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sveticcg [70]
3 years ago
15

Y = x —6x+8 The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of the equation di

splays the x-intercepts of the parabola as constants or coefficients?
Mathematics
1 answer:
forsale [732]3 years ago
3 0

Answer:

y=(x-4)(x-2)

Step-by-step explanation:

Consider the given equation

y=x^2-6x+8

Factor form of a parabola: It displays the x-intercepts.

y=a(x-p)(x-q)          .... (1)

where, a is a constant and, p and q are x-intercepts.

So, we need to find the factored form of the given equation.

Splinting the middle term we get

y=x^2-4x-2x+8

y=x(x-4)-2(x-4)

y=(x-4)(x-2)         .... (2)

On comparing (1) and (2) we get

p=4,q=2

It means x-intercepts of the given parabola are 4 and 2.

Therefore, equivalent forms of the equation is y=(x-4)(x-2).

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An equation of a line through (-1, 4) which is perpendicular to the line y = 4x + 1 has slope and y-intercept
Assoli18 [71]

Answer:

The answer to your question is   y = -1/4x + 15/4

Step-by-step explanation:

Data

P (-1, 4)

⊥ y = 4x + 1

Process

1.- Find the slope of the line given

       y = 4x + 1

slope = 4

2.- Find the slope of the new line

     slope 2 = -1/4

3.- Find the equation of the line

       y - y1 = m(x - x1)

Substitution

       y - 4 = -1/4(x + 1)

Simplification

       y - 4 = -1/4x - 1/4

       y = -1/4x - 1/4 + 4

       y = -1/4x - 1/4 + 16/4

Result

       y = -1/4x + 15/4

7 0
3 years ago
The ratio of three numbers is 4 : 3 : 1. the sum of the numbers is 64. the greatest of these three numbers is
DanielleElmas [232]

Total value of ratio = 4+3+1 = 8

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numbers are 4(8), 3(8), 1(8) = 32, 24, 8

so, the greatest number is 32

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Through (7,2); parallel to 3x-y=8.
Dovator [93]

Answer:

x=4 y=4

Step-by-step explanation:

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3 years ago
Is -9 a solution of -9f=90-f
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Answer:

f = -11.25

Step-by-step explanation:

-9f = 90 - f

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f = -11.25

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