The polynomial's maximum value is relative.
<h3>
</h3><h3>
Is the maximum relative or absolute?</h3>
Here we have the polynomial:

Notice that the leading coefficient is negative, so, as x tends to negative infinite, V(x) will tend to positive infinite.
So we only have a relative maximum, because is local maximum (at x = 6.4), but the function can take larger values than that.
You can also check that on the graph of V(x), which you can see below:
If you want to learn more about maximums:
brainly.com/question/1938915
#SPJ1
Answer:
- 3log(10) -2log(5) ≈ 1.60206
- no; rules of logs apply to any base. ln(x) ≈ 2.302585×log(x)
- no; the given "property" is nonsense
Step-by-step explanation:
<h3>1.</h3>
The given expression expression can be simplified to ...
3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)
= log(1000/25) = log(40) . . . . ≠ log(5)
≈ 1.60206
Or, it can be evaluated directly:
= 3(1) -2(0.69897) = 3 -1.39794
= 1.60206
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<h3>2.</h3>
The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...
ln(x) = log(x)/log(e) ≈ 2.302585·log(x)
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<h3>3.</h3>
The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:

Numerical evaluation of Mr. Kim's expression would prove him wrong.
log(3)log(4) = (0.47712)(0.60206) = 0.28726
log(7) = 0.84510
0.28726 ≠ 0.84510
log(3)log(4) ≠ log(7)
Mathematics includes the study of such topics as quantity, structure, space, and change. It has no generally accepted definition. Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof.
Step-by-step explanation:
Mathematics is the study of numbers, shapes and patterns. The word comes from the Greek word "μάθημα" (máthema), meaning "science, knowledge, or learning", and is sometimes shortened to maths (in England, Australia, Ireland, and New Zealand) or math (in the United States and Canada). ... Numbers: how things can be counted.
Therefore, Mathematics is the abstract study of topics such as quantity (numbers), structure, space, and change!
Answer:

Step-by-step explanation:
The standard equation for circle is

where point (a,b) is coordinate of center of circle and r is the radius.
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Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have

now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is 