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2 years ago

Simplify 1. 4(y - 3) + 2y 2. -2(b - 6) 3. 6x + 2 - 3x - 5

Mathematics

2 answers:

garri49 [273]2 years ago

5 0

Answers in order

6y-12
-2b+12
3x-3

Dafna11 [192]2 years ago

5 0

1.) 4(y-3)+27
4y-12+27
final answer:4y+15

2.)-2(b-6)
final answer:-2b+12

3.)6x+2-3x-5
6x-3x+2-5
final answer:3x-3

^_^

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2 years ago

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2 years ago

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pashok25 [27]

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3 years ago

Read 2 more answers

the vertex of this parabola is at (3,5). When the y-value is 6, the x-value is -1. What is the coefficient of the squared term i

otez555 [7]

Now, assuming is a vertical parabola, so the squared variable is the "x", let's do some checking.

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=3\\
k=5
\end{cases}\implies y=a(x-3)^2+5
\\\\\\
\textit{we also know that }
\begin{cases}
y=6\\
x=-1
\end{cases}\implies 6=a(-1-3)^2+5
\\\\\\
1=a(-4)^2\implies 1=16a\implies \cfrac{1}{16}=a$

6 0

3 years ago

Simplify 1. 4(y - 3) + 2y 2. -2(b - 6) 3. 6x + 2 ­- 3x ­- 5

Simplify 1. 4(y - 3) + 2y 2. -2(b - 6) 3. 6x + 2 - 3x - 5