Answer:
2 miles per hour
Step-by-step explanation:
We have to calculate the miles per hour of each person
Formula = Distance in miles/ Time in hours
a) For Pepe
Pepe averaged a speed of 4/5 of a mile in 1/10 of an hour
Hence,
= 4/5 miles / 1/10 hour
= 4/5 miles ÷ 1/10 hour
= 4/5 miles × 10/1 hour
= 8 miles per hour
b) For Paula
Paula averaged 5/6 of a mile in 1/12 of an hour.
Hence,
= 5/6 miles / 1/12 hour
= 5/6 miles ÷ 1/12 hour
= 5/6 miles × 12 hour
= 10 miles per hour
Therefore, In miles per hour, the number of miles Paula ran faster than Pepe is calculated as:
10 miles per hour - 8 miles per hour
= 2 miles per hour
Turn F(x) into vertex form:
y=x^2+8x+6
y-6=x^2+8x
y-6+16=x^2+8x+16
y+10=(x+4)^2
Thus the vertex is (-4,-10)
This is a minimum because the parabola is up up, or is positive
4k+44 = 10 k -10
-4k -4k
44 = 6k-10
+10 +10
54=6k
54/6 = 6k/6
9=k hope this helps
I think the answer will b