Given the function h(x)=x2+6x+6h(x)=x^2+6x+6h(x)=x2+6x+6, determine the average rate of change of the function over the interval
1 answer:
Answer:
<h2>The answer is -11.</h2>Step-by-step explanation:
The function is given by .
Rate of change refers to the ratio between the change of the dependent variable with the change of independent variable.
The minimum value of x is -7 and the maximum value is 2.
h(-7) = 49 + 42 + 6 = 97.
h(2) = 4 - 12 + 6 = -2.
The average rate of change is .
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Answer:
The equation of a line parallel to the line and passing through (1, -1) is:
Step-by-step explanation:
Given the line
y = -3
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept
Thus, the slope of the equation y=-3 will be m = -3
We know that the parallel lines have the same slopes.
Thus, the slope of the parallel line will also be -3.
Thus, using the point-slope form to find the line equation is
substituting the values m = -3 and the point (1, -1)
y-(-1) = -3(x-1)
y+1 = -3x+3
y=-3x+3-1
y=-3x+2
Thus, the equation of a line parallel to line and passing through (1, -1) is: