T is the same as the quotient of 175 and p

Answer:

The graph of g(x) is shifted 4 units down.

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

Using proportions, it is found that the missile's internal computer clock is of 20 seconds.

• According to the information given, this question can be solved by proportions, using a rule of three.

50 tenths of a second is equivalent to 5 seconds, and we want to find the equivalent to 200 tenths of a second, thus, the rule of three is:

50 tenths - 5 seconds

200 tenths - x seconds

Applying cross multiplication:

The missile's internal computer clock is of 20 seconds.

A similar problem is given at brainly.com/question/24372153

Answer: it will take 5 years.

Step-by-step explanation:

Assuming it is simple interest, we would apply the formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount of money deposited.

P represents the principal or amount of money deposited.

R represents interest rate on the deposit.

T represents the duration of the deposit in years.

From the information given,

P = $1500

I = $375

R = 5%

Therefore,

375 = (1500 × 5 × T)/100

375 = 75T

T = 375/75

T = 5 years

Answer:

Step-by-step explanation:

Final answer:

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

Explanation:

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).

Learn more about Equation of a Line here:

brainly.com/question/21511618

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