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alexandr1967 [171]
2 years ago
10

Multiply (polynomials) I WILL GIVE BRAINLIEST, NEED IT TODAY

Mathematics
1 answer:
mamaluj [8]2 years ago
5 0

Answer:

1. 12x² - 7x - 10

2. 10x² + 31x - 14

3. 3x² - xy - 9x + 4y - 12

4. 16y^4 - 1

5. 24x² - 21x - 3

6. -2m² - 2m + 12

7. 15d² - 31d - 12

8. 12x³ + 5x² - 2x

9. 6t² - 20t - 26

10. 48a² - 12b²

Step-by-step explanation:

1.

  • (3x)(4x)+(3x)(-5)+(2)(4x)+(2)(-5)
  • 12x^2-15x+8x-10
  • 12x^2-7x-10

2.

  • (5x)(2x)+(-2)(2x)+(5x)(7)+(-2)(7)
  • 10x^2-4x+35x-14
  • 10x^2+31x-14

3.

  • (x)(3x) + (x)(-y) + (x)(3) + (-4)(3x) + (-4)(-y) + (-4)(3)
  • 3x^2-xy+3x-12x+4y-12
  • 3x^2-xy-9x+4y-12

4.

  • ((2y-1)(2y+1))(4y^2)+((2y-1)(2y+1))(1)
  • 16y^4-4y^2 + 4y^2 -1
  • 16y^4 - 1

5.

  • (3x)(8x)+(3x)(1)+(-3)(8x)+(-3)(1)
  • 24x^2+3x-24x-3
  • 24x^3-21x-3

6.

  • (-m)(2m)+(-m)(-4)+(-3)(2m)+(-3)(-4)
  • -2m^2+4m-6m+12
  • -2m^2-2m+12  

7.

  • (5d)(3d)+(5d)(1)+(-12)(3d)+(-12)(1)
  • 15d^2 + 5d - 36d -12
  • 15d^2-31d -12

8.

  • (3x^2)(4x)+(3x^2)(-1)+(2x)(4x)+(2x)(-1)
  • 12x^3-3x^2+8x^2-2x
  • 12x^3+5x^2-2x

9.

  • (3t)(2t)+(3t)(2)+(-13)(2t)+(-13)(2)
  • 6t^2 + 6t - 26t -26
  • 6t^2-20t-26

10.

  • (4a)(12a)+(4a)(6b)+(-2b)(12a)+(-2b)(6b)
  • 48a^2+24ab-24ab-12b^2
  • 48a^2-12b^2

Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)

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A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d
zmey [24]

Answer:

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Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75x^{2}

=1980 + 7.5x -3.75x^{2}

=1980-3.75 (-2x+x^{2}) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+x^{2})

=1980 +3.75 -3.75(x^{2} -2x +1)

=1983.75 -3.75 (x-1)^{2}---->(1)

as (x-1)^{2} is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of (x-1)^{2} = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

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