Answer:
8
Step-by-step explanation:
7x - 5x = 14 + 2
2x = 16
x = 16/2
x = 8
Answer:
Step-by-step explanation:
You see that there’re angles with 30 and 90 degrees that means that -> 180-(90+30)=60 (measurement of the third angle)
Here you’ll need to use the 30,60,90 degree triangle rule:
The opposite side of 30 degree will be y
30->y
90->2y->12√3 => y=6√3
60->y√3->x => 6√3x√3=6x3=18
To understand the rule better you can check the picture below.Wish it will help you!Good luck!
Answer:
The average rate of change is -3.
Step-by-step explanation:
Given : Function
over the interval 2 ≤ x ≤ 4.
To find : What is the average rate of change ?
Solution :
Function
over [2,4]
The rate of change is the slope of the line,
So, ![\text{Rate of change}=\frac{f(4)-f(2)}{4-2}](https://tex.z-dn.net/?f=%5Ctext%7BRate%20of%20change%7D%3D%5Cfrac%7Bf%284%29-f%282%29%7D%7B4-2%7D)
![f(4)=-3(4)+79](https://tex.z-dn.net/?f=f%284%29%3D-3%284%29%2B79)
![f(4)=-12+79](https://tex.z-dn.net/?f=f%284%29%3D-12%2B79)
![f(4)=67](https://tex.z-dn.net/?f=f%284%29%3D67)
![f(2)=-3(2)+79](https://tex.z-dn.net/?f=f%282%29%3D-3%282%29%2B79)
![f(2)=-6+79](https://tex.z-dn.net/?f=f%282%29%3D-6%2B79)
![f(2)=73](https://tex.z-dn.net/?f=f%282%29%3D73)
Substitute,
![\text{Rate of change}=\frac{67-73}{4-2}](https://tex.z-dn.net/?f=%5Ctext%7BRate%20of%20change%7D%3D%5Cfrac%7B67-73%7D%7B4-2%7D)
![\text{Rate of change}=\frac{-6}{2}](https://tex.z-dn.net/?f=%5Ctext%7BRate%20of%20change%7D%3D%5Cfrac%7B-6%7D%7B2%7D)
![\text{Rate of change}=-3](https://tex.z-dn.net/?f=%5Ctext%7BRate%20of%20change%7D%3D-3)
Therefore, The average rate of change is -3.
Answer:
(13+83+85+87+90+91+93+97+98+99+100+100):12= 85,33
Answer:
A.
, because probability values cannot be greater than 1.
C. -1.5, because probability values cannot be less than 0.
Step-by-step explanation:
Probability is the extent to which an event is likely to happen. It ranges from 0(impossible) to 1(certain). Probability values can be written in decimal form or in fractional form.
The following numbers could not be used to represent the probability of an event.
A.
, because probability values cannot be greater than 1.
C. -1.5, because probability values cannot be less than 0.