Answer:
(4,5)
(6,2)
(2,4)
Step-by-step explanation:
just add 3 to x and 1 to y
Y=-x+9 is the correct answer
Answer:
Option A) any numerical value in an interval or collection of intervals
Step-by-step explanation:
Continuous Random Variable:
- A continuous random variable can take any value within an interval.
- Thus, it can take infinite values since there are infinite numbers in an interval.
- A continuous variable is a variable whose value is obtained by measuring.
- Examples: height of students in class
, weight of students in class, time it takes to get to school, distance traveled between classes.
- Thus, the correct meaning of continuous random variable is explained by Option A)
Option A) any numerical value in an interval or collection of intervals
The position function of a particle is given by:
The velocity function is the derivative of the position:
The particle will be at rest when the velocity is 0, thus we solve the equation:
The coefficients of this equation are: a = 2, b = -9, c = -18
Solve by using the formula:
![t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Substituting:
![\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B81-4%282%29%28-18%29%7D%7D%7B2%282%29%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B81%2B144%7D%7D%7B4%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B225%7D%7D%7B4%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm15%7D%7B4%7D%20%5Cend%7Bgathered%7D)
We have two possible answers:
We only accept the positive answer because the time cannot be negative.
Now calculate the position for t = 6:
The total amount of money he only made is calculated by
the formula:
amount made = 15,200 – 912
amount made = 14,288
Therefore the percentage commission was:
% commission = 912 / 14,288 * 100%
<span>% commission = 6.38 %</span>
