Answer:
a) f g(x) = x³ - 5 x² + x -5
b) g(f(x) = x³ - 5 x² + x -5
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that f(x) = x² + 1 and g(x) = x-5
a)
f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26
<u><em>Step(ii):-</em></u>
a) f g(x) = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5
b) g(f(x) = g(x) f(x) = (x-5) (x²+1) = x³ - 5 x² + x -5
Given:
a + bi = 13 + 9i
Equate the real parts:
a = 13
Equate the imaginary parts:
b = 9
Answer:
a =13
b = 9
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
so convert the equation -x + y = 5 into slope intercept form by adding x to both sides
(-x + x) + y = 5 + x
0 + y = 5 + x
y = 5 + x
To match the slope intercept formula switch the x and 5 around
y = x + 5
If lines are parallel then they have the same slope (m) but they have different b
This means that the slope of the line will be 1 (in front of the x is an invisible 1 which would be m)
This is what we have so far...
y = x + b
Now we must find b
To do that you must plug in the point the line goes through in the x and y of the equation.
(2, -5)
-5 = 1(2) + b
-5 = 2 + b
-7 = b
y = x + (-7)
y = x - 7
Hope this helped!
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say ice wallow come out loud its really funny lol
20 / 1000 = 0.02
0.02 x 100 = 2
The answer is 2 percent.
