Helppppppppppppppppppppppppppppppppp

Mathematics

1 answer:

TiliK225 [7]3 years ago

6 0

Answer:
The third choice is the correct one

Explanation:
Square root means that what is under the root has power of 1/2

8 = 4 * 2
Therefore:
√8 = √4 * √2 = 2√2

The given expression:
(8 * x^7 * y*8)^1/2 = (8)^1/2 * (x^7)^1/2 * (y^8)^1/2
= 2√2 * x^7/2 * y^4
= 2√2 * x^3 * y^4 * √x
= 2* x^3 * y^4 √2x

Hope this helps :)

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Rewrite the quadratic function in vertex form.<br> Y=2x^2+4x-1

Fantom [35]

Answer:

$\large\boxed{y=2(x+1)^2-3}$

Step-by-step explanation:

The vertex form of an equation of a parabola:

$y=a(x-h)^2+k$

(h, k) - vertex

We have

$y=2x^2+4x-1=2\left(x^2+2x-\dfrac{1}{2}\right)$

We must use the formula: $(a+b)^2=a^2+2ab+b^2\qquad(*)$

$2\left(x^2+2(x)(1)-\dfrac{1}{2}\right)=2\bigg(\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-\dfrac{1}{2}\bigg)\\\\=2\left((x+1)^2-1-\dfrac{1}{2}\right)=2\left((x+1)^2-\dfrac{3}{2}\right)$