Answer: 11
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Explanation:
To find the inverse, or f^-1 of a function, you first replace the y= 6x-4 with x=6y-4
Finding the inverse from here is basically just finding y in terms of x.
1) x=6y-4
2) x+4=6
3) (x+4)/6= y
y= (x+4)/6 is now your f^-1.
Now that you have your inverse, replace 62 with your x in y=(x+4)/6
1) (62+4)/6
2) 66/6
3) 11
Therefore, f^-1(62)= 11
Hope this helps :)
Answer:
1 mile/hr
Step-by-step explanation:
Let the Speed of the boat still in water = a
Speed of the current = b
We know from this formula that speed = distance/time
Hence,
A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.
Downstream = a + b = 15/3
a + b = 5 .........Equation 1
On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip.
Upstream = a - b = 15/5
a - b = 3 ..............Equation 2
Combining both Equation together
a + b = 5 .........Equation 1
a - b = 3 ..............Equation 2
Subtracting Equation 2 from Equation 1
2b = 2
b = 2/2
b = 1miles/hr
Since b = speed of the current which can also be called rate of the current, the rate of the current = 1 miles/hr
1/6 x 2 = 2/12
3/4 x 3 = 9/12
2/12 + 9/12 = 11/12
Altogether, Keisha bought 11/12 of a tank of gas.
Hi there!
These can probably be done on your own. You just gotta know what to do! :)
Let's take #1 for example. You (or maybe a classmate/teacher showed you?) plotted the points. Mark each point with the given letter, so you don't get lost. Then, you reflected it over the y-axis.
Think of it as a mirror. Say you held a picture of a rhombus up to it. You would see the rhombus, yourself, and whatever was in the background reflected back at you. You step closer, the image steps closer. You turn the rhombus, and the image also turns. This principle can be used here!
So, keep doing what you're doing. Here's a step-by-step:
1.) Plot each point, and mark its name. For example, 'B' is (-6,7), and you write 'B' next to the point.
2.) Double check the point are exactly where they need to be
3.) Connect each point with a straight line. You can use a ruler, student ID, whatever as a straightedge, but it looks neater
4.) Draw a line for the axis. For example, if y=0, draw a straight line again there. (hint: that's the y-axis!)
5.) Double check that everything is right so far again. This is easy to mess up!
6.) Reflect each point over the axis. Another example, (-3, 2) becomes (3, 2). Mark this with an apostrophe (') to signal the point as prime, or the reflected point. For example, B becomes B' (B prime)
7.) Check one final time
If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer. I want to be able to assist more users one-on-one! :)
