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3 years ago

Can someone help me some this

Mathematics

2 answers:

Kamila [148]3 years ago

8 0

Answer:

$y = \dfrac12x^2 - 4x + 6$

Step-by-step explanation:

vertex form of parabola: y = a(x - h)² + k

where (h, k) is the vertex

Given vertex = (4, -2) :

⇒ y = a(x - 4)² - 2

Given y-intercept = (0, 6) substitute values into equation and solve for a:

⇒ 6 = a(0 - 4)² - 2

⇒ 6 = 16a - 2

⇒ 16a = 8

⇒ a = 1/2

Therefore, equation of parabola:

⇒ y = 1/2(x - 4)² - 2

⇒ y = 1/2(x² - 8x + 16) - 2

⇒ y = (1/2)x² - 4x + 6

Ksenya-84 [330]3 years ago

3 0

Answer:

just think(0,6) as A,(4,-2) as B and (6,0)as C then join ABC and you will get your's parabola

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what is the quotient (65y3 15y2 − 25y) ÷ 5y? a. 13y2 3y − 5 b. 13y3 3y2 − 5y c. 13y2 − 3y 5 d.13y2 − 3y − 5

Aneli [31]

Keywords:

Division, quotient, polynomial, monomial

For this case we must solve a division between a polynomial and a monomial and indicate which is the quotient.

By definition, if we have a division of the form: $\frac {a} {b} = c$ , the quotient is given by "c".

We have the following polynomial:

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$C (y)$ represents the quotient of the division:

$C (y) = \frac {65y ^ 3 + 15y ^ 2 - 25y} {5y}$

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Thus, the quotient of the division between the polynomial and the monomial is given by:

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Answer:

The quotient is: $C (y) = 13y ^ 2 + 3y-5$

Option: A

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Ilya [14]

Answer:

See below and attached

Step-by-step explanation:

As per the graph we have:

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