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tester [92]
3 years ago
14

Someone help me with my math homework?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0

Answer:

c

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
2 years ago
Read 2 more answers
Help please I would appreciate it ! 10 points
Helen [10]

Answer:

B and d

Step-by-step explanation:

b and d

3 0
3 years ago
Read 2 more answers
ABCD is a rectangle. AD = 15, AC = 25, and DC = 20. Find BD.
agasfer [191]

Answer:

20

Step-by-step explanation:

it is the same length as DC just going diagonal.

(i am not good at explaining in case you could not tell)

6 0
3 years ago
Solve log (x + 1) = –x2 + 10 by graphing
Anit [1.1K]
 Your answer would be x = 3.0645

CHECK
log (3.0645 + 1) ?=? -(3.0645)2 + 10
log 4.0645 ?=? -9.3912 + 10
0.609 ?=? 0.609

Hope this helps!

So in short your answer is x = 3.0645
3 0
3 years ago
Read 2 more answers
Philip writes 2 pages per hour. How many hours will Philip have to spend writing this week
lukranit [14]

Answer:

8 hours

Step-by-step explanation:

If he writes 2 pages a hour and needs 16 pages, then you would have to divide 16 by 2 which is 8.

To double check that, you can multiply 8 by 2 which is 16.

You answer is 5 hours.

3 0
3 years ago
Read 2 more answers
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