The fastest way is to just use a scientific calculator.
To do it without a calculator, use prime factorization.
I'll only do the second one which is the answer.
27 x 8
= 3^3 x 2^3 = 6^3
Which is a perfect cube.
The slope is -9/7. I don’t have an explanation because I used an online calculator but that’s the answer in case you don’t have to show work.
Answer:
1; after 2 months
2; $130
Step-by-step explanation:
In this question, we are trying to compare the fees to be paid in two different gyms, to determine when the amount paid would be equal and also what this amount would be.
Now since we do not know the exact number of months, we can represent this unknown by x
so mathematically, at the end of m months, at the first gym , Casey would have paid a total of 50 + 40m
For the second gym, at the end of the second month, casey would have paid a total of 65m only
now we need to know when these fees would be the same. we simply equate what we have on both ends
mathematically, that is 50 + 40m = 65m
65m-40m = 50
25m = 50
m = 50/25
m = 2 months
The fees to be paid is
50 + 40(2) = 65(2) = $130
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 
.
Answer:
The equation of the linear function g(x) is
g(x) = x + 6
Step-by-step explanation:
The step by step explanation is attached here.
