Answer:
1) x+6 2)y-4 3)36
Step-by-step explanation:
(x+6)² + (y-4)² = 36
Answer:
2 percent
Step-by-step explanation:
We can use two separate fractions, one representing the amount of physics majors expected and the amount of seniors expected in physics majors by the university.

Now cross multiply.

x will be removed.

Simplifying this fraction will get you
, which in percentage form, will be 2 percent.
The value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1
<h3>Limit of a function</h3>
The limit of a function is the limit of a function as x tends to a value.
From the given graph, you can see that the function g(x) goes large at the point where the arrows orange and purple point down from the x-coordinates -1 and 1.
Hence the value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1
Learn more on limit of a function here: brainly.com/question/23935467
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Answer:
5
Step-by-step explanation:
First figure out the equation:
We know this is a linear equation because it appears to have a constant slope
Its y-intercept is where it passes in the y-axis, so it's -8
Furthermore, you should also figure out the slope. Notice that the y value increments by 3 every 1 x-value. Rise/Run is 3/1 = 3. Thus, the slope is 3
So your equation is g(x) = 3x - 8
Now we find our inverse function, which is just swapping the x-y values.
Thus, inverse of g(x) ==> y = 3x - 8 ==> x = 3y - 8 ==> x+8 = 3y ==> 
Plug in 7 for x and you get 5

First, solve the parentheses:

Next, the exponential terms

Solve the multiplication:

Add and subtract: