6(2x-11)+15=3x+12 Given
12x-66+15=3x+12 Distribution
12x-51=3x+12 Combine like terms
12x=3x+63 addition
9x=63 subtraction
x=7 division
the value of x that makes the equation true is 7.
Answer:
(i) A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
Since A ∧ B (the symbol ∧ means A and B) is true only when both A and B are true, its negation A NAND B is true as long as one of A or B is false.
Since A ∨ B (the symbol ∨ means A or B) is true when one of A or B is true, its negation A NOR B is only true when both A and B are false.
Below are the truth tables for NAND and NOR connectives.
(ii) To show that (A NAND B)∨(A NOR B) is equivalent to (A NAND B) we build the truth table.
Since the last column (A NAND B)∨(A NOR B) is equal to (A NAND B) it follows that the statements are equivalent.
(iii) To show that (A NAND B)∧(A NOR B) is equivalent to (A NOR B) we build the truth table.
Since the last column (A NAND B)∧(A NOR B) is equal to (A NOR B) it follows that the statements are equivalent.
The perimeter of Jake window is 16x - 2 inches
<h3><u>Solution:</u></h3>
Given that height of Jake window is 5x - 3 inches
Also given that width is 3x + 2 inches
To find: perimeter of Jake window
We know that, in general a window is of rectangular shape
<em><u>The perimeter of rectangle is given as:</u></em>
Perimeter of rectangle = 2(length + width)
Substituting the values we get,
Perimeter of rectangle = 2(5x - 3 + 3x + 2)
Perimeter of rectangle = 2(8x - 1) = 16x - 2
Hence, the perimeter of the window is 16x – 2 inches