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blagie [28]
3 years ago
9

The sum of twice a number and seven is equal to the sum of a number and six. find the number

Mathematics
1 answer:
Ber [7]3 years ago
3 0

<u>The number is -1</u>

-

Steps:

2x + 7 = x + 6 (Sum of twice a number and 7 is equal to sum of the number and 6.)

2x = x - 1 (Subtracted 7 from both sides.)

x = -1 (Subtracted x from both sides.)

-

Hope this helped :)

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The vertex of this parabola is at (2,-1) when the y value is 0 and then x value is 5 what is the coefficient of the squared term
Darina [25.2K]

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{2}{ h},\stackrel{-1}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=2\\ k=-1 \end{cases}\implies y=a(x-2)^2-1 \\\\\\ \textit{we also know that } \begin{cases} y=0\\ x=5 \end{cases}\implies 0=a(5-2)^2-1\implies 1=9a \\\\\\ \cfrac{1}{9}=a\qquad therefore\qquad \boxed{y=\cfrac{1}{9}(x-2)^2-1}


now, let's expand the squared term to get the standard form of the quadratic.


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