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prisoha [69]
4 years ago
13

Addshow all steps please

Mathematics
1 answer:
choli [55]4 years ago
3 0
\bf \cfrac{3}{x-2}+\cfrac{4}{x-1}-\cfrac{1}{x}    so, no breaks on the denominator thus, the LCD will be all three then.

\bf \cfrac{3}{x-2}+\cfrac{4}{x-1}-\cfrac{1}{x}\implies \cfrac{[3x(x-1)]+[4x(x-2)]-[(x-2)(x-1)]}{x(x-2)(x-1)}
\\\\\\
\cfrac{[3x^2-3x]+[4x^2-8x]-[x^2-3x+2]}{x(x-2)(x-1)}
\\\\\\
\cfrac{3x^2-3x+4x^2-8x-x^2+3x-2}{x(x-2)(x-1)}
\\\\\\
\cfrac{6x^2-8x-2}{x(x-2)(x-1)}\implies \cfrac{2(x^2-4x-1)}{x(x-2)(x-1)}
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April shoots an arrow upward into the air at a speed of 32 feet per second from a platform that is 11 feet high. The height of t
dusya [7]

Answer:

27 ft

the maximum height of the​ arrow is 27 ft

Step-by-step explanation:

Given;

The height of the arrow is given by the function;

h(t) = -16t^2 + 32t + 11

Maximum height is at point when dh(t)/dt = 0.

Differentiating h(t), we have;

dh/dt = -32t + 32 = 0

Solving for t;

-32t = -32

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8 0
3 years ago
Mary McDonald makes mugs in Miami. She makes two sizes of mugs: a small mug that she sells for $2.50 and a large mug that she se
IrinaVladis [17]

Mary McDonald sold 11 small mugs and 10 large mugs.

Step-by-step explanation:

Given,

Total cost of sold cups = $85

Cost of one small cup = $2.50

Cost of one large cup = $5.75

Cups at the start of day = 215

Cups at the end of day = 194

Cups sold = Cups at the start of day - Cups at end of day

Cups sold = 215 - 194 = 21

Let,

x represents the number of small cups.

y represents the number of large cups.

According to given statement;

x+y=21    Eqn 1

2.50x+5.75y=85    Eqn 2

Multiplying Eqn 1 by 2.50

2.50(x+y=21)\\2.50x+2.50y=52.50\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(2.50x+5.75y)-(2.50x+2.50y)=85-52.50\\2.50x+5.75y-2.50x-2.50y=32.50\\3.25y=32.50

Dividing both sides by 3.25

\frac{3.25y}{3.25}=\frac{32.50}{3.25}\\y=10

Putting in Eqn 1

x+10=21\\x=21-10\\x=11

Mary McDonald sold 11 small mugs and 10 large mugs.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/12905000
  • brainly.com/question/12918501

#LearnwithBrainly

7 0
3 years ago
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