Answer:
1,773.33 Mexican pesos
Step-by-step explanation:
Create a proportion where x was how many Mexican pesos it was worth:
=
Cross multiply and solve for x:
133 = 0.075x
1773.33 = x
So, it was worth approximately 1,773.33 Mexican pesos
What does 4^2x-4=1 equal
2 answers:
If the starting equation is
4²<em>ˣ</em> - 4 = 1
first move the 4 on the left to the right side:
4²<em>ˣ</em> = 5
Take the base-4 logarithm of both sides:
log₄(4²<em>ˣ</em> ) = log₄(5)
Drop the exponent on the left, using the property :
2<em>x</em> log₄(4) = log₄(5)
Now for any <em>b</em>, so
2<em>x</em> = log₄(5)
Solve for <em>x</em> by dividing both sides by 2:
<em>x</em> = 1/2 log₄(5)
You can also express this as
<em>x</em> = log₄(√5)
to make the solution slightly more compact.
You can also use the change-of-base identity to rewrite the solution as
<em>x</em> = log(5) / (2 log(4))
where the base of the logarithm is arbitrarily chosen. Then
<em>x</em> = log(5) / log(4²)
<em>x </em>= log(5) / log(16)
<em>x</em> = log₁₆(5)
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Remember that a rational function will have an oblique asymptote if the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. Since the degree of the numerator of our rational function is 2, and the degree of its numerator is 1, our function will have an oblique asymptote. To find it, we are going to use long division:
with a remainder of 3.
The quotient of the division will be the terms of the linear equation that represents the oblique asympote of our function; notice that you don't need to use the remainder at all:
Equation of the oblique asymptote:
We can conclude that the correct answer is <span>C) y = 2x + 3.</span>
The quotient of the division will be the terms of the linear equation that represents the oblique asympote of our function; notice that you don't need to use the remainder at all:
Equation of the oblique asymptote:
We can conclude that the correct answer is <span>C) y = 2x + 3.</span>