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lozanna [386]
3 years ago
10

is the sum of two polynomials of degree 5 always a polynomial of degree 5? Give an example to explain your answer

Mathematics
1 answer:
ddd [48]3 years ago
7 0
A counter example is

f(x)=5x^5+2x^3+3x
g(x)=-5x^5-x^4+x^2-4

Then f(x)+g(x) = -x^4+2x^3+x^2+3x-4  which is a polynomial of degree 4.

So the answer is no.  Counter-example is given above.
You might be interested in
What is 1’3/4”-2’3/4”
PSYCHO15rus [73]

Answer:

2

7

–

3

8

=

– 5

56

Result in decimals: -0.089285714285714

Calculation steps:

2

7

–

3

8

=

2 × 8

7 × 8

–

3 × 7

8 × 7

=

16

56

–

21

56

=

16 – 21

56

=

– 5

56

5 0
2 years ago
What is the slope of the line represented by the equation
Pie

Answer:

The slope is -3/4

Step-by-step explanation:

3x+4y = 8

We want to get the equation in slope intercept form

y = mx+b where m is the slope

Subtract 3x from each side

3x+4y-3x= -3x+8

4y = -3x+8

Divide by 4

4y/4 = -3x/4 +8/4

y = -3/4x +2

The slope is -3/4 and the y intercept is 2

7 0
3 years ago
What is the volume of a cone with a radius of 4 and a height of 15?
Pie

Answer:

A. 251.33 cubic units

Step-by-step explanation:

volume of cone = (1/3) * area of base * height

Since your base is a circle, the area of the base is pi * r^2.

Now we have

volume of cone = (1/3) * pi * r^2 * h

volume of cone = (1/3) * 3.14159 * 4^2 * 15

volume of cone = 251.33 cubic units

8 0
3 years ago
Solve each equation for the given variable. Use inverse operations to solve each equation.
andre [41]
X = 15

Inverse operations would be + 5 to the -5 which cancels that out, & adding 5 to the 15 which gives you 15
4 0
3 years ago
When testing for current in a cable with eleven color-coded wires, the author used
ddd [48]
Answer:

The number of test required is: 55

Explanation:

Using combination formula:

n!/x!(n-x)!

= 11!/2!(9)!

= 55
6 0
3 years ago
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