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Umnica [9.8K]
3 years ago
13

Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers

of x. x4 -3x + 1, 4x2 - 2x + 8, and x3 - 9
Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

x⁴ + x³ + 4x² - 5x

Step-by-step explanation:

The polynomials given in the question are:

x⁴ - 3x + 1

4x² - 2x + 8

x³ - 9

We have to add all them

First write all the polynomial in the summation form:

(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)

Open the brackets:

x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9

Group together the similar terms

(x⁴) + (x³) + (4x²) + (-3x -2x) + (1 + 8 - 9)

Finding the sum in brackets:

x⁴ + x³ + 4x² + (-5x) + (0)

x⁴ + x³ + 4x² - 5x

Note that the sum is in descending powers of x

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Amari claims that a rectangle is sometimes a parallelogram but a parallelogram is always a
Maslowich

Answer:

The statement is false.

Step-by-step explanation:

A parallelogram is a figure of four sides, such that opposite sides are parallel

A rectangle is a four-sided figure such that all internal angles are 90°

Here, the statement is:

"A rectangle is sometimes a parallelogram but a parallelogram is always a

rectangle."

Here if we found a parallelogram that is not a rectangle, then that is enough to prove that the statement is false.

The counterexample is a rhombus, which is a parallelogram that has two internal angles smaller than 90° and two internal angles larger than 90°, then this parallelogram is not a rectangle, then the statement is false.

The correct statement would be:

"A parallelogram is sometimes a rectangle, but a rectangle is always a parallelogram"

6 0
3 years ago
each hour the number of bacteria in dr. nall's petri dish tripled what percent is the population compared to the population the
yan [13]
The starting percent is 100%. After one hour, bacteria tripled, so it is 300%.
3 0
3 years ago
Angle b and Angle g are known as alternate ___________ angles.
Afina-wow [57]
Alternate exterior angles because the are OUTSIDE of the parallel lines
4 0
3 years ago
Read 2 more answers
Can someone answer this please
ollegr [7]
The answer is symmetric because it’s equal
7 0
3 years ago
You bought a magazine for $3 and two notepads. You spent a total of $13. How much did each notepad cost? *
sweet-ann [11.9K]

Answer:

$5

Step-by-step explanation:

We want to find the cost of a notepad considering a magazine costs $3 and we buy 2 notepads and the total cost of the magazine and the 2 notepads is $13 so we can set up an equation to represent this situation. Let 'n' be notepads and that's the value we are solving for so,

⇒ Form the equation

→ 2n + 3 = 13

⇒ Minus 3 from both sides to isolate 2n

→ 2n = 10

⇒ Divide both sides by 2 to find the cost of one notepad

→ n = 5

The cost of one notepad is $5 considering that a magazine cost's $3 and two notepads and total is $13.

4 0
3 years ago
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