hmmmm
b = brother
s = sister
a = my age
so your brother is 5 years older, b = a + 5.
and your sister is 3 years younger, s = a - 3.
that means your sister is
![\bf \begin{cases} b=a+5\implies b-5=\boxed{a}\\ s=a-3\\[-0.5em] \hrulefill\\ s=\boxed{b-5}-3\implies s=b-8 \end{cases} \\\\\\ \stackrel{\textit{if your sister is "m" years old, say s = m}}{m=b-8}\implies \blacktriangleright m+8=b \blacktriangleleft](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%20b%3Da%2B5%5Cimplies%20b-5%3D%5Cboxed%7Ba%7D%5C%5C%20s%3Da-3%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20s%3D%5Cboxed%7Bb-5%7D-3%5Cimplies%20s%3Db-8%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bif%20your%20sister%20is%20%22m%22%20years%20old%2C%20say%20s%20%3D%20m%7D%7D%7Bm%3Db-8%7D%5Cimplies%20%5Cblacktriangleright%20m%2B8%3Db%20%5Cblacktriangleleft)
If I’m not mistaken it’s $22.74 I apologize if I’m wrong.
Answer:
8 Units, let me know if you didn't understand anything.
Step-by-step explanation:
Translation is the simple movement of just left, right, up or down. when dealing with the absolute value function here are the transformations.
A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D. B is the horizontal shrink, so you divide all x values by B except for where x=C. C is the horizontal shift, which is a translation. C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left. it could also look like |x + C|. keep in mind, +C is actually -C because - -C = C. D shifts up and down, so it is also a translation. if D is positive it moves up and if D is negative it moves down.
Nowthe only transformation in your problem is -8, which is a horizontal shift to the right. so the graph moves 8 to the right. There is your answer, 8 units.
Assuming log10x means log(base 10)x
Let's rewrite 10^y = 3 by taking the log(base 10) of both sides
log (10^y) = log (3) Remember that log(10^y) = y
y = log (3)
This is the same as our function f(x) = log(x), or f(3) = log(3)
Consult our graph of f(x) to find the y value at x=3
Checking the graph, we can find the value of y at point x=3
The value is .477. Therefore, y =.477, or about 1/2
