Step-by-step explanation:
For the parabola( top question)
- X intercepts are (2,0) (4,0)
- Y intercepts are (0,4)
- Intervals of Increasing are [3, ♾)
- Intervals of decreasing are (- ♾, 3]
- The domain is All Real Numbers or (-♾, ♾)
- The range is [1, ♾)
- There is no maximum value of this function
- The minimum value is -1
- The axis of symmetry is x=3
- f(6)=4
For the absolute value equation, bottom question
- X intercepts is (2,0)
- Y intercepts are (0,3)
- The Intervals of Increasing are [2,infinity)
- The Intervals of decreasing are ( negative infinity,2]
- The domain is All Real Numbers or (negative ♾, positive ♾)
- Range is [0, positive ♾)
- There is no maximum value of the function
- The minimum value is 0
- f(-1)=4.5
Answer:
Z
Step-by-step explanation:
The required equation of line is:
![y=-x+1](https://tex.z-dn.net/?f=y%3D-x%2B1)
Step-by-step explanation:
Given
m=-1
And point (2,-1)
The general form of slope intercept form of equation of line is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Putting the value of the slope
![y=-(1)(x)+b\\y=-x+b](https://tex.z-dn.net/?f=y%3D-%281%29%28x%29%2Bb%5C%5Cy%3D-x%2Bb)
To find the value of b, putting (2,-1) in the equation
![-1=-(2)+b\\-1=-2+b\\b = 2-1\\b=1](https://tex.z-dn.net/?f=-1%3D-%282%29%2Bb%5C%5C-1%3D-2%2Bb%5C%5Cb%20%3D%202-1%5C%5Cb%3D1)
Putting the values of b and m in equation
![y=-x+1](https://tex.z-dn.net/?f=y%3D-x%2B1)
The required equation of line is:
![y=-x+1](https://tex.z-dn.net/?f=y%3D-x%2B1)
Keywords: Equation of line
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4/5 for each person. Hope this helps!
Answer:
$204.29
Step-by-step explanation:
Ratios:
![\frac{35}{100} =\frac{71.5}{x} \\\\35x=7150\\x=204.29](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7B100%7D%20%3D%5Cfrac%7B71.5%7D%7Bx%7D%20%5C%5C%5C%5C35x%3D7150%5C%5Cx%3D204.29)
Double check:
204.29(0.35) = 71.50