Answer:
f^-1(x) = (x-1)/-3
Step-by-step explanation:
Invert equation:
Describe X in original function:
multiplied by -3
add 1
Reverse order:
subtract 1
divide by -3
Answer:
Since there are six possible outcomes, the probability is 1/6.
Y = -x² + 3x - 1
x = 2y - 1
x = 2(-x² + 3x - 1) - 1
x = 2(-x²) + 2(3x) + 2(-1) - 1
x = -2x² + 6x - 2 - 1
x = -2x² + 6x - 3
<u>- x - x </u>
0 = -2x² + 5x - 3
x = <u>-(5) +/- √((5)² - 4(-2)(-3))</u>
2(-2)
x = <u>-5 +/- √(25 - 24)</u>
-4
x = <u>-5 +/- √(1)
</u> -4
x = <u>-5 +/- 1</u>
-4
x = <u>-5 + 1</u> or x = <u>-5 - 1</u>
-4 -4
x = <u>-4</u> x = <u>-6</u>
-4 -4
x = 1 x = 1.5
2y - 1 = x
2y - 1 = 1
<u> + 1 + 1</u>
<u>2y</u> = <u>2</u>
2 2
y = 1
(x, y) = (1, 1)
or
2y - 1 = x
2y - 1 = 1.5
<u> + 1 + 1 </u>
<u>2y</u> = <u>2.5</u>
2 2
y = 1.25
(x, y) = (1.5, 1.25)
The two solutions is equal to (1, 1) and (1.5, 1.25).
<u />
What we have so far:
Kinetic energy = 0. The reason behind that is because the beam is not moving at a height of 40m.
Gavity, g = 9.8m/s²
Height = 40m
Potential energy = mgh; this is equal to 0 because m, stands for mass and in this problem, we do not have a value for the mass of the beam. Hence, 0 x 9.8m/s² x 40m = 0. Potential energy = 0.
Solution:
We will use the equation of Total energy:
TE = potential energy + kinetic energy
TE = 0 + 0
∴ TE = 0
The answer is: Assuming no air resistance, the total energy of the beam as it hits the ground is 0.
If you convert 1/4 into 5/20 then 13/20 + 5/20 = 18/20
