Step-by-step explanation:
As x approaches negative infinity, h(x) approaches positive infinity / negative infinity, which is an indeterminate form.
Therefore we use L'Hospital's Rule:
Derivative = 30x⁵ / 7x⁶ = 30 / (7x)
As x approaches negative infinity, 30 / (7x) approaches 0, and it comes from below because it is a rational graph with positive coefficient.
Hence the anewer is C.
Y = 1/5x - 2
Perimeter = 2(x + y)
P = 2(x + 1/5x - 2)
<span>P = 12/5x - 4</span>
A coefficient of r = -1 is a negative so the dots would move downward as they move to the right ( higher dots are on the left side, lower dots on the right side. As the coefficient gets closer to -1 the dots form more of a straight line then being scattered across the graph.
The last graph, which is marked with the blue dot is the correct one.
Answer:
As a rule of thumb, if you know only the two shorter side, their ratio is the tangent of the angle opposed to the side you use as a numerator.
If you know one side and the hypotenuse, the ratio side/hypotenuse is either the sine of the opposite angle, or the cosine of the adjacent angle.
Answer:
The box contains 20 milk chocolates.
Step-by-step explanation:
Given that the chocolate box has milk chocolates and dark chocolates in a ratio of 2 milk chocolates for every 3 dark, and the total number of chocolates in the box is 50 units, to determine how many milk chocolates are in the box. it is necessary to perform the following calculation:
50 / (2 + 3)
50/5
10
Milk chocolates: 2 x 10 = 20
Dark chocolates: 3 x 10 = 30
Therefore, the box contains 20 milk chocolates.