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solniwko [45]
4 years ago
13

HELP PLEASE Simplify the rational expression. State any excluded values. x^2-12x+35/x^2-3x-10

Mathematics
1 answer:
Alborosie4 years ago
5 0

\frac{{x}^{2}  - 12x + 35 }{ {x}^{2} - 3x - 10 }
Factorise both the term by splitting the mid term and you'll get


\frac{ {x}^{2}  - 5x - 7x + 35}{ {x}^{2} - 5x + 2x - 10 }  \\  =  \frac{x(x - 5) - 7(x - 5)}{x(x - 5) + 2(x - 5)}  \\  =  \frac{(x - 7)(x - 5)}{(x + 2)(x - 5)}  \\  =  \frac{x - 7}{x + 2}
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Our new training room can seat 150 employees. If 6 tables consisting of 6 chairs are now taken, what percentage of our new facil
lina2011 [118]

Answer: 24%

Step-by-step explanation:

Since there are 6 tables with six chairs at each, multiply 6 x 6, which equals 36.

Only a fraction of the room is full, so you need to create a fraction for this problem. In this case, it would be 36/150 (36 chairs taken, 150 total chairs).

To convert this fraction into a percent, divide the numerator by the denominator, then multiply by 100.

36 / 150 = .24 x 100 = 24%

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3 years ago
Slope = 1/6; (-12,-2)
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3 years ago
Of 100 diners in a restaurant, 45 ordered the fish of the day and 14 are wearing a dress. Of the diners who ordered fish, 8 are
ololo11 [35]

<span>1.     </span>The probability that one of the diners orders fish = number of diners who ordered fish / total number of diners

p1=45/100=0.45

<span>2.     </span>The probability that one of the diners is wearing dress= number of diners wearing dress/ total number of diners

<span>3.     </span>p2=14/100=0.14

<span>The probability that one of the diners ordered the fish or is wearing a dress is: p=0.45+0.14=0.59</span>

7 0
4 years ago
You find a certain stock that had returns of 8 percent, −3 percent, 12 percent, and 17 percent for four of the last five years.
Tatiana [17]

Answer:

Standard deviation = 8.27 percent

Step-by-step explanation:

Average = (Σx)/N

The average is the sum of variables divided by the number of variables.

x = each variable

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Let the unknown percent be y

6 = (8 - 3 + 12 + 17 + y)/5

y = 30 - 34 = - 4

The standard deviation is the square root of variance. And variance is an average of the squared deviations from the mean.

Mathematically,

Standard deviation = σ = √[Σ(x - xbar)²/N]

x = each variable

xbar = mean = 6 percent

N = number of variables

σ = √[{(8 - 6)² + (-3 - 6)² + (12 - 6)² + (17 - 6)² + (-4 - 6)²}]/(5)]

σ = √[[(2)² + (-9)² + (6)² + (11)² + (-10)²]/(5)]

σ = √[(4 + 81 + 36 + 121 + 100)/(5)] = √(342/5) = 8.27 percent.

4 0
4 years ago
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Answer: Please expand the question

Step-by-step explanation:

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