Write the explicit formula which can be used to represent the sequence 5,9,13,17
1 answer:
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Answer:
Step-by-step explanation:
<u>System Of Linear Equations </u>
In this problem, we'll need to solve a 3x3 system of linear equations because we have three unknowns and three conditions.
We are required to find the equation of the quadratic function that passes through the points (-1, 1), (1, 5), and (2,10)
The general quadratic function can be written as
We need to find the values of a,b, and c. Let's use the first condition, i.e. f(-1)=1
Now we use the second condition f(1)=5
Finally, we use the third condition f(2)=10
We put together eq 1, eq 2, and eq 3 to form the system
Adding the first two equations we have
And also
Using the above equation and the value of b in the third equation, we have
Subtracting the first equation from the second
And therefore
Now we have all the values, the quadratic function is
Answer to A:
50%
Explanation for A:
We're looking for how many numbers are odd, so theres 1, 3, 5 ,7, four numbers.
We have a total of 8 numbers.
To make any number a percent we move the point over to the right by two, which makes our final answer 50%
Answer to B:
37.5%
Explanation for B:
If the number is less than four, that means we need to find if it will roll the first three numbers. We, once again, have eight total possibilities
0.375 can be turned into our final answer, 37.5%