Answer:
x=2 and y=−3
Step-by-step explanation:
Use math papa's systems of equations calculator that shows work!
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Answer:
= 6.
Step-by-step explanation:
We are given that n(A) = 4, n(B) = 5, and = 3.
And we have to find the value of .
<u>As we know that the union formula is given by;</u>
Now, substituting the values given in the question in the above formula, we get;
Hence, the value of = 6.
Answer:
The sound in a loud part of the room is 10000 times louder than sound in a quiet part of the same place.
Step-by-step explanation:
The acoustic intensity sound is a logarithmic function whose form is:
Where:
- Acoustic intensity sound, measured in decibels.
- Reference sound intensity, measured in watts per square meter.
- Real sound intensity, measured in watts per square meter.
Sound intensity is now cleared:
The ratio of the sound intensity in a loud part to the sound intensity in a quiet part is:
The sound in a loud part of the room is 10000 times louder than sound in a quiet part of the same place.
Answer:
3 1/3 times b
Step-by-step explanation:
- 10+3 = 13 (total of a and b)
= <u>3 1/3</u>
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.