Answer:
(-5, 50) and (-1/3, -0.815)
Step-by-step explanation:
The equation is;
y = x³ + 8x² + 5x
Now the turning point will occur at where dy/dx = 0.
Thus;
dy/dx = 3x² + 16x + 5
At dy/dx = 0, we have;
3x² + 16x + 5 = 0
From quadratic formula, we can get;
x = -5 or -⅓
Thus, let's find y at this points.
y = -5³ + 8(-5)² + 5(-5)
y = -125 + 200 - 25
y = 50
Also,at x = -⅓, we have;.
y = (-⅓)³ + 8(-⅓)² + 5(-⅓)
y = -1/27 + 8/9 - 5/3
y = -0.815
Thus,the coordinates of the turning points are;
(-5, 50) and (-1/3, -0.815)
Ratio of Waitress to hostess money = 45/30 = 3/2
So, the ratio of waitress earning to total earning = 3/5
If they earn 350, waitress will receive = 350 * 3/5 = 210
So, your final answer is $210
Hope this helps!
The first three are the ones
All you have to do is replace every x with 2 and then solve:
<em>Make to sure to follow the Order of Operations!!</em>
-9x(2) + 11x - 7 =
(-9 × 2 × 2) + (11 × 2) - 7 =
-36 + 22 - 7 =
-14 - 7 =
-21
The answer is -21.
Hope that helps!
Answer:
Third one
Step-by-step explanation:
<u>Two </u>things to solve 3x+9 <= 15
3x <= 6
<u> x <= 2</u>
<u> and</u> - (3x+ 9) <= 15
- 3x - 9 <= 15
- 3x <= 24
3x >= -24
<u> x > = - 8 </u>
<u />
<u />
<u>s o -8 <= x <= 2 </u>
