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Elis [28]
4 years ago
9

how does the method for solving equations with fractional or decimal coefficients and constants compare with the method for slov

ing equations with integer coefficients and constants?
Mathematics
1 answer:
Tamiku [17]4 years ago
7 0

Answer:


Step-by-step explanation:When solving equations with fractional or decimal coefficients, the equations needs to be multiplied by the mutliple of denominator such that the equations have integer coefficients and constants.


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Verify that the vector X is a solution of the given homogeneous system. X' = −1 1 25 1 −1 X; X = −1 5 e−6t/5 For X = −1 5 e−6t/5
vaieri [72.5K]

Answer: Find answer in the attached file

5 0
3 years ago
Can anyone help me solve this? Please and thank you!
AveGali [126]

It's the sum of a geometric sequence.

Let's rewrite it a bit:

\displaystyle\\\sum_{n=1}^{10}8\left(\dfrac{1}{4}\right)^{n-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot \left(\dfrac{1}{4}\right)^{-1}=8\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n\cdot 4=32\sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n

And now let's calculate this sum \displaystyle \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n:

S_n=\dfrac{a(1-r^n)}{1-r}\\\\a=\dfrac{1}{4}\\n=10\\r=\dfrac{1}{4}\\\\S_{10}=\dfrac{\dfrac{1}{4}\cdot\left(1-\left(\dfrac{1}{4}\right)^{10}\right)}{1-\dfrac{1}{4}}=\dfrac{\dfrac{1}{4}\cdot\left(1-\dfrac{1}{1048576}\right)}{\dfrac{3}{4}}=\dfrac{\dfrac{1048575}{1048576}}{3}=\dfrac{1048575}{3145728}=\\=\dfrac{349525}{1048576}

Now let's calculate the initial sum:

\displaystyle 32\cdot  \sum_{n=1}^{10}\left(\dfrac{1}{4}\right)^n=32\cdot \dfrac{349525}{1048576}=\dfrac{349525}{32768}\approx10.67

8 0
2 years ago
Find the area of the rhombus
trapecia [35]

Answer:

25

Step-by-step explanation:

area of the rhombus=1/2×d1×d2

1/2×5×10

=25

4 0
2 years ago
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The truck will fit. See the answer to you latest question.

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3 years ago
Given: - 4x&gt;4.<br> Choose the solution set.
astraxan [27]

Answer:

x < - 1

Step-by-step explanation:

Given

- 4x > 4

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.

x < - 1

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3 years ago
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