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2 years ago

Divide the polynomials (x^3-x^2-11x+15)/(x-3)

Mathematics

1 answer:

nasty-shy [4]2 years ago

4 0

The answer to this is x^2 + 2x - 5

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the pitch, or frequency, of a vibrating string varies directly with the square root of the tension. if a string vibrates at a fr

Naily [24]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\begin{array}{llll}
\stackrel{frequency}{f}\textit{ of a vibrating string varies directly}\\
\qquad \qquad \textit{with the square root of the tension }\stackrel{tension}{t}
\end{array}$

$\bf f=k\sqrt{t}\quad \textit{we also know that }
\begin{cases}
f=300\\
t=8
\end{cases}\implies 300=k\sqrt{8}
\\\\\\
\cfrac{300}{\sqrt{8}}=k\implies \cfrac{300}{\sqrt{2^2\cdot 2}}=k\implies \cfrac{300}{2\sqrt{2}}=k\implies \cfrac{150}{\sqrt{2}}=k
\\\\\\
\textit{and we can \underline{rationalize} it to }\cfrac{150\sqrt{2}}{2}\implies 75\sqrt{2}=k$

$\bf thus\qquad f=\stackrel{k}{75\sqrt{2}}\sqrt{t}\implies \boxed{f=75\sqrt{2t}}\\\\
-------------------------------\\\\
\textit{now, when t = 72, what is \underline{f}?}\qquad f=75\sqrt{2(72)}$

5 0

3 years ago

Read 2 more answers

The average weekly salary of two employees is $5250. One makes $500 more than the other. Find their salaries.

irga5000 [103]

Answer: thier salaries are $5000 and $5500

Step-by-step explanation:

Let the average weekly salary of one employee be =x

And that of the other employee be = x+500

Such that if thier average of their salaries= $5250

So, their total salary= $5250 x 2=10,500

The equation to solve each employee salary becomes

x+x+500=10,500

2x+500=10,500

2x=10,500-500

2x=10,000

x=10,000 /2

x= first employee salary =$5000

second employee = x+500 =$5500

3 0

2 years ago

Find the Area of ze Trapezoid

Elina [12.6K]

A=a+b/2·h=9+4/2·3.5=22.75

Hoped I helped!

3 0

3 years ago

Enter the mixed number as an improper fraction. 3 3/5 =

3241004551 [841]

Answer:

18/5

Step-by-step explanation:

6 0

2 years ago

What is the answer? ;3

aleksandrvk [35]

First you add the numbers

6/2*3

Now you calculate the expression

6/2*3

The answer is 9, therefore 9 is your answer

3 0

2 years ago