The length of the rectangle is = 72 cm
The width of the rectangle is = 56 cm
Area of the rectangle is =
= cm²
As given, the other rectangle has the same area as this one, but its width is 21 cm.
Let the length here be = x
Hence, length is 192 cm.
We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.
So, in the new rectangle,constant of variation=k is given by,
or
Hence, the constant of variation is
Answer:
The number of ways to form different groups of four subjects is 4845.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
In this case, 4 subjects are randomly selected from a group of 20 subjects.
Compute the number of ways to form different groups of four subjects as follows:
Thus, the number of ways to form different groups of four subjects is 4845.
Answer:
The function given is:
P(x) = 15x² + 350x - 2000
or
y = 15x² + 350x - 2000
Interchange x and y:
x = 15y² + 350y - 2000
x = (y√15)² + 2(y√15)(45.19) + (45.19)² - (45.19)² - 2000
x = ( y√15 + 45.19)² - 4042.14
( y√15 + 45.19)² = x + 4042.14
Take square root:
y√15 + 45.19 = (√(x + 4042.14))
y√15 = (√(x + 4042.14)) - 45.19
The minimum value of x, for which function is defined and real, is x= -4042.14
Hence, the range of inverse is x ≥ -4042.14