Answer:
Option 2.
Step-by-step explanation:
To solve this, let's first find the values given to us.
The two x-intercepts are (4, 0) and (12, 0).
The parabola opens downward, meaning the value of a should be negative.
The vertex is (8, 32).
We know it is 8 because the halfway point between the x-intercepts is 8.
We can already eliminate option 3 because option 3 has a positive value of a.
This leaves us with options 1, 2, and 4.
The easiest way to figure out which option is correct is to graph the remaining functions in a graphing calculator.
The graph of a function that meets all of the above values is the correct function.
After graphing all of the functions, option 2 was the only one that had a vertex of (8, 32). So, option 2 is correct.
Answer:
8√2 or 8sqrt2
Step-by-step explanation:
60 people like Ronaldo, and 24 of those 60 people also like Messi.
60-24=36
36 people like Ronaldo only.
The correct answers are the second option (Option B) and the last option (Option E).
The explanation is shown below:
1. By definition, a geometric sequence is a sequence of numbers each number, after the first one, is the result of multiply the previous number by a common ratio.
2. The Option B has the following common ratio:
(2/3) / (4/9)=1.5
1/(2/3)=1.5
r=1.5
3. The Option E has the following common ratio:
-15/3=-5
75/-15=-5
r=-5
Answer:
<em>Bionic Woman wins by 4 seconds.</em>
<em></em>
Step-by-step explanation:
Given:
Speed of Batman = 3 km/min
Speed of Bionic woman = 5 km/min
Total distance = 2 km
Start given to Batman = 12 seconds
To find:
Winner of the race and by how many seconds?
Solution:
Start given to Batman = 12 second start
Let us find the Distance traveled by Batman in 12 second.
12 seconds = minutes
Hence, distance left for batman to be traveled = 2 - 0.6 = 1.4 km
Time taken by Batman = seconds = 28 seconds
Distance for Bionic woman to be traveled = 2 km with 5 km/min
Time taken by Bionic Woman = minutes = 24 seconds
Bionic woman is taking lesser time, So the winner of the race will be Bionic woman.
She will win by 28-24 = 4 seconds
So, answer is:
<em>Bionic Woman wins by 4 seconds.</em>