Answer:
(-3, ∞)
Step-by-step explanation:
Since this is an upward opening parabola, it will expand as it approaches infinity, so the first and second answers are wrong.
We can tell by the graph that the y value of the vertex is at -3, so that means the answer can't be the fourth one.
Therefore, the answer is (-3, ∞)
Answer:
Area of the triangle is 10 square units
Step-by-step explanation:
Recall that the formula for the area of a triangle is: "base x height / 2", and in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:
Area = 4 x 5 / 2 = 10 square units.
1. added four to both sides
2. divided both sides by two
Answer:
14
Step-by-step explanation:
Replace each instance of x with 0 to find f(0):
f(0) = (3/2)(0) + 14 = 14
