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 (2
4)=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.
Let's call the first unknown integer x and the second one y.
"Four times an unknown integer"
"Multiplied by three times the unknown integer plus a different unknown integer"
- 4x is multiplied by 3x+y, so 4x(3x+y)=12x²+4xy
"Equals 100."
And so the answer is C: 12x²+4xy-100=0
Answer:
Step-by-step explanation:
here A(-3,-2)
-3 is x and -2 is y
so use this formula to find A'
p(x,y)=p'kx,ky)
here k is a scale factor which is 1/2
A(-3,-2)=A'(1/2*-3.1/2*-2)
A'(-3/2,-1)
Answer:
65
Step-by-step explanation:
Answer:
The productivity is measured in cubic meters per kilogram.
Step-by-step explanation:
For the formula for the productivity
of the camel

where
is the area of the hump and is measured in square meters,
is the distance the camel can travel (measure in meters), and
is the mass of the camel (measured in kilograms
).
Then, the productivity of the camel is measure in


cubic meters per kilogram.