Answer:
5c
Step-by-step explanation:
5c is the only value you can take out of both factors
Using derivatives, it is found that regarding the tangent line to the function, we have that:
- The equation of the line is y = 962x - 5119.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:
f(x) = 5x³ + 2x + 1.
The derivative is given by:
f'(x) = 15x² + 2.
Hence the slope at x = 8 is:
m = f'(8) = 15(8)² + 2 = 962.
The line goes through the point (8,f(8)), hence:
f(8) = 5(8)³ + 2(8) + 1 = 2577.
Hence:
y = 962x + b
2577 = 962(8) + b
b = -5119.
Hence the equation is:
y = 962x - 5119.
More can be learned about tangent lines at brainly.com/question/8174665
#SPJ1
Answer: See explanation. Hope this helps, please consider making me Brainliest.
Step-by-step explanation:
To find the rate of change, subtract then divide. This is especially a good strategy when you have the x and y values when x = 0:
604 - 460 = 144
144 divided by 18 =
8
Therefore, the rate of change is 8. We can even go further to create an equation for this:
y intercept = 460 (because 0 multiplied by the rate of change would be 0).
slope = 8
Slope-intercept form: y = mx + b --> y = 8x + 460
Hope this helps, please consider making me Brainliest.
Answer:
A Vertical Angle
Step-by-step explanation:
