Answer:
f(x) crosses the x-axis, then
f(x)=(x+4)^6(x+7)^5 = 0
=> x+4 =0 or x+7=0
=> x =-4 or x = -7
<h3>
Answer:</h3>
- running speed: 8 mph
- walking speed: 2 mph
<h3>
Step-by-step explanation:</h3>
Let w represent Lizette's walking speed. Then her running speed is w+6. The relationship between speed, time, and distance is ...
distance = speed × time
Lizette ran for 1.5 hours, then walked for 3 hours. Her total distance is ...
(w+6)·1.5 + w·3 = 18
4.5w + 9 = 18 . . . . . simplify
4.5w = 9 . . . . . . . . . subtract 9
w = 2 . . . . . . . . . . . .divide by 4.5
Lizette's walking speed is 2 mph; her running speed is 8 mph.
Pennies (P) = 24
Nickels = 1/2P
Dimes = 1/2P + 5
Quarters = (1/2P + 5) -6
Therefore...
Nickels = 1/2P = 1/2(24)= 12
Dimes = 12 + 5 = 17
Quarters = 17 - 6 = 11
