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attashe74 [19]
3 years ago
10

1. Given the equation ​ ​y​ = -3​x​ + 2.5

Mathematics
1 answer:
valentina_108 [34]3 years ago
4 0

Answer:

a. when x=1 so substitute 1 to any X in the given equation.

y=-3(1)+2.5

y=-3+2.5

y=-0.5

b.when x is -1.5 so substitute -1.5 to any x in the equation

y=-3(-1.5)+2.5

y=-4.5+2.5

y=-2

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Let <em>A</em> be your age, <em>B</em> be the age of your brother and <em>S</em> be the age of your sister.

Since your brother is 1/4 your age, then:

B=\frac{1}{4}A

Since your sister is 8 years older than your brother, then:

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Since your sister is 12 years old, then:

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Use the second equation to find your brother's age by plugging in <em>S=12</em>:

\begin{gathered} S=B+8 \\ \Rightarrow12=B+8 \\ \Rightarrow B=12-8 \\ \therefore B=4 \end{gathered}

Plug in <em>B=4</em> in the first equation to find your age:

\begin{gathered} \frac{1}{4}A=B \\ \Rightarrow\frac{1}{4}A=4 \\ \Rightarrow A=4\times4\rbrack \\ \therefore A=16 \end{gathered}

Therefore, you are 16 years old.

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