![f(x)=2x^2-4x+1](https://tex.z-dn.net/?f=f%28x%29%3D2x%5E2-4x%2B1)
Substitute the values of x to the equation of the function f:
![x=-1\to f(-1)=2(-1)^2-4(-1)+1=2(1)+4+1=7\\\\x=2\to f(2)=2(2^2)-4(2)+1=2(4)-8+1=1](https://tex.z-dn.net/?f=x%3D-1%5Cto%20f%28-1%29%3D2%28-1%29%5E2-4%28-1%29%2B1%3D2%281%29%2B4%2B1%3D7%5C%5C%5C%5Cx%3D2%5Cto%20f%282%29%3D2%282%5E2%29-4%282%29%2B1%3D2%284%29-8%2B1%3D1)
Therefore we have two points (-1, 7) and (2, 1).
We can calculate the slope of line l.
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Substitute:
![m=\dfrac{1-7}{2-(-1)}=\dfrac{-6}{3}=-2](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B1-7%7D%7B2-%28-1%29%7D%3D%5Cdfrac%7B-6%7D%7B3%7D%3D-2)
<h3>Answer: A) -2.</h3>
Answer:
SAS Similarity
Step-by-step explanation:
given by lines 1, 2, & 3
Answer: Santa's speed in still air is 6 miles per minute
Speed of the wind is 1 mile per minute
Step-by-step explanation:
Let x represent the speed of Santa in still air. It is assumed that in still air. She is flying with the wind. If the speed of the wind is y, then him total speed is x + y
It takes Santa 5 minutes to fly 35 miles with the wind.
Speed = distance / time
It means that
x + y = 35/5 = 7
It takes him 7 minutes to fly 35 miles against the wind. This means that his total speed will be x - y
Speed = distance/time. Therefore,
x - y = 35 /5 = 5 - - - - - - 1
Substituting x = 7 - y into equation 1, it becomes
7 - y - y = 5
-2y = 5 - 7 = -2
y = -2/-2 = 1
x = 7 - y = 7 - 1
x = 6
Answer:
m = 1.8
Step-by-step explanation:
Given data is as follows :
x 1 2 3 4 5 6
f 1 4 7 m 6 3
We need to find the value of m if the mean of the data is 3.8.
Mean = sum of observations/no. of observations
So,
![3.8=\dfrac{1+4+7+m+6+3}{6}\\\\22.8=21+m\\\\22.8-21=m\\\\m=1.8](https://tex.z-dn.net/?f=3.8%3D%5Cdfrac%7B1%2B4%2B7%2Bm%2B6%2B3%7D%7B6%7D%5C%5C%5C%5C22.8%3D21%2Bm%5C%5C%5C%5C22.8-21%3Dm%5C%5C%5C%5Cm%3D1.8)
So, the value of m is equal to 1.8.
Jim buys 2*15=30 apples
To get the answer we have to find 90% of 30
90% = 0.9
0.9*15=27
Now we can subtract 30-27=3 - its the answer