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3 years ago

How to find constant of proportionality of a non proportional graph

Mathematics

1 answer:

Anna11 [10]3 years ago

7 0

<h3>How to Solve The Constant of Proportionality of a Non Proportional Graph?</h3>

We apply our knowledge on the direct and inverse variations, identify them and then determine the constant of proportionality and thereby get the solutions to our problems.

Example 1:

Find the constant of proportionality, if y=24 and x=3 and y ∝ x.

Solution: We know that y varies proportionally with x. We can write the equation of the proportional relationship as y = kx. Substitute the given x and y values, and solve for k.

24 = k (3)

k = 24 ÷ 3 = 8

Therefore, the constant of proportionality is 8.

Example 2:

4 workers take 3 hours to finish the desired work. If 2 more workers are hired, in how much time will they complete the work?

Solution:

Let x1 = number of workers in case 1 = 4

x2 = Number of workers in case 2 = 6

y1 = number of hours in case 1 = 3

y2 = number of hours in case 2 = To be found

If the number of workers is increased, the time taken to complete will reduce. We find that number of workers is inversely proportional to the time taken, (y1 = k/x1) ⇒ 3 = k / 4⇒ k = 12

Again, to find the number of hours, (y2 = k/x2) ⇒ y2 = 12/6 = 2 hours.

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80 points! Look at pic attached. I will mark brainiest if you explain your reasoning good. Random answers will be reported.

gregori [183]

Answer: No, your friend is not correct. You cannot use a similarity transformation to turn a square into a rectangle. Here's why:

1) If you used a similarity transformation, the size and position of the shape would change, but the shape itself remains the same.

2) Squares and rectangles are NOT similar.* Referring to the first point I listed, if the shapes are not similar, then a similarity transformation cannot be used to turn one shape into another.

<em>*Similar means that the edges are proportional to one another, such as a square with sides of 4 meters vs a square with sides of 2 meters: the sides are different lengths, but the shape is the same.</em>

I hope this helps! Please feel free to comment below if you need any clarification. Have a good day, and good luck on your assignment. :)

7 0

3 years ago

A new club sent out 172 coupons to boost sales for next year's memberships. They provided 3 times as many to potential members

cricket20 [7]

Answer: 172: 4= 43

43× 3= 129

172-129= 43

Odp.Wysłali 43 kupony do istniejących członków.

Step-by-step explanation:1.bo wysłali 3×wiecej i jeszcze są istniejący członkowie

2.ile wyslali potencialnym

3.i ile wyslali do istniejacych

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4 years ago

Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the

bagirrra123 [75]

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in $x^3 + 3x^2 + 5$ , the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, $x^3$ and $3x^3$ are like terms since variable is same, and it is raised to same power 3.

For example $4x^2$ and $x^3$ are not like terms as the variables are same but powers aren't same.

The given polynomials are:

$c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10$

Their sum is

$c(x) + p(x) = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11$

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

$c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5 +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9$

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

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2 years ago

A forest ranger spots a fire from a 21-foot tower. The angle of depression from the tower to the fire is 12 degrees . To the nea

Finger [1]

Answer:

Step-by-step explanation:

98.8

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3 years ago

Carl has been recording the number of pears on his pear tree each week: week pears 6 32 7 37 8 42 9 47 The function representing

lilavasa [31]

The constant 2 is the number of pears at the start, answer option 2.

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3 years ago

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