Answer:
2x + 3y ≥ 5
Step-by-step explanation:
See the graph attached.
The bold straight line passes through the points (1,1) and (4,-1).
Therefore, the equation of the straight line will be
⇒ 3(y + 1) = - 2(x - 4)
⇒ 3y + 3 = - 2x + 8
⇒ 2x + 3y = 5 ............. (1)
Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).
So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5
Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)
The formula for area of triangle is -
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So, the area of first triangle =
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Area of second triangle =
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Area of second triangle - Area of first triangle
In economics, the downward sloping demand curve is used to illustrate the law of diminishing marginal utility. This means that if more of the product is consumed, the marginal benefit to the consumer falls. This is also the instance in which the consumers are willing to pay less than the original amount for the same product.
Plus or minus 3. (The 1st answer)
x^2 means (-3*-3) which equals 9
x^2 means (3838) which also equals 9
6*9=54
For odd functions f(-x) = -f(x).
Given that f(x) = 3sin(x)
f(-x) = 3sin(-x) = -3sinx = -f(x).
Therefore, f(x) = 3sin(x) is an odd function.
