All categories

3 years ago

Help Please 20 POINTS Which expressions are equivalent to the following?

Mathematics

1 answer:

o-na [289]3 years ago

4 0

Answer:

$\large\boxed{5x(6x-x-2)}\\\\\boxed{-5(-6x^2+x+2)}\\\\\boxed{5(2x+1)(3x-2)}$

Step-by-step explanation:

$30x^2-5x-10=5(6x^2-x-2)=5(-1)(-6x^2+x+2)=-5(-6x^2+x+2)\\\\30x^2-5x-10=30x^2+15x-20x-10=15x(2x+1)-10(2x+1)\\\\=(2x+1)(15x-10)=(2x+1)(5)(3x-2)=5(2x-1)(3x-2)$

You might be interested in

Expand.<br> Your answer should be a polynomial in standard form.<br> (3c + 2)(c^2-6c-4)

evablogger [386]

Answer:

After expanding the polynomial $(3c + 2)(c^2-6c-4)$ we get $3c^3-16c^2-24c-8$

Step-by-step explanation:

We need to expand the polynomial $(3c + 2)(c^2-6c-4)$

Multiply the terms:

$(3c + 2)(c^2-6c-4)\\=3c(c^2-6c-4)+2(c^2-6c-4)\\=3c^3-18c^2-12c+2c^2-12c-8\\=3c^3-18c^2+2c^2-12c-12c-8\\=3c^3-16c^2-24c-8$

So, after expanding the polynomial $(3c + 2)(c^2-6c-4)$ we get $3c^3-16c^2-24c-8$

3 0

3 years ago

The table shows the number of games a chess player won in professional competitions, based on the number of games played.

AfilCa [17]

slope = (25-4)/(30-10)

slope = 21/20

slope =21/20

using point slope form

y-y1 = m(x-x1)

y-4 = 21/20 (x-10)

y = 21/20x -21/2 +4

y = 21/20 x -21/2 +8/2

y = 21/20x -13/2

let x=40

y = 21/20 (40) -13/2

y = 42-13/2

y = 35.5 games

If we round the slope to 1

slope =1

using point slope form

y-y1 = m(x-x1)

y-4 = 1 (x-10)

y = 1x -10 +4

y = x -6

let x=40

y = 40-6

y = 34 games

4 0

3 years ago

jace and chris sell their old toyd at a yard sale. they get $45.00. yhey agree that jace will have 2/5 of the money and chris wi

valentinak56 [21]

Answer:

Jace gets $18.00 while Chris keeps $27.00

Step-by-step explanation:

Jace

2/5 of $45.00

2/5 × 45

= $18.00

Jace gets $18.00

Chris:

$45.00 - $18.00 = $27.00

4 0

3 years ago

For the following rectangular prism, drag and drop the steps needed to find the volume in the correct order. Then type the volum

Kamila [148]

Answer:

Volume = 100 $in^{3}$

Step-by-step explanation:

Volume, V= Bh

length = 10 inches

width = 5 inches

height = 2 inches

So that,

B = 5(10)

= 50 $in^{2}$

B = 50 $in^{2}$

Then,

V = (50)(2)

= 100

v = 100 $in^{3}$

5 0

3 years ago

The cost table shows the average cost, a(x), of producing x number of earbuds.

Tasya [4]

Answer:

Step-by-step explanation:

7 0

3 years ago