Answer: The correct option is
(D) {3, 10, 17, 24, …}.
Reasoning:
We are given to select the sequence that represents the following function with a domain of natural numbers :
The set of natural numbers is {1, 2, 3, 4, . . .}
to find the sequence, we need to substitute x = 1, 2, 3, 4, . . . in equation (i).
From equation (i), we get
Therefore, the sequence that represents the given function is {3, 10, 17, 24, …}.
Thus, option (D) is CORRECT.
Angle SRT is undetermined by the question.
A diameter always subtends a right angle (Thales' Theorem, the first in geometry) so we can be assured SRU, STU, RUT and RST are right angles.
Answer:
a) 2/2 + 2/2 = 2
b) 2/2 + 1/2 = 3/2
c) 2/2 + 0/2 = 1
d) 0/2 + 0/2 = 0
Step-by-step explanation:
a) 2 points : 2/2 + 2/2 = 2
if henry wins both games than we get probability =2
b) 1 1/2 or 3/2 : 2/2 + 1/2 = 3/2
if henry wins one game and tie another game we get probability =3/2
c) 1 point: 2/2 + 0/2 = 1
if henry wins one game and loose second game, we get probability 1
d) 0 points: 0/2 + 0/2 = 0
if henry loose both games we get probability 0
6x² + 2x - 20 = 0
3(2x² + x - 10) = 0
3[(2x² - 4x + 5x - 10)] = 0
3[2x(x - 2) + 5(x - 2)] = 0
3(2x + 5)(x - 2) = 0
3=0, 2x + 5 = 0, x - 2 = 0 (Note: 3=0 is false so disregard that equation)
x = 
, x = 2
Answer: x = {, 2}
