Solve the proportion.3/4=v/14

A small company that manufactures snowboards uses the relation below to model its profit. In the model,

amm1812

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

8 0

3 years ago

Help meeeeeeeeeeee with all of these questions

kaheart [24]

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:

6 0

3 years ago

An athlete knows that when she jogs along her neighborhood greenway, she can complete the route in 10 minutes. It takes 20 minu

IgorLugansk [536]

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 $x+5$ miles per hour.

$\text{Distance}=\text{Rate}\cdot \text{Time}$

10 minutes = 1/6 hour.

20 minutes = 1/3 hour

While walking, we will get $D_{\text{walking}}=x\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{3}\text{hour}$

$D_{\text{walking}}=\frac{x}{3}$

While jogging, we will get $D_{\text{jogging}}=(x+5)\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{6}\text{hour}$

$D_{\text{jogging}}= \frac{(x+5)}{6}$

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

$\frac{x}{3}=\frac{x+5}{6}$

Cross multiply:

$6x=3x+15$

$6x-3x=15$

$3x=15$

$\frac{3x}{3}=\frac{15}{3}\\\\x=5$

Therefore, athlete's walking speed is 5 miles per hour.

Jogging speed: $x+5\Rightarrow 5+5=10$

Therefore, athlete's jogging speed is 10 miles per hour.

3 0

3 years ago

ASAP

Lerok [7]

Answer:$90,000

Step-by-step explanation:

3,000*30=90,000

4 0

3 years ago

Read 2 more answers

Liam makes soap sculptures of sea turtles. Each sculpture weighs 3\8 pounds he ships them in a wooden box that weighs 2 pounds t

wlad13 [49]

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:

$\frac{3}{\frac{3}{8} }$ = 8 turtles

There are 8 turtles in the box.

3 0

3 years ago

Solve the proportion.3/4=v/14​

Solve the proportion.3/4=v/14