Functions whose graphs resemble sets of stairsteps are known as step functions.
The most famous of the step functions is the greatest integer function, which is
denoted by:
![f(x)=[x]](https://tex.z-dn.net/?f=f%28x%29%3D%5Bx%5D)
which graph is shown in the Figure below. As you can see from the graph:
![if \ x=-1.8 \ then \ f(-1.8)=[-1.8]=-2](https://tex.z-dn.net/?f=if%20%5C%20x%3D-1.8%20%5C%20then%20%5C%20f%28-1.8%29%3D%5B-1.8%5D%3D-2)
Therefore:
![f(-1.8)=-2[-1.8]+8=-2(-2)+8=\boxed{12}](https://tex.z-dn.net/?f=f%28-1.8%29%3D-2%5B-1.8%5D%2B8%3D-2%28-2%29%2B8%3D%5Cboxed%7B12%7D)
So the right answer is 12
using the pythagorean theorem
a^2+b^2 = c^2 where c is the hypotenuse
9^2 +12^2 = x^2
81 + 144 = x^2
225 = x^2
taking the square root of each side
sqrt(225) = x
15 =x
x = 15 inches
Answer:
4/7 yards
Step-by-step explanation:
Given that :
Required fabric is > 1/2 but < 5/8
Let required fabric = x
Then ;
Converting the fractions to decimal :
1/2 = 0.5 ; 5/8 = 0.625
0.5 < x < 0.625
3/8 yards = 0.375 ;
4/7 yards = 0.571
3/7 yards = 0.429
2/4 yards = 0.5
0.5 < 0.571 < 0.625
From the options, only 4/7 yards satisfies the condition :
Answer:
c) multiply the numerators, multiply the denominators, and then simplify.
Step-by-step explanation:
