Answer:
sure (✿^‿^)
Step-by-step explanation:
。◕‿◕。
Hi! how are you?
Answer:
25%
Step-by-step explanation:
The (not mentioned in the question) set is: 6 7 8 9.
There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:
P(9) = favorable outcome/total outcomes
P(9) = 1/4 = 0.25 or 0.25*100 = 25%
The only way to have two numbers that are the same and add up to be 15
is if they're both 7.5 , but those don't multiply to be 36. So I guess there's
no answer that satisfies all the conditions of this question.
Answer:
![\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3](https://tex.z-dn.net/?f=%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%20%20%3D%5Cfrac%7Bf%28x_2%29-f%28x_1%29%7D%7Bx_2-x_1%7D%20%3D%5Cfrac%7B6-%28-12%29%7D%7B3-%28-3%29%7D%20%3D%5Cfrac%7B18%7D%7B6%7D%3D%203)
Step-by-step explanation:
To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:
![Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}](https://tex.z-dn.net/?f=Average%5Chspace%7B3%7Drate%5Chspace%7B3%7Dof%5Chspace%7B3%7Dchange%3DSlope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%20%3D%5Cfrac%7Bf%28x_2%29-f%28x_1%29%7D%7Bx_2-x_1%7D)
So, the average rate of change of:
![f(x)=-x^2+3x+6](https://tex.z-dn.net/?f=f%28x%29%3D-x%5E2%2B3x%2B6)
Over the interval ![-3](https://tex.z-dn.net/?f=-3%3Cx%3C3)
Is:
![f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12](https://tex.z-dn.net/?f=f%28x_2%29%3Df%283%29%3D-%283%29%5E2%2B3%283%29%2B6%3D-9%2B9%2B6%3D6%5C%5C%5C%5Cf%28x_1%29%3Df%28-3%29%3D-%28-3%29%5E2%2B3%28-3%29%2B6%3D-9-9%2B6%3D-12)
![\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3](https://tex.z-dn.net/?f=%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%20%20%3D%5Cfrac%7Bf%28x_2%29-f%28x_1%29%7D%7Bx_2-x_1%7D%20%3D%5Cfrac%7B6-%28-12%29%7D%7B3-%28-3%29%7D%20%3D%5Cfrac%7B18%7D%7B6%7D%3D%203)
Therefore, the average rate of change of this function over that interval is 3.
Hello!
To find this out, figure out the amount of questions she got correct..
To get that number, multiply 96% as a decimal, (0.96) by 50.
0.96 * 50 = 48.
Turn 48 into fraction, (over 50)
48/50 is the answer.
Hope this helps!