Step-by-step explanation:
For example:
Ex: 2:3 :: 6:9
In this question, the means are 3 and 6.
The extremes are 2 and 9.
We use this method to find whether the two ratios are equal or not.
We multiply the means and the extremes, and if there products are same, then these two ratios are proportional.
If these two ratios are proportional, their "means" = "extremes"
=> Means = Extremes
=> 3 x 6 = 2 x 9
=> 18 = 18
So, these two ratios are proportional.
Hope this helps you.
Answer:
f(x) = -2|x| + 1
Step-by-step explanation:
The graph shifts one unit up the y axis since there's a value outside the absolute value which directly adds 1 to it.
Answer:
mathematics make our brain fast and sharp
Let the two numbers be x and y.
We have x+y=45
⇒ y= 45-x.
The two numbers multiply and get 121, so we have another equation:
x*y = 121 (1)
Plug y= 45-x in (1), we have:
x* (45-x)=121
⇒ 45x - x^2 = 121 (distributive property)
⇒ x^2 - 45x = -121 (multiply -1 on both sides)
⇒ x^2- 45x + 121= 0
⇒ x= 42.128 or x= 2.872
y= 45- 42.128= 2.872
or y= 45- 2.872= 42.128.
Because it does not matter what number, x or y, is larger, the two numbers are 2.872 and 42.128.
Hope this helps~
