Answer:
(-5, 2) and (2, 6)
Step-by-step explanation:
Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.
3x = x^2 - 10
x^2 - 3x - 10 = 0
Use the quadratic equation to solve for x.
x = - 5, 2
Now solve for y using these two values of x by substituting it back into the equations.
y = - 15, 6
In coordinate form, (-5, 2) and (2, 6)
Salesperson must generate a sales of $ 26280 in order to earn $2,816.90 per month in total compensation
<em><u>Solution:</u></em>
Given that,
A salesperson is paid a base salary of $1700 per month plus a 4.25% commission on sales
Therefore,
Total salary = 1700 + 4.25 % commission on sales
<em><u>How much sales must he generate in order to earn $2,816.90 per month in total compensation?</u></em>
Therefore, let us first subtract the basic salary
2816.90 - 1700 = 1116.9
We have to find the sales he must generate
Let "x" be the sales he must generate
4.25 % of x = 1116.9
Therefore,

Thus he must generate a sales of $ 26280 in order to earn $2,816.90 per month in total compensation
Answer:
0.1105
Step-by-step explanation:
We know that question about reporting a cheating is asked to 172 students.
So the sample size would be n=172.
Out of 172 undergraduate students only 19 students answered "yes". It means that only 19 out of 172 students are willing to report cheating and so x=19.
According to definition of proportion
proportion=number of favorable outcome/total number of outcome
p=x/n
we are given that x=19 and n=172 so,
p=19/172=0.1105.
Hence according to given data 11.05% of students are wiling to report cheating by other students.
Answer:
The equation of the line with a y-intercept of 4 and a point (8,8) is 
Step-by-step explanation:
A linear equation can be expressed in the form
y = m * x + b
where x and y are coordinates of a point, m is the slope and b is the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.
Graphically this equation represents a line.
In this case, you know:
- The point (x,y)=(8,8)
- Y-intercept= 4
Replacing:
8=m*8 +4
Solving:
8-4=m*8
4=m*8
4÷8= m

Then, <u><em>the equation of the line with a y-intercept of 4 and a point (8,8) is </em></u>
<u><em></em></u>