3 years ago

Solve for x. 5x– 2(x+1) =1/4 Enter your answer in the box. X=_

Mathematics

1 answer:

Nadya [2.5K]3 years ago

8 0

Answer:

x = 3/4

Step-by-step explanation:

5x - 2(x + 1) = 1/4

(5x - 2x) - 2 = 1/4

3x - 2 = 1/4

3x = 1/4 (+2)

1/4 + 2 = 2 1/4 turn into decimal form, 2 x 4 = 8 + 1 = 9, so 9/4

3x = 9/4

9/4 divided by 3 = 3/4

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The zeros of a parabola are –4 and 2, and (6, 10) is a point on the graph. Which equation can be solved to determine the value o

Fittoniya [83]

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
y=a(x- h)^2+ k\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
\stackrel{\textit{zeros\qquad \qquad \qquad }}{
\begin{cases}
x=-4\implies &x+4=0\\
x=2\implies &x-2=0
\end{cases}}
\\\\\\
\stackrel{\textit{factored vertex form}}{y=a(x+4)(x-2)}\qquad (6,10)\textit{ we also know that }
\begin{cases}
x=6\\
y=10
\end{cases}
\\\\\\
10=a(6+4)(6-2)$