The answer should be B 30 degrees
Answer: I(x)=12x
Step-by-step explanation:
Let I represent the total money earned
Let x represent the number of toys sold
Since each toy is 12 dollars, then the company will earn 12 dollars for each toy that is sold.
Therefore, the equation is,
I(x)=12x
Answer:
a =
Step-by-step explanation:
Given:
f(x) = log(x)
and,
f(kaa) = kf(a)
now applying the given function, we get
⇒ log(kaa) = k × log(a)
or
⇒ log(ka²) = k × log(a)
Now, we know the property of the log function that
log(AB) = log(A) + log(B)
and,
log(Aᵇ) = b × log(A)
Thus,
⇒ log(k) + log(a²) = k × log(a) (using log(AB) = log(A) + log(B) )
or
⇒ log(k) + 2log(a) = k × log(a) (using log(Aᵇ) = b × log(A) )
or
⇒ k × log(a) - 2log(a) = log(k)
or
⇒ log(a) × (k - 2) = log(k)
or
⇒ log(a) = (k - 2)⁻¹ × log(k)
or
⇒ log(a) =
(using log(Aᵇ) = b × log(A) )
taking anti-log both sides
⇒ a =
Answer: option A is the correct answer.
Step-by-step explanation:
The expression that relates revenue, profit and cost is
Profit = Revenue - Cost
The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. Therefore,
p(x) = r(x) - c(x)
p(x) = 11x - (6x + 20)
By expanding the bracket, the minus sign will alter each term in the bracket. Therefore,
p(x) = 11x - 6x - 20
p(x) = 5x - 20
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