The constant of proportionality is 5/9
y= kx where k is the constant of proportionality
y = 5/9 x
k = 5/9
Answer:
Step-by-step explanation:
<u>Given functions</u>:
Solve for p(x) = r(x):
As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:
<u>Quadratic Formula</u>
Therefore:
Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:
Therefore, the solutions are:
Learn more about quadratic equations here:
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56% can be represented with 56/100. That fraction can be reduced (or simplified) to 14/25.
Answer: 45%
Step-by-step explanation:
Converting the word problem into words, we have:
18= x/100*40
Solving for it, we get that x=45.
<h3>
Answer: n+15</h3>
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Explanation:
- n = number of minutes
- cost of company X = 3n+30
- cost of company Y = 2n+15
To find out how much more company X charges, we subtract the two cost expressions
CompanyX - CompanyY = (3n+30)-(2n+15) = 3n+30-2n-15 = n+15 which is the final answer.
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An example:
Let's say you talk on the phone for n = 20 minutes.
Company X would charge you 3n+30 = 3*20+30 = 90 cents
Company Y would charge you 2n+15 = 2*20+15 = 55 cents
The difference of which is 90-55 = 35 cents.
If you plugged n = 20 into the n+15 expression we got, then n+15 = 20+15 = 35 matches up with the previous 35 cents.
This example helps confirm the answer. I'll let you try out other examples.
