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Verdich [7]
3 years ago
5

Find the perimeter of an equilateral triangle with a side length of 4x-1

Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0

Answer:

12x-3

Step-by-step explanation:

Perimeter is : 3*(4x-1)

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If an 11year old child needs to take 1/5 amount of medication per day to heal their head. If a baby has to take 1/5 as much to g
MatroZZZ [7]

Answer:

Step-by-step explanation:

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6 0
3 years ago
If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.
Pie
Given that f^{(n)}(0)=(n+1)!, we have for f(x) the Taylor series expansion about 0 as

f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n

Replace n+1 with n, so that the series is equivalent to

f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}

and notice that

\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}

Recall that for |x|, we have

\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}

which means

f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}
\implies f(x)=\dfrac1{(1-x)^2}
5 0
3 years ago
If two lines are perpendicular, which statement must be true?
Kryger [21]

Answer:

Their slopes are opposites

8 0
2 years ago
A) Factorise 2x² - 9x - 5 (x-5)(2x+1) (2) <br>b) Hence, simplify fully 2x^2- 9x - 5 3x – 15x (2) ​
Lyrx [107]

Answer:

Step-by-step explanation:

<u><em>b).</em></u>

2x² - 9x - 5 = ( x - 5 )( 2x + 1 )

3x² - 15x = 3x ( x - 5 )

\frac{(x-5)(2x+1)}{3x(x-5)} = \frac{2x+1}{3x}

8 0
3 years ago
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