Using proportions, it is found that the coordinates of point P are given as follows: (2,10).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The segment is partitioned by point P according to the ratio of 3:4, hence:
This proportion is applied for both coordinates, hence, for the x-coordinate:
x - 2 = 0
x = 2.
For the y-coordinate:
y - 4 = 6
y = 10.
Hence the coordinates are (2,10).
More can be learned about proportions at brainly.com/question/24372153
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48% means 48/100
48/100
Factor out the 4
4 x 12/4 x 25
As 4 appears in both numerator and denominator as a factor it can be eliminated
12/25( Simplest Form)
Hope I helped!
Answer:
To have maximum profit, the price must be increased by 5,
Step-by-step explanation:
Given that the price increase function is:
f(x) = -2x² + 20x + 150,
For maximum profit, then f(x) = 0.
Putting f(x) = 0, we have
-2x² + 20x + 150 = 0
Or
x² - 10x - 75 = 0
(x + 5)(x - 15) = 0
x = -5
Or
x = 15
Again, differentiating f(x) and equating to zero, we have
-4x + 20 = 0
4x = 20
x = 20/4
= 5
To have maximum profit, the price must be increased by 5,
The answer is A.
Thank you :)
Answer: -18 is NOT included in the Natural Numbers, Whole Numbers, or Irrationals. <em>Based on the choices you provided, the answer is IRRATIONALS.</em>
<u>Step-by-step explanation:</u>
Here are the subsets of the Real Numbers (in order) -
Natural Numbers: 1, 2, 3, .... <em>(does not include -18)</em>
Whole Numbers: 0, 1, 2, 3, ... <em>(does not include -18)</em>
Integers: ... -3, -2, -1, 0, 1, 2, 3, ... (INCLUDES -18)
Rationals: ... Integers and terminating and repeating decimals (INCLUDES -18)
Irrationals: ... non-terminating decimals only (decimals that are not rationals) <em>(does not include -18)</em>