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Slav-nsk [51]
4 years ago
5

Please help. I’ll mark you as brainliest if correct!

Mathematics
2 answers:
Strike441 [17]4 years ago
8 0

<em>answer \\ g(x) =  -  |x + 2|   - 1\\ as \: we \: can \: see \: from \: the \: given \: graph \\ above \: that \: the \: graph \: of \: absolute  \\ function \: has \: been \: reflected \: over \: the  \\ x \: axis \:  \: shifted \: 2 \: units \: left \: and \: 1 \:  \\ units \: down. \\ due \: to \: reflection \: there \: is \: a \: negative \\ sign \: shift \: of \: 2 \: units \: left \: is \: given \\ by \: x + 2 \: and \: 1 \: units \: down \: is \: given \\ by \:  - 1 \\ hope \: it \: helps</em>

Ksenya-84 [330]4 years ago
5 0

answer is g(x)=|x+2|-1

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<span>The table to represent a linear function with a rate of change of +5
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so, m = 13 + 5 = 18

The correct answer is option 3 ⇒ <span>m = 18
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========================================
another solution :
The table represents a linear function
the general equation of the linear function is ⇒ y = ax+b
where a is the slope and b is constant
By using the first and the third points from table to find the equation of the linear function
at x = 3  ⇒ y = 13   and   at x = 5 ⇒ y = 23
∴ 13 = 3a+b → (1)

23 = 5a+b → (2)
solve (1) and (2) to find a and b
So,  a = 5  and b = -2
∴ y = 5x - 2

After that by substitution with x = 4 int the equation of y
∴ y = 5*4-2 = 18

∴ m = 18
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