The measure of angle 1 would be (3x+2) and the measure of angle 2 would be (5x+10). There is no way to determine the exact degrees of these angles because not enough information is given.
Answer:
The y-intercept of the equation is 100 and represents the initial studio-use fee.
Step-by-step explanation:
In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.
Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.
P = 50(0) + 100
P = 100
Therefore the y-intercept is 100.
In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.
Hope this helped!
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x). ...
If you can't seem to solve for x, then try graphing the function to find the range.
Step-by-step explanation:
<u>Given:</u> [{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ
<u>Asked:</u> Find the value of n = ?
<u>EXPLANATION</u><u>:</u>
Given that:
[{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ
⇛[{(6)² * (6)^(1/2) * (6)^(5/2}/(36 * 3 * 12)]² = 6ⁿ
⇛[{6² * 6^(1/2) * 6^(5/2)}/(36 * 36)]² = 6ⁿ
⇛[{6² * 6^(1/2) * 6^(5/2)}/(6*6 * 6*6)]² = 6ⁿ
⇛[{6² * 6^(1/2) * 6^(5/2)}/(6² * 6²)]² = 6ⁿ
⇛(6³⁻²)² = 6ⁿ
⇛(6¹)² = 6ⁿ
⇛6² = 6ⁿ
When an exponential has the same base on each side, then the exponents must be equal.
Therefore, n = 2.
<u>Answer</u><u>:</u> The Value of “n” for the given problem is 2.
