It is true that the product of two consecutive even integers are always one less than the square of their average.
<u>Step-by-step explanation</u>:
Let the two consecutive odd integers be 1 and 3.
- The product of 1 and 3 is (1
3)=3 - The average of 1 and 3 is (1+3)/2 =4/2 = 2
- The square of their average is (2)² = 4
∴ The product 3 is one less than the square of their average 4.
Let the two consecutive even integers be 2 and 4.
- The product of 2 and 4 is (24)=8
- The average of 2 and 4 is (2+4)/2 =6/2 = 3
- The square of their average is (3)² = 9
∴ The product 8 is one less than the square of their average 9.
Thus, It is true that the product of two consecutive even integers are always one less than the square of their average.
The formula can be used to determine how many students are required to earn $1,500 in profit.t:
5.n - 100 - 200 = 1500.
<h3>What is linear equation?</h3>
An equation is deemed to be linear if a variable's maximum power consistently equals 1. Another name for it is a one-degree equation. The form of the linear equation Ax + B = 0 is standard for one-variable linear equations. In this instance, as well as A are variables while B is a constant.
Ax + By = C is the standard form of a two-variable linear equation. This equation contains the variables x and y, the coefficients Both a B, as well as the constant C.
<h3>According to the given data:</h3>
Given that the no. of students is n.
DJ charge - $200 Decorations cost - $100
Charge each student should pay - $5.00
Therefore the equation that find the no. of students to make a profit of $1,500.5.n - 100 - 200 = 1500
To learn more about linear equation visit:
brainly.com/question/2030026
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To calculate a person’s BMI, you divide their weight( in kg) by their height ( in square meters). First convert 169 pounds to kg, which is 76.66. Then convert 65 inches to meters. 65 inches= 1.65 meters. Then divide 76.66/1.65= 46.46 kg/m
There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade.
