Answer:
The function has two x-intercepts.
The vertex of the function is (one-quarter, negative 6 and one-eighth).
Step-by-step explanation:
Given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.
f(x) = 2x² - x - 6 has the following coefficients:
a = 2
b = -1
c = -6
x-coordinate of the vertex is:
x = -b/(2a)
x = 1/(2*2) = 1/4
y-coordinate of the vertex is:
f(1/4) = 2(1/4)² - 1/4 - 6 = -6 1/8
Answer:
Yes
Step-by-step explanation:
Every x value has one y-value.
Answer:
Answer is 3.5
Step-by-step explanation:
slope is 7/2 which is 3.5:)
Answer:
720 mi²
Step-by-step explanation:
The map has a scale of 1 in: 30 mi, meaning that for every inch you see on the map, in the real-life location, it will measure 30 miles. So we can find the area of the park on the map and then turn it into miles using the scale:
Area of a rectangle:
Replace the known values:
The area on the map is 24 mi², we can turn it to miles using the scale by multiplying our result with 30:
And last but not least, don't forget to put the unit!
Answer:
<h2>p = 12</h2>
Step-by-step explanation:
12 - 6p = -4p - 12
24 = 2p
12 = p