Answer: 3
Step-by-step explanation:
Here, Just apply Distributive property which tells, a(b + c) = ab + bc
So, -6(-7 - 3k) = 42 + 18k
In short, Your Answer would be 42 +18k
Hope this helps!
Put it in the calculator and the answer is 3.4305
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
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Answer:
x=65
Step-by-step explanation:
find the angles of the small square by completing the outer ones so the one on the left the missing one is 68 and the other side is 47, so 180= 68+47 + x
180= 115 + x
x= 65
