Simplify the expression by combining like<br> terms:<br> 3+ v + 4v2 + 2

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

Would you say that pythagoras’ theorem holds true for hexagons as well? why or why not

kifflom [539]

No, the Pythgorean Theorem only applies to right triangles. To get two right triangles, you divide a rectangle diagonally. Dividing a hexagon into two pieces produces trapezoids or pentagons depending where it is divided.

7 0

3 years ago

I’m haveing a hard time explaining why D is the right answer please help

Anon25 [30]

Because d actually collects data about what the people want.

3 0

3 years ago

Brad says that if a second number is 125% of the first number, then the first number must be 75% of the second number. Is he cor

olga55 [171]

Answer: He is not correct.

Steps:

Let x1 and x2 be the first and second number, respectively.

$x_2 = \frac{5}{4}x_1\\\frac{4}{5}x_2 =x_1$

In words, if the second is 125%, or 5/4 of the first number (first equation),

then the first is 4/5 of the second, which is 0.8 or 80%.

8 0

2 years ago

What is 1/4 as a whole number?

wlad13 [49]

The whole number of $\dfrac{1}{4}$ is $\boxed{0.25}.$

Further explanation:

Always use the PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.

Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.

Given:

The number is $\dfrac{1}{4}.$

Explanation:

The whole numbers is the series of numbers that starts from zero.

The natural numbers are those numbers that start from one.

The place values are only natural numbers.

The base ten systems represent the position of a place value.

The given number is $\dfrac{1}{4}.$

Consider the number $\dfrac{1}{4}$ as $\text{A}$ .

$A = \dfrac{1}{4}$

Divide 1 by 4 to obtain the whole of $\dfrac{1}{4}.$

$\begin{aligned}\text{A}&= \frac{1}{4}\\&= 0.25\\\end{aligned}$

The decimal expansion of $\dfrac{1}{4}$ is $0.25.$

The whole number of $\dfrac{1}{4}$ is $\boxed{0.25}.$

Learn more

Learn more about the polynomial brainly.com/question/12996944
Learn more about logarithm model brainly.com/question/13005829
Learn more about the product of binomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: place value, base value, decimal expansion, whole number, natural number, division, multiplication, subtraction, solve the equation, solution, linear equation, line, decimal.

3 0

3 years ago

Read 2 more answers

Simplify the expression by combining like terms: 3+ v + 4v2 + 2 - V2 + 3v ]