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1 answer:
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Answer:
Functions are linearly dependent (are not linearly independent.)
Step-by-step explanation:
Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the <em>only solution</em> to the equation
is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.
Now, let f(x), g(x) and h(x) be the functions:
Then, letting α = 1, β= -1 and ω = -2, we see that:
Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.
Answer:
Step-by-step explanation:
Given equation of line is:
y = -4x+9
Comparing it with the standard form
y = mx+b
m = -4
As we know that the product of slopes of perpendicular lines is -1
Let m1 be the slope of perpendicular line
m * m1 = -1
-4 * m1 = -1
m1 = -1/-4
m1 = 1/4
In order to find the value of b, putting the point in standard form
5 = (1/4)*4 + b
5 = 1 + b
b = 5-1
b = 4
Putting the value of b and m1 in standard form
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