A. 12*x + 2*y = 90
6*x + 2*y = 60
To write system of equation you just need to sum all solo and ensemble acts and make it equal to how much they will last for.
B. Here we can multiply second equation with negative 1 and add it to first equation.
6x = 30
x = 5
now we replace x in any of 2 equations to get y.
30+2y = 60
2y = 30
y=15
Solo acts are 5 minutes long and ensemble acts are 15 minutes long
Alright, lets get started.
The given function is :

When we find the domain of any function, we consider the domian is set of input values for which function should remain real and defined.
In this given function , we have not given any points where function seems going undefined.
Hence the domain is : (-∞, +∞) : Answer
Hope it will help :)
Answer:

Step-by-step explanation:
When x = 3, y = 13
When x = 5, y = 37
Subtract both y-values to find the change:
37 - 13 = 24
Average of the change:
= 12
The function g(x) is g(x)= (3x)^2
<h3>
How to solve for g(x)?</h3>
The complete question is in the image
From the graph in the image, we have:
f(x) = x^2
The function f(x) is stretched by a factor of 3 to form g(x).
This means that:
g(x) = f(3x)
So, we have:
g(x)= (3x)^2
Hence, the function g(x) is g(x)= (3x)^2
Read more about function transformation at:
brainly.com/question/10222182
#SPJ1
Option B, 1/3
Since pepper topping can be in any size pizza, it remains as a 1/3 probability, since there are three toppings per size.