NEED HELP ASAP!!! WILL MARK BARINLIEST!!!
1 answer:
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Answer:
- 1-point: 4
- 2-point: 9
- 3-point: 3
Step-by-step explanation:
Let x, y, z represent the numbers of 1-, 2-, and 3-point baskets, respectively. The given relations are ...
x +2y +3z = 31 . . . . . . total points scored
y -x = 5 . . . . . . . . . . . 5 more 2-point baskets than free throws
y = 3z . . . . . . . . . . . . 3 times as many 2-point baskets as 3-point baskets
Using the second equation to write an expression for x, we have ...
x = y -5
Substituting this and the third equation into the first, we get ...
(y -5) +2y +(y) = 31
4y = 36 . . . . . . . . . . . add 5, collect terms
y = 9
x = 9 -5 = 4
z = y/3 = 9/3 = 3
The player made 4 free throws, 9 2-point baskets, and 3 3-point baskets.
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<em>Alternate solution</em>
The equations can be written in augmented matrix form as ...
Row-reducing this matrix using any of a number of calculators gives (x, y, z) = (4, 9, 3), as above.
a) <u>n² + 6 </u>
~Here n is the number of term. So, put n = 1,2,3,4.... to get the term.
- If n = 1, first term = 1² + 6 = 7
- n = 2, second term = 10
- n = 3, third temm = 15
- n = 4, fourth term = 22
- n = 10, tenth term = 106
b) <u>3n²</u>
- If n = 1, first term = 3
- n = 2, second term = 12
- n = 3, third term = 27
- n = 4, fourth term = 48
- n = 10, tenth term = 300