3 years ago

How do I solve this

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

7 0

The answer for this problem is z=18

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Moe, Curly, and Larry are brothers. Moe is the youngest brother, white Larry is the oldest brother. Their ages are consecutive i

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Answer:

middle brother = x

older brother = x+1

younger brother = x-1

x-1+x+x+1=129

3x+0=129

3x=129

x = 43(middle brother)

43-1 = 42(younger brother)

43+1 = 44(elder brother)

Check:

43-1+43+43+1=129

42+43+44=129

129=129

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The vertex of the parabola below is at the point (1,3), and the point (2,6) is

Inessa05 [86]

Answer:

B. y=3(x-1)2 + 3

Step-by-step explanation:

Given that

vertex of the parabola is at the point (1,3)

let's verify, if the option B is the correct equation of the parabola.

$y=3(x-1)^2 + 3\\ \\y=3(x^2+1-2x) + 3\\\\y=3x^2+3-6x + 3\\\\y=3x^2-6x + 6....Eq1$

comparing to standard equationof parabola (standard quadratic equation), we get

$a=3, b=-6 and c=6$

to find the vertex we use formula for x- coordinate as $x=-b/2a$

$x=-(-6)/2(3)\\\\x=6/6\\x=1$

to find y put x=1 in the Eq1, we get

$y=3(1)^2-6(1)+6\\\\y=3-6+6\\\\y=3$

vertex =(x,y) = (1, 3)

thus vertex of the parabola from the equation y=3(x-1)2 + 3 is (1,3), thus verified

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3 years ago