Answer:

Note: to write the domain in interval notation, you'd write [-4,5]
if you need the domain in set-builder notation, then you'd write

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Explanation:
The domain is the set of possible x input values. Look at the left most point (-4,-1). The x coordinate here is x = -4. This is the smallest x value allowed. The largest x value allowed is x = 5 for similar reasons, but on the other side of the graph.
So that's how I got

(x is between -4 and 5; inclusive of both endpoints)
Writing [-4,5] for interval notation tells us that we have an interval from -4 to 5 and we include both endpoints. The square brackets mean "include endpoint"
Writing

is the set-builder notation way of expressing the domain. The

portion means "x is a real number"
Number 2 for question 1 and number 4 for question 2
If you use a proportion, you'll get:

Then, you use cross products:

Then, you algebraically solve x:

The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.
Answer:
<h2>x = -347 1/2</h2>
Step-by-step explanation:
When solving algebra, it is important the we follow the steps in correct order and check our answer at the end.
Step 1: Simplify by combining like terms
y = -x/2 + 5/4 + 8y = -25
Step 2: Substitute
y = -25
-25 = -x/2 + 5/4 + 8(-25)
-25 = -x/2 + 5/4 + -200
-25 = -x/2 - 198 3/4
Step 3: Answer
x = -347 1/2
Step 4: Check
y = 3/2x + 5/4 −2x + 8y = −25
-25 = 3/2(-347 1/2) + 5/4 −2(-347 1/2) + 8(-25)
-25 = -25✔️
Step 5: Verified Answer
x = -347 1/2
I'm always happy to help :)