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Answer:
f(g(x)) = x² - 5x +4
Step-by-step explanation:
<u><em>Explanation</em></u>
Given that the functions
f(x) = x² + 3 x and g(x) = x-4
f(g(x)) = f(x -4) (∵ g(x) = x-4)
= (x-4)² + 3(x-4)
= x² - 2(4)x + 4² + 3x -12
= x² - 8 x + 16 + 3x -12
= x² - 5x +4
∴ f(g(x)) = x² - 5x +4
The lateral area is represented in the diagram by a rectangle 11 cm wide and
(8 + 15 + 17) cm = 40 cm long.
The lateral area is
(11 cm)*(40 cm) = 440 cm²
Answer:
B
Since the vertex is (-3,-2) The x value should be +3
Answer:
0.627%
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability of a randomly selected household to be audited and owns a dog = P(A ∩ B) = P(A) x P(B)
where A = household tax returns audited
B = percentage of households that own dogs
0.0165 x 0.38 = 0.627%
