Answer:
a² + b²
Step-by-step explanation:
(a + b)² - 2ab ← expand parenthesis using FOIL
= a² + 2ab + b² - 2ab ← collect like terms
= a² + b²
The roots of the parabola is where the x-intercepts are so the answer is x=-1 and x= 5
It seems like the details of what p and q <em>are </em>in this context aren't all that important; it's the logical structure of the statement "p⇒q" we need to look at. We read that logical statement as "p implies q," where p is our <em>hypothesis</em> and q is our <em>conclusion</em>. When we take the converse of a logical statement, we reverse the hypothesis and the conclusion. In this case, <em>p </em>wouldn't imply <em>q</em>, but <em>q </em>would imply <em>p</em> in the converse of p⇒q. We'd write this statement as:
q⇒p
Answer:
C
Step-by-step explanation:
Firstly, we know that the function must be negative due to its shape. This means that the answer cannot be B
Next we can use the equation
that is used in order to find the vertex of the parabola.
A)

As the vertex is at x=3 on the graph, this one could be a contender.
C)

This also could be the equation
D)

This rules option D out.
For this last step, we can look at where the zeroes would be for each equation. (These values are irrational, so we cannot look at specific number)
A)

As this equation has a negative value for c, this means that one zero must be positive and the other must be negative.
This means that option A can be ruled out
C)

As this equation has a positive value for c, this means that both of the zeroes must be positive. This means that it is the only one that fits all of the criteria.
3\4a=24 multiply both sides by 4 to get rid of 4(4 x 24=96)
3a=96 divide both sides by 3 to remain with a
a=32