3 years ago

HELP WILL MARK BRAINLIEST AND GIVE 30 POINTS!

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

3 0

Counterclockwise rotation about the origin by 180 degrees, followed by a reflection over the y-axis.
The second chloce.

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What is the solution to the inequality? -2/3(2x - 1/2) ≤ 1/5x - 1 Express your answer in interval notation.

almond37 [142]

ANSWER

$-\frac{2}{3}(2x-\frac{1}{2})\le \frac{1}{5}x-1$

Multiply through by LCM of 15

$(15) \times -\frac{2}{3}(2x-\frac{1}{2})\le 15(\frac{1}{5}x-1)$

$-10(2x-\frac{1}{2})\le 3x-15$

Expand brackets to obtain,

$-20x+5\le 3x-15$

Group like terms

$15+5\le 20x+3x$

$20\le 23x$

$\frac{20}{23}\le x$

$x\ge \frac{20}{23}$

In interval form it is written as

$[\frac{20}{23}, \infty)$

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Answer:

45.2 is the constant of proportionality.

Step-by-step explanation:

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