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I am Lyosha [343]
2 years ago
14

Which value of x makes the equation 0. 75(x + 20) = 2 + 0. 5(x - 2) true?

SAT
1 answer:
bija089 [108]2 years ago
7 0

Answer:

-56

Explanation:

From the equation:

0.75(x + 20) = 2 + 0.5(x - 2)

Open brackets

0.75x + 15 = 2 + 0.5x - 1

Collect like terms

0.75x - 0.5x = 2 - 1 - 15

0.25x = - 14

Divide both sides by 0.25

x = -56

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In the xy-plane, if (0,0) is a solution to the inequalities above, which of the following relationships between a+b must be true
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  • a must be greater than zero
  • b must be less than zero

<h2>Explanation:</h2>

The complete question is written in a comment above. The system of inequalities is the following:

\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}yx+b\end{array}\right.

So, in order to find a \ and \b you just need to replace both x and y-coordinates into our system. Therefore:

\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}00+b\end{array}\right. \\ \\ \\ Solving: \\ \\ \begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}0b\end{array}\right. \\ \\ \\ Finally: \\ \\ \begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}a>0\\b

So the conclusion is:

  • a must be greater than zero
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<h2>Learn more:</h2>

Inequalities: brainly.com/question/12890742

#LearnWithBrainly

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