Answer:
The fastest runner is Katie
Step-by-step explanation:
In order to determine this, we must first put them all in the same terms. For the purpose of this, we will put them all in feet per second.
Katie
14 feet/1 second = 14 ft per second
Zach
576 feet/46 seconds = 12.52 ft per second
Tony
1 mile/533 seconds = 5280 feet/533 seconds = 9.91 ft per second
Will
827 feet/1 minute = 827 feet/60 seconds = 13.78 ft per second.
So we know that the fastest is Katie.
Isolate the variable by dividing each side by factors that don’t contain the variable.
X = -2
Hope this helps!
Have a great day!
Answer:
Step-by-step explanation:
im stealing ur points london ily <33333
To have roots as described, that means we have the following factors: From multiplicity 2 at x=1 has (x-1)^2 as its factor From multiplicity 1 at x=0 has x as a factor From multiplicity 1 at x = -4 has a factor of x+4 Putting these together we get that P(x) = A (x) (x+4) (x-1)^2 Multiply these out and find P(x) = A (x^2 + 4x) (x^2 - 2x + 1) A ( x^4 - 2x^3 + x^2 + 4x^3 - 8x^2 + 4x ) Combine like terms and find P(x) = A (x^4 + 2x^3 - 7x^2 + 4x) To find A, we use the point they gave us (5, 72) P(5) = A [ (5)^4 + 2(5)^3 - 7(5)^2 + 4(5) ] = 72 A [ 625 + 250 - 175 + 20 ] = 72 A [ 720 ] = 72 Divide both sides by 720 and find that A = 0.1 Final answer: P(x) = 0.1 ( x^4 + 2x^3 - 7x^2 + 4x) or P(x) = 0.1 x^4 + 0.2 x^3 - 0.7x^2 + 0.4x
