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3 years ago

Solve the inequality, show your work: -5x + 2 > 37

Mathematics

1 answer:

KengaRu [80]3 years ago

6 0

Let's first move our numbers to the right

by subtracting 2 from both sides.

On the left, the +2 -2 cancels and we have -5x

and on the right, 37 - 2 simplifies to 35.

So we have -5x > 35.

Now divided both sides by -5.

However, when you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

So dividing both sides by -5, we have <em>x < -7</em>.

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Click once to choose an answer. Click again to change your answer. Choose all that locate the ordered pair in the correct quadra

forsale [732]

Answer:

$Quadrant\ IV = (5, -3)$

$Quadrant\ I = (9, 11)$

$Quadrant\ II = (-1, 3)$

$Quadrant\ III = (-2, -4)$

Step-by-step explanation:

Given

$Quadrant\ IV = (5, -3)$

$Quadrant\ II = (-4, -8)$

$Quadrant\ I = (9, 11)$

$Quadrant\ II = (-1, 3)$

$Quadrant\ III = (-2, -4)$

Required

Determine which coordinate fall in the right quadrant

First, we split the each quadrant into x and y axis

In the first:

x and y is +

In the second:

x is - and y is +

In the third

x and y are -

In the fourth

x is + and y is -

Comparing the given coordinates to their respective quadrants, base on the conditions stated above

$Quadrant\ IV = (5, -3)$ is correct

$Quadrant\ I = (9, 11)$ is correct

$Quadrant\ II = (-1, 3)$ is correct

$Quadrant\ III = (-2, -4)$ is correct

$Quadrant\ II = (-4, -8)$ is incorrect

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What is 1 plus -1/8????????

Kazeer [188]

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4 years ago

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Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both

Anika [276]

Keywords:

<em>Equation, simplified, variable, compare </em>

For this case, we have an equation of the form $y = f (x)$ , where $f (x) = 3 (4x - 6)$ . The equation was simplified and we want to find the value of $f (x)$ when the variable $x = 2$ and compare the result of both equations. So:

$f (x) = 3 (4x - 6)$ (1)

We apply distributive property to simplify, taking into account that: $a (b + c) = ab + ac$

$f (x) = 12x-18$ (2)

If $x = 2$ , we substitute in the original equation and in the simplified equation:

1) $f (2) = 3 (4 (2) - 6) = 3 (8-6) = 3 * 2 = 6$

2) $f (2) = 12 (2) -18 = 24-18 = 6$

Thus, when $x = 2$ is substituted in both expressions, the result is 6.

Answer:

For $f (x) = 3 (4x - 6)$ and $f (x) = 12x-18$ , substituting $x = 2$ we have the result is 6.

6 0

4 years ago

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