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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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Tyler and Pearl went on a 20km bike ride that lasted for 3 hours. Because of steep hills or the trail, they walked for most of t
noname [10]

Answer: 1 hour


Step-by-step explanation:

Let the distance they walked be d_1 in time t_1 and the distance they walked be d_2 in time t_2 ,then

Walking speed=\frac{d_1}{t_1}=4

\\\Rightarrow\ d_1=4t_1

Riding speed=\frac{d_2}{t_2}=12

\\\Rightarrow\ d_2=12t_1

Also the total time taken=3 hours

∴t_1+t_2=3\\\Rightarrow\ t_2=3-t_1...(1)

Since the total distance= 20 km

∴d_1+d_2=20\\\Rightarrow4t_1+12t_2=20\\\Rightarrow4t_1+12(3-t_1)=20..............[\text{from (1)}]\\\Rightarrow4t_1+36-12t_1=20\\\Rightarrow-8t_1=-8\\\Rightarrow\ t_1=1

Thus, the they spent 1 hour time in walking.

7 0
3 years ago
Factor the expression using GCF 7+14a
Lana71 [14]
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8 0
3 years ago
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a man invests a total of 5000 in a bank account that yields 5% interest compound monthly. how much will it be worth after 6 year
kaheart [24]

Answer:

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Step-by-step explanation:

If we assume the nominal annual interest rate is 5%, then the future value after 6 years is ...

  FV = P(1 +r/12)^(12·t)

for P = 5000, r = .05, t = 6.

Doing the arithmetic, we get ...

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After 6 years, the bank account will be worth 6745.09.

_____

We made a comment about the interest rate, because the annual <em>yield</em> is about 5.116%. If the <em>annual yield</em> is actually 5%, then the account value is lower: $6700.48. (Monthly compounding is irrelevant in that case, because it is already figured into the yield.)

Usually, the wording would be that the account <em>earns</em> 5% interest compounded monthly.

7 0
4 years ago
2,023 nearest hundred
Oxana [17]
2,000

hope this helps
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4 years ago
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Mrrafil [7]

Step-by-step explanation:

Taisha is losing money. Exactly how much can be found in this equation.

12 months in a year so that's our coefficient.

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She is 339.72 dollars in debt.

7 0
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