Answer:
The number of A's Dina got = 5/11 × 77 = 385
/11 = 35
Step-by-step explanation:
The number of A's Pete , Chris and Dina received are in the ratio of 4:2:5.
Let the total number of A's = y
Total from ratio = 4 + 2 + 5 = 11
chris A's = 2/11 × y
pete's A's = 2/11 × y + 14 = 4/11 × y
pete's A's
2/11 y + 14 = 4/11 y
14 = 4/11 (y) - 2/11 (y)
14 = 2/11 (y)
cross multiply
2y = 14 × 11
divide both sides by 2
y = 154/2
y = 77
Total number of A's = 77
The number of A's Dina got = 5/11 × 77 = 385
/11 = 35
Given the functions
(a) f(x) = x³ + 5x² + x
(b) f(x) = x² + x
(c) f(x) = -x
Function (a)
f(-x) = (-x)³ + 5(-x)² + (-x)
= -x³ + 5x² - x
= -(x³ - 5x² + x)
The function is neither even nor odd.
Function (b)
f(-x) = (-x)² + (-x)
= -(-x² + x)
The function is neither even nor odd.
Function (c)
f(-x) = -(-x)
= x
= -f(x)
Because f(-x) = -f(x) the function is odd.
Answer: f(x) = -x is an odd function.
Step-by-step explanation:
1. By angle bisector property or theorem
2. Multiplying both side by PC