What are the x there for?
Answer:
Step-by-step explanation:
As we can see, the graph of transformation of f(x) is translated to the right and down.
then, g(x) = f(x - a) - b, where a & b > 0.
from the options, there are 4 translated function of f(x).
but on the second option
a < 0, then it's not the answer we need, same as third option that makes only first and fourth left.
from the picture, horizontal asymptote of f(x) is y = 0.
on g(x) horizontal asymptote is y = -b, where -10 < -b < -5.
and from the options that are left, we can see only fourth option that satisfies what we need.
Answer:a. 0.13% b. 2.28%
Step-by-step explanation:
Let x denotes the useful life of batteries.
Given: months,
Since X is normally distributed.
The probability that batteries with a useful life of less than 38 months
The percent of batteries with a useful life of less than 38 months =0.13%
The probability that batteries will last longer than 68 months
The percent of batteries that will last longer than 68 months =2.28%
From the calculations below, 56.43 pounds of 0.26 copper, and 1.57 pounds of 0.63 copper are used.
<h3>How do we calculate the amount of copper used?</h3>
Let A represents pounds of 0.26 copper and B represents pounds of 0.63 copper are used to make 58 pounds of 0.27 copper.
Therefore, we can use simultaneous equations as follows:
A + B = 58
A = 58 – B ………………………………….. (1)
Also, we have:
0.26A + 0.63B = 0.27 * 58
0.26A + 0.63B = 15.66 ……………………….. (2)
Substituting for A from equation (1) into (2) solve for B, we have:
0.26(58 – B) + 0.63B = 15.66
15.08 – 0.26B + 0.63B = 15.66
0.37B = 15.66 – 15.08
0.37B = 0.58
B = 0.58 / 0.37
B = 1.57 pounds
Substituting for B in equation (1), we have:
A = 58 – 1.57
A = 56.43 pounds
Learn more about simultaneous equations here: brainly.com/question/16763389.
#SPJ1