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Linear functions are of the form:
y = a0 + a1 x1 + a2 x2 + ..... + an xn
where a0, a1, a2 ..... an are constants and x1, x2 ..... xn are n variables. (These functions are used in regression).
In a two dimensional space, a linear function is a straight line and is usually written as y = a + mx.
The Y-intercept is a and the slope of the line is m.
If m = 0; y = a is a line parallel to the X-axis.
If m > 0; as x increases, y increases. The line rises from left to right.
If m < 0: As x increases, y decreases. The line falls from left to right.
This is illustrated below.
Figure
Example
Straight line depreciation is a linear function of the number of years that have elapsed. This can be expressed in a functional form as:
BV
C
N
X
A bag contains 19 tickets, numbered from 1 to 19. A ticket is drawn and then another ticket is drawn without replacement .Find the probability that both tickets will show even numb
Factorize x squared + 6x + 8
A jeweler has bars of 18-carat gold and 12-carat gold. How much of every melted together to obtain a bar of 16-carat gold, weighing 120 gm ? It is given that pure gold is 24 carat.
/100*4500/12
whta are the formulas needed for proving in trignometry .
cauchy integral theorem
The temperature at 6 P.M. was 31°F. Through midnight, it had dropped 40°F. What was the temperature at midnight? Visualize a number line. The drop from 31° to 0° is 31°. There
Find the normalized differential equation which has {x, xex} as its fundamental set
Show that the points (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order are the vertices of a rhombus. Also find the area of the rhombus.
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