9514 1404 393
Answer:
B. 3
Step-by-step explanation:
If all you want is a numerical result, sometimes a graphing calculator can provide that easily. The attachment shows it calculates the slope at x=4 to be 3.
dy/dx = 3 at x = 4
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The derivative of the expression can be found from the quotient formula:
d(u/v) = (du·v -u·dv)/v²
y' = ((x -2)(2x -7) -(x^2 -7x +2)(1))/(x -2)^2
= (2x^2 -11x +14 -x^2 +7x -2)/(x -2)^2
= (x^2 -4x +12)/(x -2)^2
= ((x -4)x +12)/(x -2)^2
Then for x=4, we have ...
y' = 12/4 = 3
dy/dx = 3 at x = 4
Answer:
old town has 150 steps
Step-by-step explanation:
Let the number of steps in the old tower be m
Mathematically, time = distance/speed
In this case, the distance is the number of steps while the speed is the rate of climbing or descending
For climbing, time spent = m/3
For descending time spent = m/2
Since it took her 25 longer when descending;
This means that;
m/2 - m/3 = 25
(3m-2m)/6 = 25
m/6 = 25
m = 6 * 25
m = 150 steps
In 2012, the population of a small town was 3,560. The population is decreasing at a rate of 1.7% per year. How can you rewrite an exponential growth ...
We can see that, when the input is 5, the output is 24.
<h3>
How to evaluate an equation?</h3>
Here we have the equation:
Where y is the output and x is the input.
We want to evaluate it with the input as 5, so we need to replace the variable x by the number 5, we will get:
Then we can see that, when the input is 5, the output is 24.
If you want to learn more about evaluating functions:
brainly.com/question/1719822
#SPJ1
Get her done ...........................
