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3 years ago

Need help to write equations for 5, 6 & 7

Mathematics

1 answer:

hoa [83]3 years ago

8 0

7)
Read my note at the end of problem 5 in another post.
You already know this table represents an exponential function
since each y-coordinate is always the previous y-coordinate multiplied by 6.
That means b = 6, and you have
y = a(6)^x
Now we find "a". When x = 0, y = 5. That means a = 5.
The equation is

y = 5(6)^x

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What is the value of X in the equation 3X (-1) / 9Y equals 18 when Y equal 27

iren [92.7K]

Answer:

The value of X in the equation 3X (-1) / 9Y equals 18 when Y equal 27 is 1458.33

Step-by-step explanation:

$\frac{3X - 1}{9 Y} = 18$ is a polinomial equation A

if the value of Y = 27

put this value of Y in the equation A

$\frac{3 X -1}{9 \times 27} = 18$

$\frac{3 X -1}{243} = 18$

243 will be taken to right hand side and as per rule will be multiplied by 18

$3X-1= 18\times 243\\$

$3X-1= 4374$

1 will be taken to right hand side and added as per rule

$3 X = 4374+1\\3X= 4375$

3 wil be taken on right hand side and divided as per rule

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So the value of X if Y = 27 is 1458.33

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Step-by-step explanation:

Formula

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Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right e

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Hello,

Reminders:
$$\sum_{i=1}^{n} i= \dfrac{n(n+1)}{2}$


$
$$ \sum_{i=1}^{n} i^2= \dfrac{n(n+1)}{2}$

$
$$ \sum_{i=1}^{n} i^3= \dfrac{n^2(n+1)^2}{4} $
$

$n=6\\
x_{0}=0\\
x_{n}=3\\
\Delta= \dfrac{x_n-x_0}{n}=0.5\\

$
$x_{i} =0+\Delta*i= \frac{i}{2}$

$\sum_{i=1}^{n}\ \Delta*f(x_{i})=\sum_{i=1}^{6}\ \dfrac{i^3/8-6i}{2}$
$$= \dfrac{1}{2}\sum_{i=1}^{6} (\frac{i^3}{8} -6i)=\dfrac{1}{16}*\frac{(6*7)^2}{4}- \frac{9*7}{2}= -3.9575$

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