Answer:
B
Step-by-step explanation:
1/2x - 2 > 0
collect like terms
1/2x > 0 + 2
1/2x > 2
Divide both sides by 1/2
x > 2 divided by 1/2
inverse of 1/2 is 2/1
x > 2 times 2/1
x > 4
Yes but it dose depend on the problem
Answer:
Graph C
Step-by-step explanation:
Hi there!
The given linear equations are organized in slope-intercept form: 
where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept, or the value of y when the line crosses the y-axis.
y = 2x + 4
Here, the <em>b</em> value is 4. Therefore, the y-intercept of this line is 4.
y = -3x - 2
Here, the <em>b</em> value is -2. Therefore, the y-intercept of this line is -2.
To identify the graph that models these equations, we just have to look for the graph where the lines cross the y-axis at 4 and -2.
The only graph that does this is graph C.
I hope this helps!
Answer:
Step-by-step explanation:
y = x² + 4x is an up-opening parabola with x-intercepts 0 and -4.
y ≥ 0 when x≤-4 or x≥0
range: (-∞,-4)∪[0,+∞)
The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.
<h3>How to calculate the domain of the function?</h3>
In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:
0= -4.87t² + 18.75t.
4.87t(-t + 3.85) = 0
t = 0 or t = 3.85.
Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).
<h3>How to calculate the range of the function?</h3>
h(t) = -4.87t² + 18.75t
h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)
h(t) = -4.87(t - 1.925)² + 18.05
Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).
Read more on domain here: brainly.com/question/17003159
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