Step-by-step explanation:
4x² - 3x - 2 = 0
0 = 4x² - 3x - 2
0 = 16x - 3x - 2
0 = 13 x -
Answer: f(1)=0
Step-by-step explanation:
replace x by 1
![f(1)=1^{4}-2(1)^{3}+10(1)^{2}-18(1)+9](https://tex.z-dn.net/?f=f%281%29%3D1%5E%7B4%7D-2%281%29%5E%7B3%7D%2B10%281%29%5E%7B2%7D-18%281%29%2B9)
f(1)= 1-2(1)+10(1)-18+9
f(1)= 1-2+10-18+9
f(1)= 1+10+9-2-18
f(1)= 20-20
f(1)= 0
Answer:
![P(Red\ and\ Red) = \frac{4}{25}](https://tex.z-dn.net/?f=P%28Red%5C%20and%5C%20Red%29%20%3D%20%5Cfrac%7B4%7D%7B25%7D)
Step-by-step explanation:
Given
![Yellow = 5](https://tex.z-dn.net/?f=Yellow%20%3D%205)
![Red = 4](https://tex.z-dn.net/?f=Red%20%3D%204)
![Purple = 1](https://tex.z-dn.net/?f=Purple%20%3D%201)
![Total = 10](https://tex.z-dn.net/?f=Total%20%3D%2010)
Required
Determine the probability of selecting red, twice
Since it is a probability with replacement, the probability can be represented as:
![P(Red\ and\ Red) = P(Red) * P(Red)](https://tex.z-dn.net/?f=P%28Red%5C%20and%5C%20Red%29%20%3D%20P%28Red%29%20%2A%20P%28Red%29)
And this is calculated as follows:
![P(Red\ and\ Red) = \frac{n(Red)}{Total} * \frac{n(Red)}{Total}](https://tex.z-dn.net/?f=P%28Red%5C%20and%5C%20Red%29%20%3D%20%5Cfrac%7Bn%28Red%29%7D%7BTotal%7D%20%2A%20%5Cfrac%7Bn%28Red%29%7D%7BTotal%7D)
![P(Red\ and\ Red) = \frac{4}{10} * \frac{4}{10}](https://tex.z-dn.net/?f=P%28Red%5C%20and%5C%20Red%29%20%3D%20%5Cfrac%7B4%7D%7B10%7D%20%2A%20%5Cfrac%7B4%7D%7B10%7D)
![P(Red\ and\ Red) = \frac{2}{5} * \frac{2}{5}](https://tex.z-dn.net/?f=P%28Red%5C%20and%5C%20Red%29%20%3D%20%5Cfrac%7B2%7D%7B5%7D%20%2A%20%5Cfrac%7B2%7D%7B5%7D)
![P(Red\ and\ Red) = \frac{4}{25}](https://tex.z-dn.net/?f=P%28Red%5C%20and%5C%20Red%29%20%3D%20%5Cfrac%7B4%7D%7B25%7D)
Answer:
a = 9h + nb
Step-by-step explanation:
1) Variables:
a=total amount earned
h=hours worked in one week
n=number of items repaired
b=bonus amount for each item
2) He earns $9.00 an hour plus a bonus for each item repaired.
=> he earns 9 times the number of hours plus value of the bonus times the number of items repaired
=> a = 9h + nb
Answer:
B. 2 seconds, 5 seconds
Step-by-step explanation:
Looking at the graph, you can see that the vertex, or the point where the graph is at it's highest point, is at 2 seconds and a little over 2 meters in height. So, the time the ball reached it's maximum height was 2 seconds. Looking at the x-axis, which shows the overall time of the ball in the air, you see the ball does not reaching the ground (0 meters) until 5 seconds, so the total time in the air is 5 seconds.