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kenny6666 [7]
2 years ago
10

The Domain of a functions has which values?

Mathematics
1 answer:
Oliga [24]2 years ago
3 0

Answer:

The domain of a function is the complete set of possible values of the independent variable. In plain English, the definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Step-by-step explanation:

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Which graph represents the solution set of the system of inequalities? {x+y<12 y≥x−4
RSB [31]

Answer: The graph in the bottom right-hand corner

(see figure 4 in the attached images below)

===========================================

Explanation:

Let's start off by graphing x+y < 1. The boundary equation is x+y = 1 since we simply change the inequality sign to an equal sign. Solve for y to get x+y = 1 turning into y = -x+1. This line goes through (0,1) and (1,0). The boundary line is a dashed line due to the fact that there is no "or equal to" in the original inequality sign. So x+y < 1 turns into y < -x+1 and we shade below the dashed line. The "less than" means "shade below" when y is fully isolated like this. See figure 1 in the attached images below.

Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.

After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.

5 0
3 years ago
Read 2 more answers
Find the area of a triangle with a base length of 4 units and height of 5 units.
ruslelena [56]
Area of a Triangle = 1/2 * b * h
A = 1/2 * 4 * 5
A = 1/2 * 20
A = 10 units

In short, Your Answer would be Option C

Hope this helps!
7 0
3 years ago
Jerry is a judge. he hears 5 cases every 2 3/8 hours how many cases does he haer per hour
vampirchik [111]

Answer:

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Step-by-step explanation:

5 cases in 2 3/8 hours

The unit rate of cases per hour is calculated by dividing the number of cases by the number of hours.

5/(2 3/8) = 5/(19/8) = 5 * 8/19 = 40/19 = 2 2/19

7 0
3 years ago
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Paha777 [63]

Answer:D

hope this helps

3 0
3 years ago
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(3x-1)(ax+b) = 12x² - 19x + cWork out the values of a, b and c.
Snezhnost [94]
The value of a, b, c is
a=4
b= -5
c= 5

4 0
3 years ago
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