Firstly, since these two fractions have the same denominator, add the numerators up: 
While it appears that the answer is -6/4, you can further simplify it by dividing the numerator and denominator by 2: 
<u>Your answer is
</u>
That's a right triangle with hypotenuse 3000 and the height y is the side opposite the elevation angle of 15 degrees.

We can actually compute

exactly but I won't bother.
Answer:
The expression 6x should be 6x^2.
Step-by-step explanation:
Given is the chart of multiplication of the binomial by the trinomial.
Let's check each element in the chart:-
3x times x^2 = 3x^3
3x times 2x = 6x^2
3x times 4 = 12x
2 times x^2 = 2x^2
2 times 2x = 4x
2 times 4 = 8
From the given chart, we can identify that <u>6x should be 6x^2.</u>
Hence. option B is correct, i.e. The expression 6x should be 6x^2.
Answer:
See below
Step-by-step explanation:
then f(x)=0 if x<0 and f(x)=x if x≥0.
When x→-∞, f is the constant function zero, therefore
. When x→∞, f(x)=x and x grows indefinitely. Thus 
f is differentiable if x≠0. If x>0, f'(x)=1 (the derivative of f(x)=x) and if x<0, f'(0)=0 (the derivative of the constant zero). In x=0, the right-hand derivative is 1, but the left-hand derivative is 0, hence f'(0) does not exist,
f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).
Answer:
A manufacturer can save money by making a can that maximizes volume and minimizes the amount of metal used. For a can with radius r and height h, this goal is reached when 2πr³ = πr²h. Part A Solve the equation for h.
Step-by-step explanation: