Which graph represents the function f(x)=4[x]?

Check the picture below.

bearing in mind that ⌈some expression⌉ means "ceil" or the ceil() function, which means any number in between one integer and the next, "ceils" or gets bumped up to the next integer.

namely for example, for y = ⌈x⌉ will yield

y(0.5) = 1

y(0.7) = 1

y(0.0000001) = 1

y(3.0000001) = 4

y(-2.000001) = -2

y(-5.00001) = -5

and so on

the same is true btw for the y = ⌊x⌋ or the "floor" floor() function, but it "floors" or drops down instead.

y(0.5) = 0

y(3.9999999) = 3

y(-5.0000001) = -6

and so on.

in this case is y = 4⌈x⌉, so any values in between each integer for "x" gets bumped up.

49%

step-by-step explanation:

when you realize that you dont know just realize i just took a test and im so smart

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240