The equation for a parabola with directrix y = –p and focus (0, p)
The distance between vertex and directrix is P
Also the distance between vertex and focus is also P
Focus (0,p) so focus lies on y axis
Directrix line is paralled to focus point
So Directex crosses the x axis .
Hence line of symmetry lies is the y-axis.
The graph is attached below.
Step-by-step explanation:
-2 (4a + 4b) + 5a > -35
-8a -8b + 5a > -35
-3a -8b > -35
for a
-3a > -35 + 8b
a < -35 + 8b ÷ -3
a < 35 - 8b ÷ 3
for b
-3a - 8b > -35
-8b > -35 + 3a
b < -35 + 3a ÷ -8
b < 35 - 3a ÷ 8
The app photo math is really awesome,
I Hope this Helps!
We know that the profit from an item is the sale price minus the cost price. Thus,
1269 - 0.2x² - 830 - 398x
P(x) = -0.2x² - 398x + 439
Local maxima are located at the points where the first derivative of a function are 0
P'(x) = -0.4x - 398
398 = -0.4x
x = -995
There is only one maximum so the average value is -995
