Answer:
a) x₁ = 14
x₂ = - 6
b) x = 4
c) P(max ) = 4000000 $
Step-by-step explanation:
To find the axis of symmetry we solve the equation
a) -4x² + 32x + 336 = 0
4x² - 32x - 336 = 0 or x² - 8x - 84 = 0
x₁,₂ = [ -b ± √b² -4ac ]/2a
x₁,₂ = [ 8 ±√(64) + 336 ]/2
x₁,₂ = [ 8 ± √400 ]/2
x₁,₂ =( 8 ± 20 )/2
x₁ = 14
x₂ = -6
a) Axis of symmetry must go through the middle point between the roots
x = 4 is the axis of symmetry
c) P = -4x² + 32x + 336
Taking derivatives on both sides of the equation we get
P´(x) = - 8x + 32 ⇒ P´(x) = 0 - 8x + 32
x = 32/8
x = 4 Company has to sell 4 ( 4000 snowboard)
to get a profit :
P = - 4*(4)² + 32*(4) + 336
P(max) = -64 + 128 + 336
P(max) = 400 or 400* 10000 = 4000000
Answer:
1. Step 2: 2a-6+6 Step 3: 2a
2. Step 2: 8(2d+3)
Step by step explanation:
Here’s my work form what I seen:
Answer:
10 miles per hour.
Step-by-step explanation:
Let x represent athlete's walking speed.
We have been given that her jogging rate is 5 mph faster than her walking rate, so athlete's jogging speed would be
miles per hour.

10 minutes = 1/6 hour.
20 minutes = 1/3 hour
While walking, we will get 

While jogging, we will get 

Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

Cross multiply:




Therefore, athlete's walking speed is 5 miles per hour.
Jogging speed: 
Therefore, athlete's jogging speed is 10 miles per hour.
Answer:$90,000
Step-by-step explanation:
3,000*30=90,000
Answer:
8 turtles
Step-by-step explanation:
Each of Liam's sea turtle sculpture weighs 3\8 pounds and he ships them in a wooden box that weighs 2 pounds.
The weight of the box filled with the sea turtles is 5 pounds.
This means that the weight of the sea turtles in the wooden box is:
5 - 2 = 3 pounds
To find the number of sea turtles in the box, we simply divide the total weight of the turtles in the box by the weight of each turtle. That is:
= 8 turtles
There are 8 turtles in the box.