Step-by-step explanation:
First, find the vertex. The x coordinate is -b/2a, or 12/-4=-3. Plug this back in to get -18+36-21 or -3, so the vertex is (-3, -3). Now, slowly make the x -2, -1, 0, 1, on and on. Because parabolas are symmetric along the vertex, they will have the same values as -4, -5, -6, on and on.
100 is the answer (100x 2 = 200)
Answer:
y = 5 e^r * t
Let y be the population in billions and t the value of elapsed years
7 = 5 e^r * t is the equation being used where t = 15
7/5 = e^r * t
ln 7/5 = r * t taking ln of both sides
r = .336 / 15 = .0224
y = 5 e^(.0224 t) is then our equation
Check - suppose you want y at 2020
y = 5 e^(.0224 * 20) would be the equation
y = 5 e^.449 = 7.83 billion - seems to be a reasonable answer
Answer:
<u>Cost = 25 + 50h</u>
cost for 8 hours of work = $425
cost for 10 hours of work = $525
Step-by-step explanation:
The question is as following:
A plumber charges $25 for a service call plus $50 per hour of service write an equation to represent the cost of hiring this plumber.
what will be the cost for 8 hours of work? 10 hours of work?
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A plumber charges $25 for a service call plus $50 per hour
<u>Cost = 25 + 50h</u>
Where h is the number of hours of service
8 hours of work: h = 8
Substitute with h = 8 at the equation of cost
<u>Cost = 25 + 50* 8 = $425</u>
10 hours of work: h = 10
Substitute with h = 10 at the equation of cost
<u>Cost = 25 + 50 * 10 = $525</u>
Answer:
Step-by-step explanation:
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