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faust18 [17]
2 years ago
5

Expand & simplify 6(3x+3)−3(4x−2)

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
5 0

Answer:

6x+24

Step-by-step explanation:

6(3x+3) = 18x+18

-3(4x-2) = -12x+6

(18x+18) + (-12x+6) = 6x+24

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Answer:

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Step-by-step explanation:

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3 years ago
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Which is greater -8 or -4
laila [671]
-4 is greater look at number line
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A company makes pens. They sell each pen for $99.
Sindrei [870]

Answer:

a) Profit = 84000

b) at break even number of pens sold = 46

Step-by-step explanation:

Profit = Selling price - Cost price

Total revenue generated = 99 * 1000

Total revenue generated = 99000

Total cost on making the pen  = 11 * 1000

Total cost on making the pen = 11000

Total cost including the initial cost = 11000 + 4000

Total cost including the initial cost =  15000

Profit = 99000 - 15000

Profit = 84000

Break even is when the cost are equal to Revenue thus no profit or loss

Revenue = total cost (break even)

9x = 1x + 4000

9x - x = 4000

8x = 4000

x = 500

At breakeven Revenue = 9 * 500

At breakeven Revenue =  4500

since one pen is sold at 99 therefore at break even number of pens sold = 4500/99 = 45.45( to 2 decimal place)

at break even number of pens sold = 46

4 0
3 years ago
Finding Derivatives Implicity In Exercise, find dy/dx implicity.<br> 4x3 + ln y2 + 2y = 2x
lisov135 [29]

Answer:

\frac{dy}{dx}=\frac{y(1-6x^2)}{(1+y)}

Step-by-step explanation:

Given function : 4x³ + ln(y²) + 2y = 2x

on differentiating both sides with respect to 'x', we get

\frac{d(4x^3 + ln(y^2) + 2y)}{dx}= \frac{d(2x)}{dx}

or

12x^2+\frac{2}{y}(\frac{dy}{dx})+2(\frac{dy}{dx})=2

or

12x^2+(\frac{2}{y}+2)\frac{dy}{dx}=2

or

(\frac{2+2y}{y})\frac{dy}{dx}=2-12x^2

or

\frac{dy}{dx}=\frac{y(2-12x^2)}{2+2y}

or

\frac{dy}{dx}=\frac{2y(1-6x^2)}{2(1+y)}

or

\frac{dy}{dx}=\frac{y(1-6x^2)}{(1+y)}

3 0
3 years ago
1. 9x + 16 = 4x - 19
Genrish500 [490]

Answer:

x=-7

Step-by-step explanation:

9x + 16 = 4x - 19

Subtract 4x from each side

9x-4x + 16 = 4x-4x - 19

5x+16 = -19

Subtract 16 from each side

5x+16 -16 = -19-16

5x = -35

Divide each side by 5

5x/5 = -35/5

x = -7

5 0
3 years ago
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