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Varvara68 [4.7K]
3 years ago
9

Write the following quadratic expression in standard form: ( 2 x − 1 ) ( 3 x − 1 )

Mathematics
1 answer:
jeka943 years ago
7 0

Answer:

<em>6</em>x^{2}<em> - 5</em>x<em> + 1</em>

Step-by-step explanation:

Standard form is: ax^{2} +bx+x

To reach that you have to distribute:

(2x - 1) (3x - 1)

2x (3x - 1) = 6x^{2} - 2x

-1 (3x - 1) = -3x + 1

Combine like terms:

6x^{2} - 5x + 1

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3 years ago
The box plot was created by using which pieces of data?<br> 1<br> 50<br> 75<br> 100<br> 125
VikaD [51]

Answer:

50,75,and 100 there's supposed to be a 20 too but it's not there but oh well

4 0
3 years ago
Long Division: (3x^4-8x^3-x^2+9x+5) / (x-2) pleaseee answer this
Drupady [299]

3<em>x</em>⁴ = 3<em>x</em>³ • <em>x</em>, and

3<em>x</em>³ (<em>x</em> - 2) = 3<em>x</em>⁴ - 6<em>x</em>³

Subtract this from the numerator to get a remainder of

(3<em>x</em>⁴ - 8<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5) - (3<em>x</em>⁴ - 6<em>x</em>³) = -2<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5

-2<em>x</em>³ = -2<em>x</em>² • <em>x</em>, and

-2<em>x</em>² (<em>x</em> - 2) = -2<em>x</em>³ + 4<em>x</em>²

Subtract this from the previous remainder to get a new remainder of

(-2<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5) - (-2<em>x</em>³ + 4<em>x</em>²) = -5<em>x</em>² + 9<em>x</em> + 5

-5<em>x</em>² = -5<em>x</em> • <em>x</em>, and

-5<em>x</em> (<em>x</em> - 2) = -5<em>x</em>² + 10<em>x</em>

Subtract this from the last remainder to get a new one of

(-5<em>x</em>² + 9<em>x</em> + 5) - (-5<em>x</em>² + 10<em>x</em>) = -<em>x</em> + 5

-<em>x</em> = -1 • <em>x</em>, and

-1 (<em>x</em> - 2) = -<em>x</em> + 2

This gives a new remainder of

(-<em>x</em> + 5) - (-<em>x</em> + 2) = 3

3 does not divide <em>x</em>, so we're done.

So, we have

(3<em>x</em>⁴ - 8<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5) / (<em>x</em> - 2) = 3<em>x</em>³ - 2<em>x</em>² - 5<em>x</em> - 1 + 3/(<em>x</em> - 2)

7 0
3 years ago
Solve 12y^-4z^-2/6z^2y^-1
Nadusha1986 [10]

Answer:

2/y^5

Step-by-step explanation:

not sure but i think its this

3 0
3 years ago
Stan's cookie recipe makes 24 cookies and calls for exactly 384 sprinkles. He is wondering how many sprinkles (p ) he will need
Arisa [49]

Answer:

960

Step-by-step explanation:

<u>Given:</u>

  • Stan's cookie recipe makes 24 cookies.
  • It needs exactly 384 sprinkles.

<u>To Find:</u>

  • Number of sprinkles needed for 60 cookies
<h2><u>Solution:</u></h2>

<u>Find the number of sprinkles needed for 1 cookie:</u>

  • 24 cookies = 384 sprinkles
  • 1 cookie = 384 ÷ 24
  • 1 cookie = 16 sprinkles

<u>Find the number of sprinkles needed for 60 cookies:</u>

  • 1 cookie = 16 sprinkles
  • 60 cookies = 16 x 60
  • 60 cookies = 960 sprinkles

Answer:  Stan will need 960 sprinkles for 60 cookies.

3 0
2 years ago
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