you say:
\(\large\color{slate}{ 100+23x=90(1.2^x) }\)

it's same as:

\(\large\color{slate}{ y= 100+23x }\)
\(\large\color{slate}{ y=90(1.2^x) }\)

Answer 17

you can't solve it by a simple algebra: or even if you could it would hurt as hell.

Answer 18

and substitution from that would get us our initial problem

Answer 19

yes, I gave you the graph

Answer 20

are we suppose to use a method to approximate the solution?

Answer 21

like a table maybe?

Answer 22

https://www.desmos.com/calculator/src4elldzx

Answer 23

I didn't zoom out to see that there is another solution-:(
now I fixed that

Answer 24

@georgia_catherine

Just wondering if the following is the original question you were asked to solve.

s(x) = 100 + 23x
m(x) = 90(1.2x)

Complete the table of values.
x 100 + 23x 90(1.2x)
0
1
2
3
4
5
Use the table to determine at approximately which point the number of cells will be the same for each organism.
Graph the system of equations and show the point of intersection.
Explain what the points graphed for each line represent.
Explain how you can determine the solutio

Answer 25

From this URL: http://openstudy.com/updates/53d5fc48e4b081ba963c1884

Answer 26

In a biological lab, the cell growth rate of two different organisms is tracked and recorded each week. Given the growth rate, the number of organisms can be determined using the following equations:

s(x) = 100 + 23x
m(x) = 90(1.2x)


http://openstudy.com/updates/53e071f6e4b002c9d802bb9a

@campbell_st worked on this before.