(n + 1) P 3 = (n + 1)(n)(n - 1)
n P 4 = n(n - 1)(n - 2)(n - 3) so make those equal. Both have n and (n - 1) so divide by those to cancel them out leaving
n + 1 = (n - 2)(n - 3)
n + 1 = n^2 - 5n + 6
0 = n^2 - 6n + 5
0 = (n - 1)(n - 5)
so n either = 1 or = 5. But it can't be 1 since the number before P has to be ≥ the number after.
So the only answer is n = 5
Answer:
AB = 75 cm
Step-by-step explanation:
Since ABC is a straight line, then
AB + BC = AC
let BC be x then AB = 5x and summing gives
5x + x = 90
6x = 90 ( divide both sides by 6 )
x = 15
Thus
AB = 5x = 5 × 15 = 75 cm
Answer: me dont ride school bus
Step-by-step explanation:
At 0 seconds, the dolphin is 42 feet below the surface:
<span>x = 0, y = -42 </span>
<span>The y intercept = -42 (0,-42) </span>
x = the elapsed time in seconds
<span>y = depth of dolphin relative to the surface </span>
<span>The x intercept occurs when y = 0, and the y intercept occurs when x = 0 </span><span>
After 14 seconds, the dolphin is even with the surface (0 below the surface): </span>
<span>x = 14, y = 0 </span>
<span>
The x intercept = 14 (14,0) </span>
<span>The slope = (y2 - y1)/(x2 - x1) = 42/14 = 3. </span>
Therefore, the formula for this line, in slope intercept form is y = 3x - 42.
Answer:
x = -3
Step-by-step explanation:
3x –7 = -16
3x = -16 + 7
3x = -9
x = -3