When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. which equation represents
1 answer:
You might be interested in
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>
The average rate of change of a function over the interval is equal to
, hence:
Therefore, the average rate of change of over the interval
is
.
<u>Part B</u>
Do the same thing as in Part A:
Therefore, the average rate of change of over the interval
is
.
<u>Part C</u>
To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).
ANSWER
Or
EXPLANATION
Let us find the gradient of the line:
by rewriting it in the slope intercept form.
We divide through by 4 now;
This is now in the form;
where
is he slope.
This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of .
Thus the perpendicular line has slope,
.
Let the perpendicular line have equation,
When we substitute the slope we have;
We substitute the point. to find c.
We substitute c to obtain;
Or