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sattari [20]
3 years ago
8

What are the independent and dependent variables in the relationship?

Mathematics
1 answer:
Sindrei [870]3 years ago
5 0

w is the width and it is the independent variable. You can pick any positive whole number you want (within reason of course; you can't go to infinity or go beyond some set boundary). Whatever you picked for w, the expression 2w-5 will be dependent on it. So the length is dependent on the width.

For instance, if the width is w = 10 feet, then 2w-5 = 2*10-5 = 20-5 = 15 feet is the length. The choice of 10 feet for the width directly affects the length being 15 feet.

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What does a slope of 1/4 look like
Reil [10]
Slope is also known as rise over run - 
\frac{rise}{run}
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3 0
3 years ago
What is the average rate of change from x = −3 to x = −4?
Vika [28.1K]

Answer:

-2

Step-by-step explanation:

Since it would be immensely helpful to know the equation of this parabola, we need to figure it out before we can continue.  We have the work form of a positive upwards-opening parabola as

y=a(x-h)^2+k

where a is the leading coefficient that determines the steepness of lack thereof of the parabola, x and y are coordinates of a point on the graph, and h and k are the coordinates of the vertex.  We know the vertex: V(-3, -3), and it looks like the graph goes through the point P(-2, -1).  Now we will fill in the work form equation and solve for a:

-1=a(-2-(-3))^2-3

which simplifies a bit to

-1=a(1)^2-3

and

-1 = a(1) - 3.  Therefore, a = 2 and our parabola is

y=2(x+3)^2-3

Now that know the equation, we can find the value of y when x = -3 (which is already given in the vertex) and the value of y when x = -4.  Do this by subbing in the values of x one at a time to find y.  When x = -3, y = -3 so the coordinate of that point (aka the vertex) is (-3, -3).  When x = -4, y = -1 so the coordinate of that point is (-4, -1).  The average rate of change between those 2 points is also the slope of the line between those 2 points, so we will use the slope formula to find it:

m=\frac{-1-(-3)}{-4-(-3)} =\frac{2}{-1}=-2

And there you have it!  I'm very surprised that this question sat unanswered for so very long!  I'm sorry I didn't see it earlier!

5 0
3 years ago
The dimensions of mr. tai's living room are 10 feet x 18 feet x 8 feet.What is the total volume,in cubic feet,of the rooms?
daser333 [38]
1440 ft^3, hope i helped you
6 0
3 years ago
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