Answer:
the other root is 8/3
q is 40
Step-by-step explanation:
Consider the product
(x -a)(x -b) = x^2 -(a+b)x +ab = 0
This is a quadratic with roots "a" and "b". We see that the x coefficient (-(a+b)) is the opposite of the sum of the roots, and that the final constant is their product. The leading coefficient in this quadratic is 1.
Dividing the given quadratic by 3, we see that the sum of the two roots is -7/3. So, the other root is ...
r = -7/3 -(-5) = 8/3
The product of the roots is -q/3, so ...
-q/3 = -5(8/3) = -40/3
q = 40 . . . . . . . . . . . . . multiply by -3
The other root is 8/3; the value of q is 40.
600,000 + 80,000 + 700 + 5 is the answer!
The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
<h3>Define the term permutation?</h3>
- The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
- The arrangement's order is essential when using permutations.
For the stated data;
Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.
There are total 9 digits (0 - 9).
There are total 26 letter (A - Z)
Repetitions of letters and numbers given allowed.
Thus, numbers and the letters ca be arranged as;
1st place = 9 ways.
2nd place = 9 ways.
3nd place = 9 ways.
4th place = 26 ways.
6th place = 26 ways.
7th place = 9 ways.
8th place = 9 ways.
Total ways = 9×9×9×26×26×9×9
Total ways = 39917124
Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
To know more about the permutation, here
brainly.com/question/1216161
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Answer:20
Step-by-step explanation:
Mode is whatever number in the sequence appears the most!