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3 years ago

Which expression correctly shows 2x^5y−2x^2y factored completely over the integers?

Mathematics

1 answer:

Nat2105 [25]3 years ago

3 0

Answer:

Option D, 2x^2y(x - 1)(x^2 + x + 1)

Step-by-step explanation:

Step 1: Factor

2x^5y - 2x^2y

2x^2y(x^3 - 1)

2x^2y(x - 1)(x^2 + x + 1)

Answer: Option D, 2x^2y(x - 1)(x^2 + x + 1)

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Factor 16x^2 + 49. Check your work.

Shtirlitz [24]

Answer:

$16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

Step-by-step explanation:

Given : Expression $16x^2+49$

To find : Factor the expression ?

Solution :

The given expression is a quadratic function $y=ax^2+bx+c$ the solution is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

On comparing with general form,

a=16, b=0, c=49

Substitute in the formula,

$x=\frac{-0\pm\sqrt{0^2-4(16)(49)}}{2(16)}$

$x=\frac{\pm\sqrt{-3136}}{32}$

$x=\frac{\pm56i}{32}$

$x=\frac{56i}{32},\frac{-56i}{32}$

$x=\frac{7i}{4},\frac{-7i}{4}$

Factors are $(x-\frac{7i}{4}),(x+\frac{7i}{4})$

Therefore, $16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

4 0

3 years ago

a triangle has verticals A(-5,-4), B(2,6), C(4,-3) The center of dilation is the origin and (x,y) (3x,3y). what are the vertices

Gnom [1K]

A' (3(-5),3(-4))= (-15,-12)

B' (3(2),3(6))=(6,18)

C'(3(4),3(-3))=(12,-9)

6 0

1 year ago

Eliza started the week with $274 in her bank account. This week she babysat for 16 hours and made $144.25. Eliza then went to th

elixir [45]

Hi. I hope this helps!

I believe the answer is 330.26 left.

1. First you add 274 and 144.25

You get 388.25

2. The. You subtract the amount of the video game from 388.25

You get 330.26

I hope this helps! Have a great day!

4 0

3 years ago

A new toy store had expenses of $50,000 for designing and building the shelves and counters and $150,000 for the first year’s to

Naya [18.7K]

The answer would be C.

3 0

3 years ago

Hello again,

Nataly [62]

Answer: 395

Step-by-step explanation:

201+99+95

5 0

3 years ago