x = # of balcony seats
y = # of orchestra seats
We have to create a system of equations to solve this problem
x + y = 256
$8x + $12y = $2,716
We will solve this system of equations by elimination.
Multiply the first equation by -8
-8x - 8y = -2048
8x + 12y = 2716
Let's add the equations together
0 + 4y = 668
Simplify the left side
4y = 668
Divide both sides by 4
y = 167
We can subtract 167 from 257 to get the number of balcony seats.
257 - 167 = 90 balcony seats
There are 167 orchestra seats and 90 balcony seats
I believe the last one about right triangles. That’s why Pythagorean Theorem works.
A semi circle is half a full circle. Find the area of the full circle and divide it by 2.
Area of a circle = pi x r ^2
R is half the diameter
Area of full circle:
Area = 22/7 x 21^2
Area = 1386 sq. Ft
Area of stage = 1386/2 = 693 square feet
Answer:
The interval notation for the domain is ![[\frac{23}{3},\infty ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B23%7D%7B3%7D%2C%5Cinfty%20%20%5D)
.
Step-by-step explanation:
Consider the provided information.
It is given that 
We need to find the value of 
.
Put the value of g(x) in .
....(1)
Now, put x=x-7 in 
From equation 1.
The domain of the function is the set of input values for which a function is defined.
Here, the value of 
should be greater or equal to 0 as the square root of a negative number is not real.
Domain= 
The value of x is all real number greater than 
.
Hence, the interval notation for the domain is .
