What is the maximum profit the company can earn? How many snowboards must it produce to earn this

maximum profit?

a. Factor P =

4x2 + 32x + 336 to find the roots.

b. Find the axis of symmetry then use it to find the vertex.

c. Therefore, we need to see snowboards to make a maximum profit of

Answer:

**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**

** **

What is .5 ( 5 repeating) in a fraction ?

The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime soda to make servings of apple soda: A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 6, 12, 18, 24, 30. Points are shown on ordered pairs 0, 0 and 1, 6 and 2, 12 and 3, 18 and 4, 24. These points are connected by a line. The label on the x axis is Lemon -Lime Soda in cups. The title on the y axis is Apple Juice in cups. What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda? 1:24 24:1 1:6 6:1

−1.75 − 22/20plz hlep...and put as an exact decimal or simplified fraction

Consider the equation 14*10^0.5w=100 Solve the equation for w. Express the solution as a logarithm in base-10

Find the value of x.I need help please!

The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime soda to make servings of apple soda: A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 6, 12, 18, 24, 30. Points are shown on ordered pairs 0, 0 and 1, 6 and 2, 12 and 3, 18 and 4, 24. These points are connected by a line. The label on the x axis is Lemon -Lime Soda in cups. The title on the y axis is Apple Juice in cups. What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda? 1:24 24:1 1:6 6:1

−1.75 − 22/20plz hlep...and put as an exact decimal or simplified fraction

Consider the equation 14*10^0.5w=100 Solve the equation for w. Express the solution as a logarithm in base-10

Find the value of x.I need help please!

**Answer:**

The correct answer is A. The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from bouquet T.

**Step-by-step explanation:**

We are told that Bouquet S contains 30 flowers and 13 of those flowers are daisies. Therefore, the probability of selecting a daisy from Bouquet S can be modeled by:

13/30, which is greater than 1/3 but less than 1/2

We are also told that Bouquet T contains 13 flowers and 13 daises. From this information, we can conclude that all of the flowers in Bouquet T are daises, or the probability can be modeled by:

13/13 = 1

Therefore, because the probability of selecting a daisy from Bouquet S is 13/30 and the probability of selecting a daisy from Bouquet T is 1, we can conclude that, as option A states, the probability of selecting a daisy from Bouquet S is less than the probability of selecting a daisy from Bouquet T.

Hope this helps!

**Answer:**

I believe the answer is A.

**Step-by-step explanation:**

If there are 13 daises per bouquet, that means one bouquet is all daises. The other bouquet has 30 flowers. 30-13 is 17 which means there are 17 other flowers rather than daises. 17 is greater than 13 by 4 which is not that much. Therefore I think the answer is letter A.

Would love the solution worked out also thank you

(2x + 3) (x + 1)

2x² + 3x + 2x + 3

**2x² + 5x + 3**

Answer:

**Step 1**

**Step 2**

**Final Answer**

B (1,1),(3,9), (7,49)

© (1,2), (4,16), (8, 64)

D (4,8), (5, 25), (6,36)

**Answer:**

B (1, 1),(3, 9), (7, 49)

**Step-by-step explanation:**

__Given function:__

- y = x²

__Let's verify which set of pairs are same with the given function:__

A....................

- (1, 1) - yes
- (2, 4) - yes
- (3, 6) -
__no, 6≠ 3²__

B....................

- (1, 1) -
**yes** - (3, 9) -
**yes** - (7, 49) -
**yes**

C....................

- (1, 2)-
__no, 2≠ 1²__ - (4, 16) - yes
- (8, 64) - yes

D....................

- (4, 8) -
__no, 8 ≠ 4²__ - (5, 25) - yes
- (6, 36) - yes

9*8=72

72-5=67

The final answer is 67.

Please mark Brainliest

Thank you

2 and 40

Common factors

40={1,2,4,5,8,10,20,40}

2 = {1,2}

Greatest common factor =2

Common multiples

40={40,80,...}

2 = {2,4,6,8,10,...,40,42,...}

Least common multiple= 40

Common factors

40={1,2,4,5,8,10,20,40}

2 = {1,2}

Greatest common factor =2

Common multiples

40={40,80,...}

2 = {2,4,6,8,10,...,40,42,...}

Least common multiple= 40

**Answer:**

**Step-by-step explanation:**

The equation of the line passing through (1,1) and (-5,6) is y - 1 = -5/6(x - 1).

To find the equation for the line passing through the points (1, 1) and (-5, 6) in point-slope form, we need to calculate the slope and use one of the given points. The slope, denoted by 'm', can be calculated as the change in y divided by the change in x. Substituting the values (1, 1) and (-5, 6) into the slope formula, we get m = (6 - 1) / (-5 - 1) = 5 / -6 = -5/6. Using the** point-slope** form, y - y1 = m(x - x1), we can substitute the slope and one of the given points to obtain the equation of the line.

Using the point (1, 1), we substitute x1 = 1 and y1 = 1 into the equation. This gives us y - 1 = -5/6(x - 1).

Therefore, the equation of the line that passes through the points (1, 1) and (-5, 6) in point-slope form is **y - 1 = -5/6(x - 1)**.

#SPJ3