Answer:
Utility's percent Change from 2010 to 2020 = 7%
Step-by-step explanation:
Jobs available at the utility industry in 2010= 428.5 thousand
Average rate of decline = 3 thousand
Years between 2010 and 2020
Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100
Total change in jobs:
There are 10 years between 2010 and 2020
Jobs decline at an average of 3 thousand per year
Total change in jobs= 10 years × 3 thousand
= 30 thousand
Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100
= 30 thousand / 428.5 thousand × 100
= 0.07 × 100
= 7%
Utility's percent Change from 2010 to 2020 = 7%
Since the big triangle is an isosceles one, we conclude that the angles of the left triangle are: 32, 90 and 3x-10. Sinche the sum of this angles have to be 180° we have:

Solving for x, we have:

Therefore, x=22.67 and the answer is A.
The graphs of f(x) and g(x) are transformed function from the function y = x^2
The set of inequalities do not have a solution
<h3>How to modify the graphs</h3>
From the graph, we have:
and 
To derive y < x^2 - 3, we simply change the equality sign in the function f(x) to less than.
To derive y > x^2 + 2, we perform the following transformation on the function g(x)
- Shift the function g(x) down by 2 units
- Reflect across the x-axis
- Shift the function g(x) down by 3 units
- Change the equality sign in the function g(x) to greater than
<h3>How to identify the solution set</h3>
The inequalities of the graphs become
y < x^2 - 3 and y > x^2 + 2
From the graph of the above inequalities (see attachment), we can see that the curves of the inequalities do not intersect.
Hence, the set of inequalities do not have a solution
Read more about inequalities at:
brainly.com/question/25275758
Answer:

Step-by-step explanation:
Given
The attached graph
Required
Determine the range of the graph
First, we list out the coordinate of each point on the graph:
The points are:

A function has the form: (x,y)
Where
y = range:
From the coordinate points above,

Order from least to greatest"

Hence, the range are: 
X=1119/2 hope this helps :)