Answer:
No, the equation does not represent a direct variation.
Step-by-step explanation:
The answer is immediately evident: NO. The reason for this is that no direct variation equation includes a vertical intercept.
Here 2y = 5x + 1 becoems y = (5/2)x + 1/2; the y-intercept 1/2 is problematic.
If we were to drop the constant 1, then 2y = 5x, or y = (5/2)x; this represents direct variation with the constant of proportionality 5/2.
Answer: Jonathan spends more time playing video games because 3/5 of the time he is playing video games, while Lucas is only playing thirty minutes out of sixty, which simplifies into 1/2. Jonathan plays 60% of the time and Lucas plays 50%.
Step-by-step explanation:
(7x + 4)(7x + 4) and (x – 9)(x – 9) are Perfect square trinomial. (5x + 3)(5x – 3) and (–3x – 6)(–3x + 6) shows the Difference of squares.
<h3>What is a perfect square?</h3>
A perfect square is a number system that can be expressed as the
square of a given number from the same system.
The following are the answers
(5x + 3)(5x – 3) Difference of squares
(7x + 4)(7x + 4) is a Perfect square trinomial
(2x + 1)(x + 2) has Neither a difference of squares nor a perfect square trinomial.
(4x – 6)(x + 8) has Neither a difference of squares nor a perfect square trinomial.
(x – 9)(x – 9) is Perfect square trinomial
(–3x – 6)(–3x + 6) =
Difference of squares.
Learn more about perfect square:
brainly.com/question/1415730
ANSWER
Yes, f is a function.
EXPLANATION
The domain of the relation is D = {xlx is a state in the United States}
The rule is that f(x) ="the state capital"
The relation will be a function if and only if no two elements in the first set have the same image in the second set.
Since no two states will have the same capital, the relation is a function.
Answer:
-1/6
Step-by-step explanation:
-1.5-(-0.5)
over
3-(-3)
slope= -1/6