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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.
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Over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. Scientists predict that the water level wi
klio [65]

Answer:

Step-by-step explanation:

A)

"In the last 2.5 years, the water level has decreased 0.75 feet."

In the very first statement it has been stated that over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. That means in the last 2.5 years , total decrease in level is as follows

2.5 x - 0.3 = - .75 ft .

So the statement is true.

B)

"The overall change of the water level after 7.5 years will be -2.75 feet."

This statement appears to be false based on information provided

No prediction regarding rate of decrease for a period beyond 5 year  has been made so any statement with respect to a timeline of 7.5 years may turn out to be false.

C)

"The change in water level each year for the next 5 years will be -0.4 feet. "

This statement prima-facie appears to be true  because rate of decrease stated in the statement is 0.4 ft /year for next 5 years .

D )

"The overall change in water level for the next 5 years is equal to 5(0.4)"

this statement is true

as change in one year = .4

change in 5 years = 5 x .4

5 0
3 years ago
Solve the equation 3x + 2 = 4x + 5 using algebra tiles. Which tiles need to be added to both sides to remove the smaller coeffic
Anastasy [175]

Answer:

Step-by-step explanation:

Given the expression

3x + 2 = 4x + 5

1. The smaller coefficient of x is 3

to remove the smaller coefficient

we need to add - 3x to both sides

3x +2 + (-3x) = 4x +5 (-3x)

3x + 2 - 3x = 4x + 5 - 3x

Collecting like terms we have

3x-3x+2= 4x-3x+5

2 = x+ 5

2. The constant on the right side is

5,to remove the constant from the right side of the equation we need to add - 5 to both sides

3x + 2+ (- 5) = 4x + 5 +(-5)

3x+ 2-5 =4x +5-5

3x-3 = 4x

3 0
3 years ago
What is the value of |-3.25| And |-4.25|
Yakvenalex [24]

The values are |-3.25| = 3.25  and  |-4.25| = 4.25

<h3>How to determine the values of the expressions?</h3>

The expressions are given as

|-3.25| and |-4.25|

The above expressions are absolute value expressions

And as a general rule, an absolute value expression, when evaluated must follow the following rule

|±a|  = a

Using the above as a guide, we have

|-3.25| = 3.25

Also, we have

|-4.25| = 4.25

Hence, the values of the expressions are |-3.25| = 3.25  and  |-4.25| = 4.25

Read more about absolute value expressions at

brainly.com/question/13282457

#SPJ1

8 0
1 year ago
Can someone please help me with this? ASAPPP
adoni [48]
<h2>43 cm.</h2>

Hope it helps you!

-miraculousfanx-

7 0
3 years ago
F^3 x f^9 x f^4 <br> Simplify
Hatshy [7]

Answer:

f¹⁶

Step-by-step explanation:

f³*f⁹*f⁴

f⁽³⁺⁹⁺⁴⁾

f¹⁶

6 0
3 years ago
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