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3 years ago

0.3x +y = 7 represents a linear function

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

7 0

Yes it represents a linear function.

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maks197457 [2]

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4 0

3 years ago

Which of the following functions are solutions of the differential equation y" – 4y' + 3y = 0? CA. y(x) = xe-3x B. y(x) = et C.

Kipish [7]

Answer:

$y(x)=c_1e^{x}+c_2e^{3x}$

$y(x)=e^x$

$y(x)=e^{3x}$

Option B is correct. $y=e^t$

Step-by-step explanation:

Given: y''-4y'+3y = 0

It is a linear differential equation.

First we make characteristic equation.

$m^2-4m+3=0$

Now factor the equation and we get

$(m-3)(m-1)$

$m=1,3$

Here, we have two distinct root.

$y(x)=c_1e^{m_1t}+c_2e^{m_2t}$

Solution of differential equation:

$y(x)=c_1e^{x}+c_2e^{3x}$

where, c₁ and c₂ are constants.

Hence, The solution of the given differential equation is $y(x)=c_1e^{x}+c_2e^{3x}$

$y(x)=e^x$

$y(x)=e^{3x}$

7 0

4 years ago

Adding and subtracting polynomials

svet-max [94.6K]

Answer:

6x^2+3x+1

Step-by-step explanation:

Simplify by combining like terms

3 0

3 years ago

Read 2 more answers

A door is 8 decimeters wide. How wide is the door in centimeters?

Sloan [31]

8 decimeters= 80 centimeters

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3 years ago

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When utilizing ANOVA, what does the between group sum of squares measure?

zhenek [66]

Answer:

b. The sum of the squared deviations between each group mean and the mean across all groups

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

Solution to the problem

If we assume that we have $p$ groups and on each group from $j=1,\dots,p$ we have $n_j$ individuals on each group we can define the following formulas of variation: