The average rate of change of g over the interval [-2, 4] is 4
<h3>What is the
average rate of change of g over the interval [-2, 4]?</h3>
The equation of the function is given as:
g(x) = 4x + 7
Calculate the value of the functions
g(-2) and g(4)
So, we have:
g(-2) = 4 * -2 + 7 = -1
g(4) = 4 * 4 + 7 = 23
The average rate of change of g over the interval [-2, 4] is then calculated as:
Rate = g(4) - g(-2)/4 - 2
This gives
Rate = (23 + 1)/(4 + 2)
Evaluate
Rate = 4
Hence, the average rate of change of g over the interval [-2, 4] is 4
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Complete question
g(x) = 4x + 7
What is the average rate of change of g over the interval [-2, 4]?
Add them then take away 20
Answer:
x = 32
Step-by-step explanation:
x/4 +2 = 10
Subtract 2 from each side
x/4 +2-2 = 10-2
x/4 =8
Multiply each side by 4
x/4 *4 = 8*4
x = 32
Hello from MrBillDoesMath!
Answer: x = 4, slope intercept form is y = 2x + 11
Discussion:
A vertical line goes straight up and down. The only thing "fixed" about it is its x value. Hence a vertical line has an equation like "x = ?". As your line passes through (4, -3), with x value 4. its equation is x = 4.
The slope intercept form of a line is " y = mx + b" where m is the slope of the line and b is its y intercept. We are told the desired line is parallel to y = 2x -1 which means both lines have the same slope (which is 2, boldfaced, above). So, we know the slope intercept form is
y = 2x + b
but we are also told the line passes through (-3,5). Substituting these values in the above equation gives
y = 2x + b
5 = 2 (-3) + b
5 = -6 + b
b = 5 + 6 = 11
The final slope intercept form is y = 2x + 11
Regards, MrB
The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number shown in the picture:
-7i(3 + 3i)
= -7i
In trigonometric form:
z = 7 (cos (90) + sin (90) i)
= 3 + 3i
z = 4.2426 (cos (45) + sin (45) i)
=21-21i
After converting into the exponential form:
From part (b) and part (c) both results are the same.
Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)
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