Answer:
y = 0.7(x^2 - 64x - 576)
Average rate of change = -49.
Step-by-step explanation:
As the x intercepts are -8 and 72 we can write the equation
y = a(x + 8)(x - 72) where a is some constant to be found.
As it passes through point (62, -490) we have, substituting:
-490 = a(62+8)(62-72)
-490 = - 700a
a = 0.7
So the equation of the parabola
y = 0.7(x + 8)(x - 72) or
y = 0.7(x^2 - 64x - 576).
Average rate of change between x = -8 and x = 2
= [0.7(2+ 8)(2 - 72) - 0.7(-8+8)(-8-72)] / (2 - -8)
= -490 - 0 /10
= -49
(an angle inscribed in a semicircle is a right angle)
(alternate segment theorem)
(angles in a triangle add to 180 degrees)
Answer:
Step-by-step explanation:
X-3y=-5x
(-2y)-3y=15(-2y)
-3y=15
y=-5
Commercial jet's speed = 2x-162 (plug this in the equation below)
Private jet's speed = x
Equation:
10(x) = 8(2x-162)
10x = 16x - 1296
6x = 1296
x = 216 (Private jet's speed)
Take the first equation and plug x value in;
2x-162
2(216) - 162 = 270 ( Commercial jet's speed)
Answer:
no asymptote
y-intercept is -3 (or, written as a point: (0,-3))
Step-by-step explanation:
g(x) = 2x -3 is a linear function in the form y = mx +b.
This is called slope-intercept form. g(x) is a line, with slope 2 and y-intercept -3.