Answer: x1 = 0; x2 = 5/3; x3 = 1/3
x1 + 2x2 - x3 = 3 => 2x1 + 4x2 - 2x3 = 6
2x1 + x2 - 2x3 = 1
=> 4x2 - x2 = 5
⇔ 3x2 = 5
⇔ x2 = 5/3
with x2 = 5/3, we have: x1 - x3 = 3 - 10/3 = -1/3
3x1 - 5x3 = 5 - 4.5/3 = -5/3
=> x1 = 0
x3 = 1/3
Step-by-step explanation:
f(x)=2x^2+0x-5
Find the vertex
0/4=0=x
Input x into the equation to find y or f(x)
0+0-5=f(x)
(0,-5) = Vertex
Now find a random x coordinate to input into the equation.
Let's do 4.
32+0-5=f(x)=27
It may not look like a parabola due to it being uneven.
Answer:
The height of Sandy is 68.74 inches.
Step-by-step explanation:
It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.
Let the height of Sandy be x.
Sandy casts a shadow that is 9 feet 2 inches long.
We know that 1 feet = 12 inches
Using this conversion, we get
Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches
In a right angled triangle,

In triangle ABC,


Multiply both sides by 110.



Therefore the height of Sandy is 68.74 inches.
Step-by-step explanation:
Hello,
First, there are 8 possible outcomes for the game spinner.
Second, the spinner is on 5, meaning that the outcome is 5.
Try to work with this, and if you need more help, I’ll answer back if I can.