Answer:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. If they are inversely proportional, an increase in the value of one variable would cause a corresponding decrease in the other variable.
Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is
9/3 = 27/9 = 3
Therefore, the relationship is a direct variation and the function to model it is
y = 3x
Step-by-step explanation:
Functions can be represented using equations, graphs and tables.
The function is given as:
When l = 1, we have:
When l = 2, we have:
When l = 3, we have:
When l = 4, we have:
Represent the above results as a table, we have:
<u>l a(l)</u>
1 0.5
2 2.0
3 4.5
4 8.0
Read more about tables and functions at:
brainly.com/question/13136492
0.045 = 45/1000
Divide top and bottom by their greatest common factor.
It looks to me as though the greatest common factor of 45 and 1,000 is 5 .
Divide top and bottom by 5 and we have <u>9/200</u> . That's the simplest form.
Answer:
m∠ABD = 88º
m∠CBD = 23º
Step-by-step explanation:
(-10x + 58) + (6x + 41) = 111
Combine like terms
-4x + 99 = 111
Subtract 99 from both sides
-4x = 12
Divide both sides by -4
x = -3
------------------------
m∠ABD = -10x + 58
m∠ABD = -10(-3) + 58
m∠ABD = = 30 + 58
m∠ABD = 88º
m∠CBD = 6x + 41
m∠CBD = 6(-3) + 41
m∠CBD = -18 + 41
m∠CBD = 23º
