Answer:
Degree: 3
Leading Coefficient: 12
Step-by-step explanation:
Find the highest power to determine the degree, in this case it's 3. Then identify the term with the highest power (12u^3) to find the leading coefficient.
So, because 3 is the largest and only power in this equation, it is the degree. 12u^3 is the leading term (term containing the highest degree) and 12 is the coefficient attatched to the term. Hope that helped!
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:
k=−5
Step-by-step explanation:
−3(k+7)−5k+4=23
(−3)(k)+(−3)(7)+−5k+4=23(Distribute)
−3k+−21+−5k+4=23
(−3k+−5k)+(−21+4)=23(Combine Like Terms)
−8k+−17=23
−8k−17=23
Step 2: Add 17 to both sides.
−8k−17+17=23+17
−8k=40
Step 3: Divide both sides by -8.
−8k
−8
=
40
−8
k=−5
Answer:
k=−5
The value that would make the ratios equal to 4 to 10... I believe it would be 2 to 5
