The sum of two numbers is 14. One number is two less than 3 times the other.

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priscillacastillo2

02/10/2019

Mathematics

Middle School

answered

The sum of two numbers is 14 one number is two less than three times the other. find the numbers

1

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The numbers are and

Step-by-step explanation:

Let

x> one number

y> the other number

we know that

> equation A

> equation B

Substitute equation B in equation A and solve for y

Find the value of x

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

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step-by-step explanation: