Therefore the table values of which represents a linear function are table 2 and table 3
<h3>What is linear equation?</h3>
A linear equation is a first-order (linear) term and a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. A "linear equation of two variables" is what is sometimes referred to here, where y and x are the variables.
Here,
The values shown in table 2 have same constant rate of change of 3 units.
where as,
The values shown in table 3 have same constant rate of change of 5 units.
Therefore the table values of which represents a linear function are table 2 and table 3
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Answer:
The functions satisfy the differential equation and linearly independent since W(x)≠0
Therefore the general solution is
Step-by-step explanation:
Given equation is
This Euler Cauchy type differential equation.
So, we can let
Differentiate with respect to x
Again differentiate with respect to x
Putting the value of y, y' and y'' in the differential equation
⇒m²-10m +24=0
⇒m²-6m -4m+24=0
⇒m(m-6)-4(m-6)=0
⇒(m-6)(m-4)=0
⇒m = 6,4
Therefore the auxiliary equation has two distinct and unequal root.
The general solution of this equation is
and
First we compute the Wronskian
=x⁴×6x⁵- x⁶×4x³
=6x⁹-4x⁹
=2x⁹
≠0
The functions satisfy the differential equation and linearly independent since W(x)≠0
Therefore the general solution is
Answer:
20
Step-by-step explanation:
<u>Given:</u>
<u>As per the picture:</u>
- m∠JKL = m∠JKM + m∠MKL = 45 + x
<u>Comparing the two equations above:</u>
- 3x+5 = 45 + x
- 3x - x = 45 - 5
- 2x = 40
- x = 40/2
- x = 20
x = 20 is the correct answer for this question
Otherwise something is wrong with the question.
