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Mathematics

1 answer:

Delvig [45]2 years ago

3 0

Answer:

$-0.2(x - 4) = - 1.7$

$-0.2x + 0.8 = - 1.7$

$-0.2x = - 2.5$

$x = 12.5$

Step-by-step explanation:

Solving $-0.2(x - 4) = - 1.7$ using the distributive property:

$(-0.2)(x) + (-0.2)(-4) = - 1.7$

$-0.2x + 0.8 = - 1.7$

Subtract 0.8 from both sides

$-0.2x + 0.8 - 0.8 = - 1.7 - 0.8$

$-0.2x = - 2.5$

Divide both sides by -0.2

$\frac{-0.2x}{-0.2} = \frac{-2.5}{-0.2}$

$x = 12.5$

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PilotLPTM [1.2K]

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For instance, to get '3x' on its own, you must add 7.
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5 0

2 years ago

Write a rule y=f(x) that would produce the graph.

katen-ka-za [31]

Answer:

y = | x+2 | -1

Step-by-step explanation:

The absolute value function is shifted left 2 units and down 1. That makes it ...

y = abs(x+2) -1

Using the usual symbols for absolute value:

y = |x+2| -1

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The translation transformation is ...

y = f(x -a) +b

to translate the graph of f(x) right by "a" units and up by "b" units. Here, we have a translation left 2 and down 1, so a=-2, b=-1. The original function is the absolute value function in this case.