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Jobisdone [24]
3 years ago
14

(-5x^2+2x+6)-(9x^2+2x+9)+(-6x^2+5x-3) simplified

Mathematics
2 answers:
igomit [66]3 years ago
6 0

Answer:

− 20 x ^2 + 5 x − 6

Step-by-step explanation:

jolli1 [7]3 years ago
5 0

Answer:

-20x^2+5x-6\\

Step-by-step explanation:

Start by removing the grouping symbols (parentheses) using the sign rules:

(-5x^2+2x+6)-(9x^2+2x+9)+(-6x^2+5x-3)=\\=-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3

Then we re-order and combine like terms:

-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3=\\=-5x^2-9x^2-6x^2+2x-2x+5x+6-9-3=\\=-20x^2+5x-6

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In factored form please help
Brilliant_brown [7]

Answer:

3rd option

Step-by-step explanation:

\frac{3x^2-3}{x^2-5x+4} ( factorise numerator and denominator )

3x² - 3 ← factor out 3 from each term

= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

x² - 1

= x² - 1²

= (x - 1)(x + 1) , then

3x² - 3 = 3²(x - 1)(x + 1) ← in factored form

--------------------------------

x² - 5x + 4

consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)

the factors are - 1 and - 4 , since

- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then

x² - 5x + 4 = (x - 1)(x - 4)

then

\frac{3x^2-3}{x^2-5x+4} = \frac{3(x-1)(x+1)}{(x-1)(x-4)} ← in factored form

3 0
2 years ago
The perimeter of a rectangular window is 324 cm.
padilas [110]

Answer:

76 cm

Step-by-step explanation:

P=2L+2w

324=2(86)+2w

324=172+2w

324-172=2w

2w=152

w=152/2

w=76 cm

4 0
3 years ago
Question 1<br> Determine the midpoint of the segment with endpoint (-9,3) and (7,-8).<br> Question 2
mario62 [17]

Answer:

(-1, -2.5)

Step-by-step explanation:

the midpoint of a segment is (\frac{x1+x2}{2} ,\frac{y1+y2}{2}), given points (x1, y1) and (x2, y2)

midpoint=(\frac{-9+7}{2}, \frac{3-8}{2} ) = (\frac{-2}{2}, \frac{-5}{2}  ) = (-1, -2.5)

6 0
3 years ago
Read 2 more answers
Find the area of the shape shown below.<br> 12<br> 4
ki77a [65]

Answer:

The answer would be 48 If im not mistaking

7 0
3 years ago
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Silvia buys 12 steaks that are each 34 of a pound. She spends a total of $90 on steaks. Complete each sentence. Silvia buys a to
scZoUnD [109]
I think in the first sentence, that should have been 3/4 instead of 34. Total amount of steak bought (lb)
                                        total amount = (3/4 lb/steak)(12 steak) = 9 lb
To find the total amount that Silvia spends for each pound of steak, we divide $90 by 9 and that will give us an answer of $10. 
5 0
3 years ago
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