The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.
- x ≠ 0
- y ≠ 0
- Sign(x) =sign(y)
<h3>
Which points are solutions of the inequality?</h3>
We want to find points of the form (x, y) that are solutions of the inequality:
x*y > 0
Clearly x and y must be different than zero.
So, for example if x = -1, y can be any negative number, for example y= -3
x*y > 0
(-1)*(-3) > 0
3 > 0
This is true.
Now if x = 1, y must be positive. LEt's take y = 103, then:
x*y > 0
1*103 > 0
103 > 0
Then we have 3 conditions:
- x ≠ 0
- y ≠ 0
- Sign(x) =sign(y)
The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.
If you want to learn more about inequalities:
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15 + .65x = 80
15 + .65x = 80
15 - 15 + .65x = 80 - 15
.65/.65x = 65/.65
x = 100
Beth swam 100 laps.
Answer:
350
Step-by-step explanation:
The solution to the equation can be found by multiplying by the denominator, then dividing by its coefficient.
The missing value in the fraction is 350.
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<em>Additional comment</em>
Here, we have rewritten the percentage as a decimal fraction. You could also rewrite it as a ratio of two integer: 22% = 22/100. Sometimes there is confusion about percentages. It can help to think of the % symbol as meaning /100:
22% = 22/100
Of course, that is "twenty-two hundredths" or 0.22.
If you just write the problem using 22/100 for 22%, then you get the proportion ...
22/100 = 77/x
22x = 7700 . . . . . "cross multiply" (multiply by 100x)
x = 7700/22 = 350 . . . . divide by the coefficient of x
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If you're paying attention, you see that the solution of this kind of equation has the appearance that the denominator variable and the left-side value are simply swapped:
Effectively, we have multiplied both sides of the equation on the left by x/0.22. There is a <em>property of equality</em> that lets us do that. There is no such thing as a property of equality that says "swap with denominator." You must always pay attention to what is allowed by the properties of equality.
Answer:
5
Step-by-step explanation:
Hello!
We put in 2 for x and 6 for y
Now we can solve this
The answer is 5
Hope this helps!
Answer:
≈ 5
Step-by-step explanation:
<u><em>You can use the Pythagorean Theorem to solve this:</em></u>
<u><em>Now plug in the numbers into the formula:</em></u>
36 + = 64
<u><em>Subtract 36 from both sides:</em></u>
36 + = 64
-36 -36
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= 28
<em><u>Square both sides:</u></em>
b = 5.29
b ≈ 5