Answer:
-3/19
Step-by-step explanation:
Given data
We have the coordinates
(12, 2), (-7,5)
x1=12
y1=2
x2=-7
y2=5
The expression for the slope is given as
Slope= y2-y1/x2-x1
Substiute
Slope= 5-2/-7-12
Slope= 3/-19
Hence the slope is -3/19
Answer:
(5, 6, 9)
Step-by-step explanation:
The domain is basically the set of all x values while the range is the set of all y values, in this case, it's the values of f(x). To find the range, we can plug the x values into the equation:
f(-2) = 9
f(-1) = 6
f(0) = 5
f(1) = 6
f(2) = 9
Since we can't have repeats in the range, it would be: (5, 6, 9)
Answer:
a subset of integers
Step-by-step explanation:
You have to look at the definition of the variable and the meaning of the function value in order to determine suitable domain values.
Here, the variable is defined as a number of dimes. It must be a non-negative integer, a subset of the integers. (We cannot count fractional dimes or negative dimes.)
___
Since the variable represents "a handful of dimes", there must be an upper limit on its value. We expect that it will be something less than 1000 (20 rolls of dimes), but it might be slightly more.
A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.
<h3>What is a proportion?</h3>
A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a direct proportion can be represented the following equation:
y = kx
<u>Where:</u>
- y and x are the variables.
- k represents the constant of proportionality.
Since the recipe ingredients remain in a constant ratio, we have:
k = y/x
For table 1, we have:
k = 2/1 = 2.
k = 3/2 = 1.5.
k = 4/3.
For table 2, we have:
k = 2/1 = 2.
k = 4/2 = 2.
k = 8/3.
For table 3, we have:
k = 2/1 = 2.
k = 3/2 = 1.5.
k = 5/3.
For table 4, we have:
k = 2/1 = 2.
k = 4/2 = 2.
k = 6/3 = 2.
In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.
Read more on proportionality here: brainly.com/question/12866878
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