Answer:
Step-by-step explanation:
So we have the limit:
Let's remove the fractions in the denominator by multiplying both layers by (6+x)(6). So:
Distribute:
Simplify the numerator:
Both the numerator and the denominator have an x. Cancel:
Direct substitution:
Simplify:
And that's our answer.
And we're done!
Given:
The graph of a function is given.
To find:
The range of the graph.
Solution:
We know that, the domain is the set of input values and range is the set of output values.
In a graph, domain is represented by the x-axis and range is represented by the y-axis.
From the given graph it is clear that there is an open circle at (-8,-8) and a closed circle at (3,4). It means the function is not defined at (-8,-8) but defined for (3,4).
The graph of the function is defined over the interval . So, the domain is (-8,3].
The values of the function lie in the interval . So, the range is (-8,4].
Therefore, the range of the function are all real values over the interval (-8,4].
The answer is 9. because... (8+9) + 32= 49
Ni is not correct. To solve
the equivalent quarterly interest rate, the annual interest rate should be multiplied
by the correct ratio. Since the annual interest rate is 4% per year. So in 1 quarter
is equal to 0.25 year.
<span>(4% / year) (0.25 year/ 1
quarter) = 1% per quarter</span>
Answer:
x = -1/2
Step-by-step explanation:
To solve the equation, we first need to combine like terms:
Simplify further:
Divide by -12 on both sides to get:
To check the solution, plug x back into the original equation and check if we get the correct answer:
Thus, it checks out and our answer is correct.