1/5 of 3 ..
=> 1/5 * 3 is same as 3 * 1/5 ..
=> 1/5*3 = 3/5 and 3* 1/5 also = 3/5 ...
here t<span>he </span>commutative property of multiplication is used ... which tells us that it doesn't matter in what order you multiply<span> numbers. The formula for this </span>property <span>is a * b = b * a. .... so if we know these properties it will be easy to figure out the answer ...
hope it helps !!!!</span>
Answer:
Step-by-step explanation:
(h o g) (-5) means the composition of the two functions, or h [ (g(-5) ].
This is, you first calculate g(-5) and then h [ g (-5) ].
So, g ( -5) = 2 * ( - 5) = - 10
And h (-10) = (-10)^2 + 4 = 100 + 4 = 104.
B is the right answer for this
Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750
Correct answer is C)</span>
Answer:
x = 3.2
Step-by-step explanation:
Since, intercepts made by parallel lines on the transversals are in proportion.
AB = BC.... (given)
From equations (1) & (2)
Therefore,
7x - 9 = 2x + 7
7x - 2x = 9 + 7
5x = 16
x = 16/5
x = 3.2
