√2 is irrational because let's suppose √2 is a rational number. Then, we write
√2=a/b where a and b are whole number, b≠0
From the equality √2=a/b, it follows that 2= a²/b²( Make all of them to the second power), or a²=2×b²
Then, a is 2 times some other whole number. In symbols, a=2k where k is this other number
If we substitute a=2k into the original equation 2=a²/b², this is what we get:
2=(2k)²/b²
2=4k²/b²
2b²=4k²
b²=2k². This means that b² is even, from which follows again that b itself is we . And that is contradiction, and thus our original assumption (that √2 is rational). Therefore, √2 can not be rational
√2=1.41421356237..
√2=1.4( rounded to the nearest tenth). Hope it help!
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/(x2-x1), we have points (-3,6) and (9,-5)
m=(-5-6)/(9-(-3))
m=-11/12 so now we have
y=-11x/12+b, using point (9,-5) we can solve for b
-5=-11(9)/12+b
-5=-99/12+b
b=39/12
y=(-11x+39)/12
That is the line, m=-11/12 and b=39/12 or as a decimal b=3.25. You had b so not sure what the problem is. Though the question in the picture asks what the line is. The line is
y=-11x/12+13/4 so maybe they want the entire function instead of entering what b is.
Answer:
? = 16
Step-by-step explanation:
x2 - 8x + ? = 42 + ?
1. Take the coefficient of the middle term 8x, which is 8 and divide it by 2. . Then square it
2. Take 16 and add it to both sides:
2. Take half of the coefficient 8 that you divided by 2, which is 4 and insert 4 into the equation
3. ? = 16
As ordered pairs ( g , C ) where g is the number of games and C is the cost
( 5, 20.50) and ( 9, 28.50)
the slope M = ( 28.50 - 20.50 ) / (9-5)
= 8/4
= 2
So the slope M=$2 per game
Using (5, 20.50)
The intercept B = y - m* g
= 20.50 - 2 * 5
= 20.50 - 10
= 10.50
So the fixed base cost, or FLAT RATE is $10.50.
That is if they played ZER0 games, they still have
to pay $10.50 just to get in.
The linear function is C (g) = 2*g + 10.50