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miv72 [106K]
3 years ago
8

When two polynomials are subtracted the difference is -4x^2-7x+9. If one of the polynomials is x^2-4x+2, then determine the two

possible options for the other polynomial.
Mathematics
1 answer:
algol [13]3 years ago
7 0

Answer:

The two options are:

-3x² - 11x + 11 and 5x² + 3x - 7

Step-by-step explanation:

When two polynomials are subtracted the difference is

-4x² - 7x + 9

One of the polynomials is

x² - 4x + 2

To get the second polynomial, we an either add x² - 4x + 2 to -4x² - 7x + 9 or subtract -4x² - 7x + 9 from x² - 4x + 2

First Option:

(x² - 4x + 2) + (-4x² - 7x + 9)

= x² - 4x + 2 - 4x² - 7x + 9

= x² - 4x² - 4x - 7x + 2 + 9

= -3x² - 11x + 11

Secons Option:

(x² - 4x + 2) - (-4x² - 7x + 9)

= x² - 4x + 2 + 4x² + 7x - 9

= x² + 4x² - 4x + 7x + 2 - 9

= 5x² + 3x - 7

Therefore, the two options are:

-3x² - 11x + 11 and 5x² + 3x - 7

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chubhunter [2.5K]

Answer:

<em>y ≥ - 0.8 </em>

Step-by-step explanation:

\sqrt{25y^2 +40y+16} = 5y + 4

\sqrt{(5y+4)^2} = 5y + 4

5y + 4 = 5y + 4 and 5y + 4 ≥ 0 ⇒ y ≥ - 0.8

y ∈ [ - 0.8 , ∞ )

- ( 5y + 4 ) = 5y + 4

10y = - 8

y = - 0.8

The answer is <em>y ≥ - 0.8</em>

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2 years ago
Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who
Artemon [7]
I would say 25.50 meters. Hope this helps!
6 0
4 years ago
Read 2 more answers
Instructions
Naya [18.7K]

Answer:

yes

Step-by-step explanation:

youre trying to find when -1/4x + 3/2 = -x+ 3

so if you set it up like that and then solve for x you get 2

then, you know that 2 is your x value so just plug in x into one of the equations to get the y value

(i used -x+3 bc its easier)

-2+3=y

y= 1

so your solution is (2,1)

also heres the graph

5 0
3 years ago
What is the slope of the line shown below?
Gre4nikov [31]
Answer: C. 5/6


Steps:

Use the formula x1-x2/y1-y2 to find the slope

(5,11), (-5,-1)

-5-5/-1-11
= -10/-12
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4 0
3 years ago
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Help me please. i need this now​
attashe74 [19]
Answer is H
Step by step exploration
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