1. The 2nd number line represents the inequality.
Explanation:
In words, the inequality reads "negative six is less than x, which is less than or equal to two". On the number line, the open circle at negative six means that -6 is not a solution to the inequality: -6 < x. The point at positive two means that positive two is a solution to the inequality: x ≤ 2. Therefore, all numbers greater than -6 and less than or equal to +2 are solutions to the inequality. This is shown on the second number line.
2. False
Explanation:
In words, the inequality reads "x is less than negative five". This means that all numbers less than -5 are solutions to the inequality. Positive four is not less than negative five, so it is not a solution to the inequality.
3. x > 2
Explanation:
To solve the inequality, we have to move all the terms that do not contain x to one side. This inequality is simple because it only requires one step: subtraction.
Solve for x: x + 3 > 5
1. Subtract 3 from both sides to get x by itself:
x + 3 - 3 > 5 - 3
2. Simplify
x > 2
Answer:
x = -6/5
Step-by-step explanation:
distribute -4 on the left side of the equation first, then distribute 2 on the right side of the equation to get:
16x - 4 - 4x = 2x - 14 - 2
combine 'like terms':
12x - 4 = 2x - 16
subtract '2x' from each side to get:
10x - 4 = -16
add 4 to each side to get:
10x = -12
x = -12/10 or x = -6/5
Answer:
The answer is A.
The value of the 1 in the one's place is 10 times the value of the 1 in the tenths place.
Step-by-step explanation:
1) The x-axis represents the energy (
), in joules. The y-axis represents the amplitude (
), in milimeters.
2) The curve depicts an <em>monotonous decrecent</em> rate of change.
3) The amplitude is directly proportional to the root square of the energy.
<h3>How to analyze a graph relationship between two variables</h3>
In this question we have a relationship between two variables, in which we must apply principles of <em>functional</em> analysis to respond three questions presented in the statement.
Now we proceed to answer the three questions below:
- <em>What is on the x-axis? The y-axis?</em> R/ The x-axis represents the energy (), in joules. The y-axis represents the amplitude (), in milimeters.
- <em>How would you describe the rate of change of the line?</em> R/ The curve depicts an <em>monotonous decrecent</em> rate of change, that is, the slope converges to zero when the energy tends to infinite.
- <em>What does this tell you about the relationship between amplitude and energy?</em> R/ The curve show a strong similarity with a function of the form
. Hence, the amplitude is directly proportional to the root square of the energy.
To learn more on functions, we kindly invite to check this verified question: brainly.com/question/12431044
