Answer: it will take about 5 months for the cost to be the same
Step-by-step explanation:
Let x represent the number of months it will take for the gym memberships to cost the same amount.
A gym membership at A costs $10/month plus a one-time membership fee of $15. This means that the total cost for x months would be
10x + 15
At B, the memberships costs $4/month plus a one-time $40 fee. This means that the total cost for x months would be
4x + 40
For the costs to be the same,
10x + 15 = 4x + 40
10x - 4x = 40 - 15
6x = 25
x = 25/6 = 4.2
The <em><u>correct answer</u></em> is:
C) Glide reflection.
Explanation:
If we reflect the image through the x-axis, the figure is oriented correctly and in the correct quadrant. It still, however, needs shifted. If we apply the translation <2, 1> to the reflected figure, it will be on image W.
check the picture below.
namely, which of those intervals has the steepest slope, recall slope = average rate of change.
now, from the picture, notice, those two there are the steepest, the other three are leaning too much to the "ground".
so, from those two, which is the steepest anyway? let's check their slope.
![\bf \stackrel{\textit{from the 6th to the 8th hour}}{(\stackrel{x_1}{6}~,~\stackrel{y_1}{104})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{146})} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{146-104}{8-2}\implies \cfrac{42}{2}\implies 21~~\bigotimes \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bfrom%20the%206th%20to%20the%208th%20hour%7D%7D%7B%28%5Cstackrel%7Bx_1%7D%7B6%7D~%2C~%5Cstackrel%7By_1%7D%7B104%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B8%7D~%2C~%5Cstackrel%7By_2%7D%7B146%7D%29%7D%20%5C%5C%5C%5C%5C%5C%20slope%20%3D%20m%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%7B%20y_2-%20y_1%7D%7D%7B%5Cstackrel%7Brun%7D%7B%20x_2-%20x_1%7D%7D%5Cimplies%20%5Ccfrac%7B146-104%7D%7B8-2%7D%5Cimplies%20%5Ccfrac%7B42%7D%7B2%7D%5Cimplies%2021~~%5Cbigotimes%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D)
15% of 33 =
= 15% * 33
= 0.15 * 33
= 4.950 students in that class are left-handed
