H ( x ) = - 6 + x
m = 1 ( the slope )
b = - 6 ( y - intercept )
x - intercept:
0 = - 6 + x
x = 6
The graph is going through Quadrants: I, II and IV.
Answer:
B ) Quadrant II, because the slope is positive and y-intercept is negative.
Total number of pastries = 54 + 31 + 10 = 95
Number of croissants = 10
Probability of picking a croissant = 10/95
On simplifying, we get, <u>2/19</u>
8h/3+19
Move all terms to the left
8-(h/3+19)=0
Get rid of parentheses
-h/3-19+8=0
Multiply all terms by denominator
-h-19*3+8*3=0
Add all numbers and variables together
-1h-33=0
Move all terms containing h to the left all other terms to the right
-h=33
h=33/-1
h=-33
Consider the following functions. f={(−4,−1),(1,1),(−3,−2),(−5,2)} and g={(1,1),(2,−3),(3,−1)}: Find (f−g)(1).
fenix001 [56]
Answer:
0
Step-by-step explanation:
Subtraction of functions has the property:
f={(−4,−1),(1,1),(−3,−2),(−5,2)} has (1,1) means that f maps 1 to 1, therefore f(1) = 1
g={(1,1),(2,−3),(3,−1)} has (1,1), means that g maps 1 to 1, therefore g(1)=1
As a Result, since (f−g)(1) = f(1) - g(1), we have (f−g)(1) = 1-1=0
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.
