Answer:
2 to the sixth, 4 to the third, 8 squared
Step-by-step explanation: 2*2*2*2*2*2=64 because you would have 2, 4,8,16,32,64
4*4*4=64 because you would have 4,16,64
8*8=64
Answer:
<em>(7, 5.25)</em> lies on the graph.
Step-by-step explanation:
We are given the following values
x = 4, 6, 8, 12 and corresponding y values are:
y = 3, 4.5, 6, 9
Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.
Equation of a line passing through two points
and
is given as:

where m is the slope.
(x,y) are the coordinates from where the line passes.
c is the y intercept.
Here,

Formula for slope is:


Now, the equation of line becomes:

Putting the point (4,3) in the above equation to find <em>c</em>:

So, final equation of given function is:

OR

As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.
So correct answer is
.
If x is how long your friend swims and y is how long you swim, the answer would be x + 15 = y
Answer:
3 hours
Step-by-step explanation:
Given that:
Time taken by Kalon = 4 hours
Time taken by Marna =?
Time taken if the work together = 1 5/7 hours
Kalon's rate = 1/ time =. 1/4
Kalon + Marna = 1 ÷ 1 5/7 = 7/12
Hence,
Marna's rate = 7/12 - 1/4
Marna's Rate = (7 - 3) / 12 = 4/12 = 1/3
Marna's rate = 1/3
Hence, time it takes Marna = reciprocal of rate = 1÷ 1/3 = 1 * 3/1 = 3 hours