Answer:
Co-ordinates of the focus is; (0, -4)
Step-by-step explanation:
We are given;
Vertex at origin; (0, 0)
Equation of parabola; y = x²/4p
4p = -16
Now,in parabola with vertex at origin, the coordinates of the focus is usually at (0, p)
Now, from 4p = -16 we can find p
p = -16/4
p = -4
Thus coordinates of the focus is; (0, -4)
Answer:
+1 is the potential root of the function.
Step-by-step explanation:
Given;
p(x) = x⁴ + 22x⁴ – 16x - 12
A potential root of the function is zero of the function. That is a potential root will reduce the function to zero or close to zero.
To determine this, we test each of the root given;
p(6) = (6)⁴ + 22(6)⁴ - 16(6) - 12 = 29700
p(3) = (3)⁴ + 22(3)⁴ - 16(3) - 12 = 1803
p(1) = (1)⁴ + 22(1)⁴ - 16(1) - 12 = -5
p(8) = (8)⁴ + 22(8)⁴ - 16(8) - 12 = 94068
The only number that reduces the function close to zero is +1, then +1 is the potential root of the function.
Answer:
21x + 29y - 8
Step-by-step explanation:
(−7x+8x+19y)−(6y+8−20x−16y)
−7x+8x+19y−6y-8+20x+16y
(−7x+8x+20x)+(19y−6y+16y)-8
21x + 29y - 8
Since there are 60 seconds in a minute multiply 8 by 60
The rate is 480 feet per minute.
