Joshua is traveling in to Europe and needs to exchange some of his money. $1 is worth .85 euros. Find how much Joshua will get with $40.
Answer:
Step-by-step explanation:
<u>Given:</u>
- f(x) =3x - 8 and g(x) = x² + 4
- f(g(- 2)) = ?
<u>First find g(- 2):</u>
- g(- 2) = (-2)² + 4 = 4 + 4 = 8
<u>Find f(8):</u>
- f(8) = 3*8 - 8 = 24 - 8 = 16
4 + 6 = 10
10 * 4 = 40.
The full equation looks like this....
4(4+6)
"Some Number" is 6.
<span>Highest point = 1406.25
Number of seconds = 9.375
We've been given the quadratic equation y = -16t^2 + 300t which describes a parabola. Since a parabola is a symmetric curve, the highest value will have a t value midway between its roots. So using the quadratic formula with A = -16, B = 300, C = 0. We get the roots of t = 0, and t = 18.75. The midpoint will be (0 + 18.75)/2 = 9.375
So let's calculate the height at t = 9.375.
y = -16t^2 + 300t
y = -16(9.375)^2 + 300(9.375)
y = -16(87.890625) + 300(9.375)
y = -1406.25 + 2812.5
y = 1406.25
So the highest point will be 1406.25 after 9.375 seconds.
Let's verify that. I'll use the value of (9.375 + e) for the time and substitute that into the height equation and see what I get.'
y = -16t^2 + 300t
y = -16(9.375 + e)^2 + 300(9.375 + e)
y = -16(87.890625 + 18.75e + e^2) + 300(9.375 + e)
y = -1406.25 - 300e - 16e^2 + 2812.5 + 300e
y = 1406.25 - 16e^2
Notice that the only term with e is -16e^2. Any non-zero value for e will cause that term to be negative and reduce the total value of the equation. Therefore any time value other than 9.375 will result in a lower height of the cannon ball. So 9.375 is the correct time and 1406.25 is the correct height.</span>
