1.53 rounded to the nearest tenth is 1.5
There are 6 apples and 2 oranges.
So the ratio of apples to oranges would be 6:2.
However this can be simplified, because these number have a common factor, which is 2. So you divide 2 by 2, and 6 by 2, and get 1 and 3. So the ratio of apples to oranges in simplified form is 1:3. Hope this explains it :)
The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
<h3>What is the Equation of a Linear Function?</h3>
Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.
Find the slope (m):
Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)
Slope (m) = -3/1 = -3
Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:
-1 = -3(1) + b
-1 = -3 + b
-1 + 3 = b
2 = b
b = 2
Substitute m = -3 and b = 2 into y = mx + b
y = -3(x) + 2
y = -3x + 2
Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
Learn more about equation of linear function on:
brainly.com/question/15602982
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
Answer:
x1 = 2
x2 = -1/3
Step-by-step explanation:
3x^2-5x-2=0
D=25-4*(-2)*3 = 25 + 24 = 49 --> sqrt 49 = 7
x1 = 5 + 7 / 2*3 = 2
x2 = 5 - 7 / 2*3 = -1/3
