Answer:
Table B
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
<em>Verify table B</em>
For 
-----> 
For 
-----> 
For 
-----> 
For 
-----> 
The values of k are the same
therefore
The table B shows y as DIRECTLY PROPORTIONAL to x
<em>Verify table D</em>
For 
-----> 
For 
-----> 
For 
-----> 
For 
-----> 
the values of k are different
therefore
The table D not shows y as DIRECTLY PROPORTIONAL to x
Answer:
y=-2x-1
Step-by-step explanation:
First we need to know the slope-intercept equation:
y=mx+b
m: slope
b: y-intercept
First we find the slope:
Slope = (y₂-y₁)/(x₂-x₁)
Use any two x and y values on the table:
Slope = [-5-(-3)]/(2-1) = -2/1 = -2
Now we find the y-intercept:
y=mx+b
y=-2x+b
We plug in a pair of x and y values into the equation:
-3=-2(1)+b
-3=-2+b
b=-1
So the slope-intercept equation is:
y=-2x-1
In order to get an equation is slope intercept form, we need to find the slope.
The formula is:
y2 - y1
———-
x2 - x1
In this case:
10 - 2
———
7 - 3
=
8/4
2
Now that we know the slope, we can plug it into y = mx + b with x and y being x1 and y1.
y = 2x + b
10 = 2(7) + b
10 = 14 + b
-4 = b
Now, we can construct our equation.
y = 2x - 4
Hope this helped!
3t^2+17t-56 is the answer
<h3>
Answer: 13/36</h3>
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Explanation:
Refer to the chart below. The values in red up top add to the values in blue along the left column to get the 6 by 6 grid of values inside. This represents all of the possible ways to add up values on a pair of dice. There are 6*6 = 36 outcomes.
Of those 36 outcomes, we have 13 outcomes where we roll less than a 4, or greater than 8
- outcome = 1+1 = 2
- outcome = 1+2 = 3
- outcome = 2+1 = 3
- outcome = 3+6 = 9
- outcome = 4+5 = 9
- outcome = 5+4 = 9
- outcome = 6+3 = 9
- outcome = 4+6 = 10
- outcome = 5+5 = 10
- outcome = 6+4 = 10
- outcome = 5+6 = 11
- outcome = 6+5 = 11
- outcome = 6+6 = 12
These 13 results are shown in green boxes in the diagram.
Since we have 13 ways to get what we want, out of 36 total, the final answer as a fraction is therefore 13/36
13/36 = 0.3611 = 36.11% approximately
