Normally you would divide something like this by the cuts made. So if there were cuts of 2 inches on a 10 inch rope, then you should divide 10 by 2. It's the same with this:
Multiply by the reciprocal when you are dividing fractions.
If we were to put this in terms of a venn diagram, we would have 360 owning only brand X, 500 owning only brand Y, and 80 in between, owning both. Therefore, 80 out of the 580 owners of brand Y may have X as well, which we put into fraction form 80/580, and reduce to 4/29.
See attached graph.
The y-intercept is (0, 1), since the line is at that point when it intersects with the y-axis.
The common ratio is 1/4, since the y value multiplies by 1/4 for each unit on the x-axis.
To compare these two jobs, you need to have a common point. In
this problem, you have to solve for the annual salary of the first job and
compare it with the annual salary of the second job which is already given.
$12 per hour x 40 hours per week x 48 weeks in a year =
$23,040
First job’s annual salary is $23,040
Second job’s annual salary is $22,000
Therefore, the job which pays $12 an hour pays more.
Answer:
The value of g(22) = 31
Hence, option D is correct.
Step-by-step explanation:
Given
To determine
g(f(2)) = ?
To determine g(f(2)), first, we need to calculate f(2)
so substitute x = 2 in f(x)= 4x³ – 10
f(x)= 4x³ – 10
f(2) = 4(2)³ - 10
f(2) = 32 - 10
f(2) = 22
so
g(f(2)) = g(22)
now substitute x = 22 in g(x) = [3x - 4] / [2]
g(x) = [3x - 4] / [2]
g(22) = [3(22) - 4] / [2]
g(22) = [66-4] / [2]
g(22) = [62] / [2]
g(22) = 31
so
g(f(2)) = g(22) = 31
Therefore, the value of g(22) = 31
Hence, option D is correct.
