The x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively
<h3>How to determine the x-intercept and asymptote of g(x)?</h3>
The equation of the function is given as:
g(x) = log3 (x - 4)
Set the function to 0, to determine the x-intercept
log3 (x - 4) = 0
Express the function as an exponential function
x - 4 = 3^0
Evaluate the exponent
x - 4 = 1
Add 4 to both sides
x = 5
Set the radical to 0, to determine the asymptote
x - 4 = 0
Add 4 to both sides
x = 4
Hence, the x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively
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When multiplying a whole number by a fraction, put the whole number as a fraction over one. 9/1 times 3/4. When multiplying fractions, you multiply straight across. 9(3)=27 and 1(4)=4. The new fraction is 27/4.
Answer: B) x ≈ 2.25
<u>Step-by-step explanation:</u>
graph: y = -2ˣ + 3 and y = -3⁽⁻ˣ⁾ - 2 using any graphing tool (see attached).
The solution is the intersection of the graphs.
Notice that the solution is between x = 2.25 and x = 2.5, however it is closer to x = 2.25. <em>The exact answer is x = 2.34</em>
we can use this equation to solve:
a = final amount
p = initial amount
r = percentage increment (in decimal form)
n = amount of time interest is compounded
t= time (in years)
Since the guy w withdrew $300 and saw that his account still has $2021 left, he must have had $2321 in total.
5% interest is .05 in decimal form
since the account is compounded monthly, n=12
Because the account has been collecting interest for 3 months and t is supposed to be in years, dividing 3 by 12 will yield 1/4, or . 25
Set x as the measure of the angle.
5x=x-12
5x-x=-12
4x=-12
x=-3