If you let x represent the number of free throws.
let y represent the number of two-point field goal.
let z represent the number of three-point shots made.
Then the correct system of linear equations is as follows:
x + 2y + 3z = 29 (The total number of points scored is 29.)
z = 3x - 29 (The number of 3-pointers was 29 less than 3 times the number of free throws.)
2y = z + 15 (Twice the number of 2-point shots made was 15 more than the number of 3-pointers.)
Solution:
This basketball player scored 10 points via free throws (10 at 1 point each), 16 points via 8 two-point shots made, and 3 points via 1 three-point shots made. So, in the choice its letter D.
X ≥ 0
y ≥ 0
f(x, y) = 3x + 7y
f(0, 0) = 3(0) + 7(0)
f(0, 0) = 0 + 0
f(0, 0) = 0
3x + 2y ≤ 18 ⇒ 3x + 2y = 18 ⇒ 21x + 14y = 126
6x + 7y ≤ 42 ⇒ 6x + 7y = 42 ⇒ <u>12x + 14y = 84</u>
<u>9x</u> = <u>42</u>
9 9
x = 4²/₃
3x + 2y = 18
3(4²/₃) + 2y = 18
14 + 2y = 18
<u>- 14 - 14</u>
<u>2y</u> = <u>4</u>
2 2
y = 2
(x, y) = (4²/₃, 2)
f(x, y) = 3x + 7y
f(4²/₃, 2) = 3(4²/₃) + 7(2)
f(4²/₃, 2) = 14 + 9
f(4²/₃, 2) = 23
Answer:
FGTEEV
Step-by-step explanation:
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Hi
15/3 = 5
24/3 = 8
15/24 = 5/8
Answer: 5/8
Answer:
18.1 cm
Step-by-step explanation:
Consider a segment parallel to CD and passing through B.
This segment will form a right-angle triangle with A
It's length would be equal to the length of CD (the missing length)
Height of that triangle:
11 - 4 = 7
CD² = 16² - 7²
CD² = 207
CD = sqrt(207)
AC² = AD² + CD²
AC² = 11² + 207
AC² = 328
AC = 2sqrt(82)
Which is roughly 18.1 cm
