So from the onset, the answer to this question would be
OPTION B.In a conjunction, / is true when both / and / are<span>
TRUE</span>; otherwise, / is
FALSE.
A conjunction refers to a compound statement, developed by combining two statement often through the use of the word '
AND'. For example, the two statements, 'Roses are Red' (statement
p) .... 'Violets are Blue' (statement
q), can be combined to form a conjunction that reads 'Roses are Red and Violets are Blue.' When it comes to conjunctions, it is or equivalent to the intersection of the two sets of statements (p and q → p ∩ q) which therefore means that <span>
in order for the conjunction to be true, both statements must be true, otherwise, the conjunction is false.
</span>
Attached below is a truth table that seeks to further explain the point (note: ^ represent the conjunction).
1X1-1: 0
2X2-1: 3
3X3-1: 8
4X4-1: 15
5X5-1: 24
6X6-1: 35
7X7-1: 48
<span>*8X8-1: 63*</span>
2x+4=3x-2
-2x -2x
----------------
4=x-2
+2 +2
--------------
6=x
Answer:
g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Step-by-step explanation:
The statement that best compares the graph of g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:
Given the function
f(x) = x² and g(x) = (1/4x)² the image of f(x) after one transformation.
The transformation shows that g(x) stretches away from y-axis.
Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).
Then we use the scale factor to divide g(x)
1 ÷ ¼ = 1 x 4/1 = 4
So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4