Answer:
1. false
2. false
3. true
Step-by-step explanation:
1. If the value of a was negative, then the graph of the quadratic would open downwards because the negative sign would induce a reflection of the graph over the x-axis.
However, we can see from the graph that the quadratic opens up, so a is not negative and this statement is false.
2. The vertex of a quadratic equation is the minimum or maximum point. Here, since the graph points up, the vertex will be the minimum point. That point is actually (3, -1). Clearly, this is not (-1, 3), so the statement is false.
3. The axis of symmetry is essentially the line with the x-value of the vertex. Since the x-coordinate of the vertex is 3, that means the axis of symmetry is the line x = 3. Thus, the statement is true.
Answer:
-3
Step-by-step explanation:
1 - 6n = -n + 16
1 - 5n = 16
-5n = 15
n = -3
Y=-4 is linear, anything not linear would be a quadratic in this instance
Answer:
a. 43.96 feet
b.153.86 square feet
Step-by-step explanation:
Hi, the path through the middle of the circular garden is the diameter.
Since the diameter is equal to:
Diameter = 2 radius (r)
Solving for r
14 =2r
14/2 = r
r = 7 feet
The distance around the outside of this garden is the perimeter.
Perimeter of a circle (P) = 2 π r
Replacing with the values given:
P = 2 (3.14) 7 = 43.96 feet
b. area of the circle-
Area of a circle (A)= π r²
Replacing with the values given:
A = 3.14 (7²) =153.86 square feet
