Answer:
Adam
Step-by-step explanation:
Speed is calculated with the formula distance over time.
Convert all measurements to the same unit: ft/s.
<u>Speed of Frank:</u>
d/t
=11/s
<u>Speed of Emily:</u>
d/t
=86/10
=8.6/s
<u>Speed of Adam: </u>
There are 5280 feet in a mile.
d/t
=5280/388
=13.6/s
<u>Speed of Noah:</u>
There are 60 seconds in a minute.
d/t
=600/60
=10/s
Adam runs the fastest because 13.6 > 11 > 10 > 8.6.
Answer:
f(x) = -2 (x + 2)² - 4
Step-by-step explanation:
f(x) = a (x - h)² + k (h , k) is vertex h = -2 k = -4
pass point (-1 , -6) f(x) = -6 and x = -1
-6 = a (-1 - (-2))² + (-4)
-6 = a - 4
a = -2
quadratic function: f(x) = -2 (x + 2)² - 4
Answer:

Step-by-step explanation:
Move
to the denominator in 
using the negative exponent rule 
Answer:
13, 14, 15
Step-by-step explanation:
Let x = age of one of the siblings
Since the age of the siblings are consecutive integers, the age of the next sibling would be x + 1 and the age of the third sibling would be x + 2
x +( x +1) + (x +2) = 42
3x + 3 = 42
collect like terms and solve for x
x = 13
The age of the first sibling is 13
The age of the second sibling is x + 1 = 13 + 1 = 14
The age of the third sibling is x + 2 = 13 + 2 = 15