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zloy xaker [14]
2 years ago
6

Select the correct answer.

Mathematics
1 answer:
mariarad [96]2 years ago
6 0

Answer:

B.

f(x) and g(x) are closed under subtraction because when subtracted, the result will be a polynomial.

Step-by-step explanation:

f(x)-g(x)\\=(a_0+a_1x+a_2x^2...+a_nx^n)-(b_0+b_1x+b_2x^2...b_mx^m)

Assume m>=n WOLOG

=(a_0-b_0)+(a_1x-b_1x)+(a_2x^2-b_2x^2)+...+(a_nx^n-b_nx^n)-b_{(n+1)}x^{n+1}-...-b_{m-1}x^{m-1}-b_mx^m

=(a_0-b_0)+(a_1-b_1)x+(a_2-b_2)x^2+...+(a_n-b_n)x^n-b_{(n+1)}x^{n+1}-...-b_{m-1}x^{m-1}-b_mx^m

Are also a polynomial in general, but maybe in a different degree

Closure under subtraction means, for all polynomials, under the operation of subtraction, it also belongs to polynomials

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Roman55 [17]
The answer is C. 90 degrees.


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I hope this helps.
6 0
3 years ago
For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1? f(x)=2x^m/x+a {a =
iVinArrow [24]

Answer:

See below

Step-by-step explanation:

f(x)=\frac{2x^{m} }{x+a}

f(x)=\frac{2x^{1} }{x-1}

If x=1, then 1-1=0, which implies a vertical asymptote at x=1 since dividing by 0 is undefined.

3 0
3 years ago
40.51x+12.45y=666.64
irga5000 [103]

Answer:

The graph of the equation 40.51x+12.45y=666.64 is attached with the answer where the horizontal axis represents the X axis and the vertical axis represents Y axis.

To plot the graph physically just find two points lying on the line. Mark the points on the graph sheet and then join them. This will give you the line represented by the equation.

To find points on the line assume the value of any one variable, substitute it in the equation, then solve the equation to find the value of other variable. For example : assume y = 1; substitute the value of y in the equation;

⇒ 40.51x + 12.45×1 = 666.64

⇒ 40.51x = 666.64 - 12.45

⇒ 40.51x = 654.19

⇒ x = \frac{654.19}{40.51}

⇒ x ≈ 16.149

Therefore point ( 16.149 , 1 ) lie on the graph of the equation.

***Only two points are required to plot this graph just because it represents a straight line, that we can conclude just by observing the equation. If in an equation the power of x is 1 or 0 and power of y is 1 or 0 then only it will represent a straight line in 2-D plane.***

5 0
3 years ago
Where would 3/5 be plotted in a number line?
Mamont248 [21]
Between 0 and 1, add dashes so you have a total of 6 marks including 0 and 1. Then count 3 over and that would be 3/5.

7 0
3 years ago
Read 2 more answers
The diameter of a circle is 5 ft. Find the circumference to the nearest tenth(urgent)
defon

Answer:

15.71

Step-by-step explanation:

To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5

Put in circumference formula C=2πr

c=2 x 3.14 x 2.5

c= 2 x 7.85

c=15.7

Put the value into the circle circumference formula C=2πr

5 0
3 years ago
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