Step-by-step explanation:
54 = 2 * 3³
72 = 2³ * 3²
To find the GCF of 54 and 72,
we find the highest common powers of their prime factors.
Highest common power for 2: 2
Highest common power for 3: 3²
Hence GCF of 54 and 72 = 2 * 3².
The answer is Option 2.
Hi there!
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I believe your answer is:

Keep in mind that this is APPROXIMATE.
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Here’s why:
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Hope this helps you. I apologize if it’s incorrect.
Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
For one to one function each element in the domain is mapped on to an one and only one element in the co-domain.
The could be some elements in the co-domain that are not being used.
For a function to be one to one, then for

if and only if

For an onto function all the elements in the co-domain must be used up.
In order words, the

The condition is

Meaning each
The distance a baseball travels when a player hits the ball varies directly with the speed with which the player swings the bat. The graph below shows the distances a baseball travels (in feet) and the speed of the swing (in miles per hour). A graph titled Baseball Speed has speed of swing (in miles per hour) on the x-axis, and distance (in feet) on the y-axis. A line goes through points (0, 0), (40, 200), (60, 300). Based on the graph, which relationship exists between the speed of the swing and the distance the ball travels?
Answer: the realtionship between exists is (50, 145)