Answer: y = -14/9(x + 4)^2 + 7
Step-by-step explanation:
The given roots of the quadratic function is (-1, -7)
The vertex is at (-4, 7)
The formula is
y = a(x - h)^2 + k
The vertex is (h, k)
Comparing with the given vertex, (-4, 7), h = -4 and k = 7
Substituting into the formula
y = a(x - h)^2 + k, it becomes
y = a(x - - 4)^2 + 7
y = a(x + 4)^2 + 7
From the roots given (-1, -7)
x = -1 and y = -7
Substituting x = -1 and y = -7 into the equation,
y = a(x + 4)^2 + 7, it becomes
-7 = a(-1+4)^2 + 7
-7 = a(3^2 ) + 7
- 7 = 9a + 7
-7-7 = 9a
9a = -14
a = -14/9
Substituting a = - 14/9 into the equation, it becomes
y = -14/9(x + 4)^2 + 7
Answer:
Total number of kilometers in the ride = 5 km
Number of kilometers Garret has already biked = k km
Number of kilometers Garret left to ride = 5 - k km
Number of minutes Garret takes per kilometer = 4 minutes.
Step-by-step explanation:
1. It takes 4 minutes for Garret to go a kilometer. Then
Number of minutes Garret takes per kilometer = 4 minutes.
2. Suppose the variable is the number of kilometers Garret has already biked.
3. Garret is partway through a 20-minute bike ride. It takes 4 minutes for him to go a kilometer. Then
Total number of kilometers in the ride is
4. Suppose the variable is the number of kilometers Garret has already biked. Then km is the number of kilometers Garret left to ride.
Answer: If she is going 1 mile per hour she will drive 4.5 miles in 4 hours and 30 minutes
Answer:
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Step-by-step explanation: