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AVprozaik [17]
3 years ago
13

A trucking company is hired to take 462 glass candles to a gift shop. The gift shop will pay the trucking company a $100 fee, pl

us $1.50 for every glass candle that is delivered safe. The trucking company must pay the gift shop $4 each for any glass candles that are broken. If two glass
Mathematics
1 answer:
Otrada [13]3 years ago
3 0

100  + 150 = 250 - 4 = 254
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The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) 5x/x^2
Olegator [25]

Given :

The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) = \dfrac{5x}{x^2+9}.

To Find :

Find the time at which the concentration is a maximum. b. Find the maximum concentration.

Solution :

For maximum value of x, K'(x) = 0.

K'(x) = \dfrac{5(x^2+9)- 5x(2x)}{(x^2+9)^2}=0\\\\5x^2+45-10x^2=0\\\\5x^2 = 45\\\\x = \pm 3

Since, time cannot be negative, so ignoring x = -3 .

Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6

Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.

Hence, this is the required solution.

5 0
3 years ago
Solve the system ... y=3x-8 and y=-9x+4
natita [175]
1] y - 3x = -8
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-3x + y = -8 9x + y = 4

Solve equation [2] for the variable y


[2] y = -9x + 4

// Plug this in for variable y in equation [1]

[1] (-9x+4) - 3x = -8
[1] - 12x = -12
// Solve equation [1] for the variable x


[1] 12x = 12

[1] x = 1
// By now we know this much :

y = -9x+4
x = 1
// Use the x value to solve for y

y = -9(1)+4 = -5

{y,x} = {-5,1}
7 0
2 years ago
PLEASE HELP I BEG YOU!!!! <br> Graph the linear equation.<br><br> 2x+6y=−6
Taya2010 [7]

Answer:

it will be 8xy

Step-by-step explanation:

2x+6y=-6

2x+6y=8xy

3 0
3 years ago
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iVinArrow [24]
Let X = tree height.

X/146 = 5.6/11.2
3 0
3 years ago
Long division with 489
RUDIKE [14]

Answer:

9.4

Step-by-step explanation:

3 0
3 years ago
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