Answer:
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula
. Substitute the x and y values of the given points into the formula and solve:

Thus, the slope is
.
2) Now, use the point-slope formula
to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for
,
, and
.
Since
represents the slope, substitute
for it. Since
and
represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

First, we must calculate the weekly pay of an employee that is paid a fixed amount. Given that there are 52 weeks in a year, the weekly pay for a regularly paid employee is:
67,000 / 52 = $1,288.46
Now, we calculate the number of hours an employee that is paid hourly works per week:
0 + 10 + 8 + 8 + 7 + 6.5 + 4.5 = 44
So this employee is paid:
25 x 40 + 37.5 x 4 = $1,150
Therefore, it is recommended that a new employee goes for the salaried pay since the weekly earnings are greater in this option.
The answer is C<span>.</span>
Answer:
subtract 1 then divide 2
Step-by-step explanation:
Answer:
This is also known as the Counting rule.
The Fundamental Counting Principle is used in determining all the possible outcomes and the total possible ways different events can be combined with each other. It is usually done by multiplying all the events together to get the total possible outcome. Doing this also helps in determining the sample space of a probability.
For example there are events a, b and c. The total sample space or possible outcome will be a*b*c.
Answer: D) Number of yards Jerry cuts; 0 ≤ x ≤ 10
Step-by-step explanation:
Here the given function that describes the total profit,
y = 15 x - 10
Where x represents the number of lawns Jerry cut in a week.
But, Depending homework and chores, he has time to cut at most 10 lawns a week.
Thus, x ≤ 10
Also, the number of lawns can not be negative.
Therefore, x ≥ 0
And, the value of x will decide the domain of the function y,
Thus, the domain of the given function is,
0 ≤ x ≤ 10
⇒ Option D is correct.