There is no horizontal asymptote because the numerator has a higher exponent. It has a slant asymptote.
Hello!
Recall that the equation of an exponential graph is:
We can see from the graph there is a y-intercept at y = 5. Plugging in 0 for x results in:
Solve for b by plugging in another point on the graph:
Write the final equation:
Answer:
B
Explanation:
Exponents outside of the parentheses have to be distributed to all of the terms inside of the parentheses. So, B is equivalent because it is simply just the version that has the exponent distributed.
Answer:
f(x) = |x - 2| - 2
Step-by-step explanation:
Based on the shape of the graph, it's an absolute value function.
so the template for it is f(x) = |x|
From there, you can make some additions to show how much the graph has shifted from the template equation
since the graph went over to the left by 2 units and down by 2 units, this is added into the equation as follows:
f(x) = |x - 2| - 2
By taking the quotient between the total length and the length needed for each step, we conclude that Luna can make 9 steps.
<h3>
How many steps can she make from the rope?</h3>
To find this, we need to take the quotient between the total length of the rope and the length needed for each step.
She has a total length of 30ft.
For each step she needs (2 + 1/3) ft plus (1/2) ft for each knot, and there are two knots, then each step needs: (2 + 1/3)ft + 2*(1/2)ft = (3 + 1/3) ft.
Then the number of steps that can be made is:
N = (30 ft)/(3 + 1/3) ft. = 9
She can make 9 steps or the lader.
If you want to learn more about quotients:
brainly.com/question/8952483
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