3 years ago

12. 4(2x - 8) = 3(2 – 3x) Need help to solve it in steps

Mathematics

1 answer:

Reil [10]3 years ago

4 0

8x - 32 = 6 - 9x
17x = 38
x = 38/17

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Westkost [7]

Answer:

1.333 repeated

Step-by-step explanation:

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2 years ago

A scientist used 786 milliliters of a liquid for an experiment. How many liters of the liquid did the scientist use for this exp

Charra [1.4K]

Answer:

Step-by-step explanation:

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3 years ago

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Enter the coefficients of the fifth Taylor polynomial T5(x) for the function f(x) = x5−3x4+2x2+5x−2 based at b=1. T5(x)= + (x−1)

DENIUS [597]

Compute the necessary values/derivatives of $f(x)$ at $x=1$ :

$f(1)=3$

$f'(1)=2$

$f''(1)=-12$

$f'''(1)=-12$

$f^{(4)}(1)=48$

$f^{(5)}(1)=120$

Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) $f(x)$ at $x=1$ by

$T_5(x)=\dfrac3{0!}+\dfrac2{1!}(x-1)-\dfrac{12}{2!}(x-1)^2-\dfrac{12}{3!}(x-1)^3+\dfrac{48}{4!}(x-1)^4+\dfrac{120}{5!}(x-1)^5$

$T_5(x)=3+2(x-1)-6(x-1)^2-2(x-1)^3+2(x-1)^4+(x-1)^5$

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Another way of doing this would be to solve for the coefficients $a,b,c,d,e,g$ in

$f(x)=a+b(x-1)+c(x-1)^2+d(x-1)^3+e(x-1)^4+g(x-1)^5$

by expanding the right hand side and matching up terms with the same power of $x$ .

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3 years ago

Find the mean, median, a<br> 12, 13, 40, 95, 88, 7, 95

yarga [219]

Answer: The mean is 50.42. The Median is 40. The mode is 95

Step-by-step explanation:

3 0

3 years ago

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Simplify the expression where possible.<br> (r ^-3 s^2 t) ^4

ASHA 777 [7]

$Use\\\\(ab)^n=a^nb^n\\\\ (a^n)^m=a^{n\cdot m}\\-------------------\\\\\left(r^{-3}s^2t\right)^4=\left(r^{-3}\right)^4\left(s^2\right)^4(t)^4=r^{(-3)(4)}s^{(2)(4)}t^4\\\\=\boxed{r^{-12}s^8t^4}\to\boxed{\dfrac{s^8t^4}{r^{12}}}$

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3 years ago