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Alex777 [14]
3 years ago
14

What is the constant of proportionality of y to x?

Mathematics
2 answers:
Aneli [31]3 years ago
6 0

Answer: k=2.5

Step-by-step explanation:

1. As you can see in the graph, when x increases, y also increases at the same rate, therefore, it is a direct proportion that has the following form

y=kx

2. Choose one of the points shown in the graph, substitute it into the expression and solve for k, which is the constant of proportionality, as following:

10=k*4\\k=2.5

AleksAgata [21]3 years ago
4 0

<u>Answer:</u>

2.5

<u>Step-by-step explanation:</u>

We are given a graph with a positive slope where the value of y increases when the value of x increases.

For the given graph, we are to find the constant of proportionality of y to x which is the slope of the given line.

We know the formula of the slope = \frac{y_2-y_1} {x_2-x_1}

Substituting the given values in the formula:

\frac{15-10}{6-4} = \frac{5}{2} = 2.5

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A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportiona
Masteriza [31]

Answer:

900 calories

Step-by-step explanation:

each cracker has 5 calories so you would times 5 by 180 which gets you 900

6 0
3 years ago
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Write the set of points from −6−6 to 33 but excluding −2−2 and 33 as a union of intervals:
Softa [21]

In this question, we have to write the set of points from -6 to 3 but excluding -2 and 3 as a union of intervals .

For union, we use U.

For the points that we have to exclude , we put parenthesis on there side  that is  ().

Therefore the required interval form is

[-6,-2)U(-2,3)

As we see that () are used with -2 and 3 . And that's the required interval form .

5 0
3 years ago
How do you solve f(x) = 800(1.09)3x
natta225 [31]

Answer:

2616x

Step-by-step explanation:

8 0
3 years ago
Write the equation of the line that has a slope of -2 and goes through the point (-3,4).
liubo4ka [24]

<u>SOLUTION:</u>

General Equation: y = mx + b

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Substitute slope = -2 into the equation:

y = -2x + b

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Find the y-intercept:

4 = -2(-3) + b

4 = 6 + b

b = -2

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Substitute b = -2 into the equation:

y = -2x - 2

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Answer: y = -2x - 2

4 0
3 years ago
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Can someone please help
chubhunter [2.5K]

Answer:


Step-by-step explanation:

She has 28056 before any deductions are taken off. As far as the IRS is concerned every penny she earns is fully accountable for the 4 categories that she has to pay into.

The problem with the question is you are not told what is wanted. Do they want the income before or after the deductions have been made or do they want the accountable sum (28056)? I don't really know. 28056 is one possible answer.

Total deductions

  • Federal Tax     3780.90
  • State Tax           770.98
  • Medicare            406.81
  • SSI                     <u>1739.47</u>
  • All Deductions  6698.16

 Income = 28056 - 6698.16 = 21357.84

I think the answer you want is 28056

One answer it is not is 4*28056 = 112224. The tax is far too low for that kind of income.

3 0
3 years ago
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