Mathematical proofs are important because they help to explain concepts. They also serve as concrete validation for a mathematical result or statement.
- In geometry, an incorrect conclusion within a proof might lead to wrong estimations of size, length, and other spatial properties.
- Algebra, topology, arithmetics, calculus, and statistics are some other branches of mathematics. In statistics, an incorrect conclusion within a proof might lead to the wrong interpretation of bulky data. Statistical properties like the mean, median, and mode can be misinterpreted.
- Businesses that rely on statistics for production and forecasting might be affected.
<h3>What is a Mathematical proof?</h3>
A proof in mathematics is a number of conclusions that lead to the justification of a final statement.
Having incorrect mathematical proofs can be dangerous because it will cause the misinterpretation of concepts and the obtaining of wrong results.
Learn more about mathematical proofs here:
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Answer:
(3) y = 4x
Step-by-step explanation:
In order for the equation not to change, the point (0, 0) must be on the original line and so on the line after dilation. The only equation with (0, 0) as a point on the line is y=4x.
Dilation about the origin moves all points away from the origin some multiple of their distance from the origin. If a point is on the origin, it doesn't move. We call that point the "invariant" point of the transformation. For the equation of the line not to change, the invariant point must be on the line to start with.
Answer:
2nd
Step-by-step explanation:
using the quadric formula
do the math and you get the second one.
{-1/3,5/2}
Meatloaf consumed = 1/2 x 3 = 1.5 ounces
Mashed potatoes consumed = 3/4 x 3 = 2.25 ounces
Green beans consumed = 1/3 x 2 = 0.67 ounces
Total solid food = 1.5 + 2.25 + 0.67
= 4.42 ounces of solid food consumed
Answer:
Let price of drink be x
price of tub y
You have 4x+2y=32.5 (1) and
x = y -3.5 (2)
Plug for x from (2) into (1):
4(y-3.5) + 2y = 32.5
4y -14 +2y = 32.5
6y = 14+32.5
y = (46.5)/6 = $7.75 the price of tub
x= y-3.5 = 7.75 - 3.5 = $4.75