For the answer to the question above,
Suppose that for x sales the number of tokens the employee earns is:
<span>ax^3 + bx^2 + cx + d </span>
<span>Therefore: </span>
<span>a(1^3) + b(1^2) + c(1) + d = 1 </span>
<span>a(2^3) + b(2^2) + c(2) + d = 6 </span>
<span>a(3^3) + b(3^2) + c(3) + d = 12 </span>
<span>a(4^3) + b(4^2) + c(4) + d = 19 </span>
<span>Therefore: </span>
<span>a + b + c + d = 1 </span>
<span>8a + 4b + 2c + d = 6 </span>
<span>27a + 9b + 3c + d = 12 </span>
<span>64a + 16b + 4c + d = 19 </span>
<span>Solve that to get: </span>
<span>a = 0 </span>
<span>b = 1/2 </span>
<span>c = 7/2 </span>
<span>d = -3 </span>
<span>Therefore, the formula is: </span>
<span>(1/2)x^2 + (7/2)x - 3 </span>
Answer:
a) n<1 and n>5
b) 0 < n < -4
c) n > 2 and n < -2
Step-by-step explanation:
The signal is given by x[n] = 0 for n < -1 and n > 3
The problem asks us to determine the values of n for which it's guaranteed to be zero.
a) x[n-2]
We know that n -2 must be less than -1 or greater than 3.
Therefore we're going to write down our inequalities and solve for n
Therefore for n<1 and n>5 x [n-2] will be zero
b) x [n+ 3]
Similarly, n + 3 must be less than -1 or greater than 3
Therefore for n< -4 and n>0, in other words, for 0 < n < -4 x[n-2] will be zero
c)x [-n + 1]
Similarly, -n+1 must be less than -1 or greater than 3
Therefore, for n > 2 and n < -2 x[-n+1] will be zero
Answer:
A prime number is a number with exactly two factors. A prime number is only divisible by 1 and itself. Another way to think of prime numbers is that they are only ever found as answers in their own times tables.
Step-by-step explanation:
<span>On a certain survey it says:
12 out 15 people in the United States prefer eating at the restaurant rather
than home.
To know how many percent is this.
=> 12 / 15
=> 0.8 which is also 80%
Now, the 80% of the those people in the
survey is 400.
Find the total number of people who took
the survey.
Since we already have the 80%, we need to find the number of 20%
=> 400 x 20%
=> 400 x .20
=> 80
=> 400 + 80
=> 480 => the total number of people who took the survey
</span>
Answer:
1st to 4th: Sam, Cras, Randy, Charte
Step-by-step explanation:
The places are determined by putting the times in increasing order.
<u>time</u>, <u>place</u>, <u>name</u>
25.85, 1st place, Sam
25.90, 2nd place, Cras
32.20, 3rd place, Randy
32.28, 4th place, Charte
_____
<em>Additional comment</em>
Sometimes it is easier to compare values when they all have the same number of decimal places.