Answer:
p = 1.5 and q = 9
Step-by-step explanation:
Expand the right side then compare the coefficients of like terms on both sides, that is
4(x + p)² - q ← expand (x + p)² using FOIL
= 4(x² + 2px + p²) - q ← distribute parenthesis
= 4x² + 8px + 4p² - q
Comparing coefficients of like terms on both sides
8p = 12 ( coefficients of x- terms ) ← divide both sides by 8
p = 1.5
4p² - q = 0 ( constant terms ), that is
4(1.5)² - q = 0
9 - q = 0 ( subtract 9 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9
Answer:
(-11,11]
Step-by-step explanation:
the first circle is open so it is the () parentheses, the second circle is closed so it is the [] brackets.
Answer:
84
Step-by-step explanation:
From the table Given, the number of families who listen to pop music on radio could be obtained by taking n(pop n radio) ; that is the intersection of pop and radio on the table, this value is 84.
Therefore, the number of families who listen to pop music on radio is 84
Answer:
x = 13
Step-by-step explanation:
Since the two given angles are vertical angles, we know (5x) = 65.
Divide both sides by 5 : <u>5x = 65</u> and we get x = 13
5