A relation is a function if it has only One y-value for each x-value. Functions f(2/3)=2/9 for f(x)=2x²-4x+2 and f(1/4)==-21/4 for f(x)=4x²+2x-6
<h3>What is a function?</h3>
A relation is a function if it has only One y-value for each x-value.
The given function is
f(x)=2x²-4x+2
Put x=2/3
f(2/3)=2(2/3)²-4(2/3)+2
=2(4/9)-8/3+2
=8/9-8/3+2
=(8-24+18)/9
f(2/3)=2/9
Now f(x)=4x²+2x-6
Put x=1/4
f(1/4)=4(1/4)²+2(1/4)-6
=4/16+2/4-6
=1/4+1/2-6
= 1+2-24/4
f(1/4)==-21/4
Hence functions f(2/3)=2/9 for f(x)=2x²-4x+2 and f(1/4)==-21/4 for f(x)=4x²+2x-6
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Answer:
Option B.
Step-by-step explanation:
Integer: A non fractional complete number is known as integer. It can be either positive or negative or zero.
For examples : ...,-3,-2,-1,0,1,2,3,...
It is a clear that the difference between two consecutive integers is 1. It means we have to add 1 in the integer to get the next integer.
We need to express "next integer after the integer n" mathematically. So, we need to add 1 in n.
Required expression
Hence, the next integer after the integer n is n+1.
Therefore, the correct option is B.
Where are the variables for the equation?
Answer:
x = 2
Step-by-step explanation:
5x - 2 = 10 - x
<em>Add x to both sides</em>
6x - 2 = 10
<em>Add 2 to both sides</em>
6x = 12
<em>Divide both sides by 6</em>
x = 2
Answer:
10,93,500.
Step-by-step explanation:
On first February total number of rabbits were 500.
Now it is given that after each month rabbit population will become triple of initial.
So, after one month rabbits will become 3×500.
After two months they will become
×500.
Thus , after m months total number of rabbits will become
×500.
Now,
On August 1 , 7 months will get passed from February 1 so putting m = 7 in the equation we get ,
Total number of rabbits =
×500 = 10,93,500.