At x = 0, y = 5.
At x = 1, y = 10.
At x = 2, y = 20.
At x = 3, y = 40.
y is greater than 50 before x reaches 3.5.
If we check each choice:
A cannot be true, or else the y-values should be increasing by 10 each month (ex. 10, 20, 30, 40, 50).
B cannot be true, or the y-values would be decreasing.
C cannot be true, or the y-values should be increasing much faster (ex. 10, 100, 1000, 10000)
D is true, since the y-values are doubling (5, 10, 20, 40).
So the correct answer is D.
Answer: 30
Step-by-step explanation:
Because you can break the pentagonal base into triangles and the formula to find the area of a triangle is 1/2 Bh so 840/14 = 60 divided by 1/2 = 30
Answer:
The population will be 334,958.
Step-by-step explanation:
Multiply 338,000 by 0.009 to get the answer. The reason is to multiply by a percentage, you move the decimal two spots to the left. For example, 0.9 -> 0.009. Another would be 3 -> 0.03.
Answer:
- The effect of the negative sign is that it reflects the graph of the function over the x-axis.
- That means that the graph that represents such function is a parabola that opens downward, being its vertex the maximum of the graph.
Explanation:
The vertex form of a parabola is y = A (x - h)² + k.
The values of A, h, and k means the following:
- A > 0 the parabola opens upward and the vertex is a minimum,
- A < 0 the parabola opens downward and the vertex is a maximum.
- A cannot be equal to zero.
- | A | > 0 the parabola is stretched vertically.
- | A | < 0 the parabola is compressed vertically.
- The vertex of the function is the point (h, k).
So, for the given function you have:
- A = - 1/2, so the parabola opens downward and the vertex is the maximum.
- Also, since |A| < 1 means that the parabola is compressed vertically.
- The vertex is (1, 3), so the maximum of the function is 3 and it happens at x = 1.