Answer:
Function 2
Step-by-step explanation:
✔️Slope of function 1:
Slope (m) = ∆y/∆x
Using two points on the line, (0, 4) and (1, 9),
Slope (m) = (9 - 4) / (1 - 0)
Slope (m) = 5/1
Slope (m) = 5
✔️Slope of function 2:
Slope (m) = ∆y/∆x
Using the coordinates of any two given pairs form the table, (0, 1) and (1, -3):
Slope (m) = (-3 - 1) / (1 - 0)
Slope (m) = -4/1
Slope (m) = -4
✔️Slope of Function 3:
The function is given in the slope-intercept form, y = mx + b
m = slope
The function y = 2x - 5, therefore has a slope (m) of 2
Slope = 2
✔️Slope of Function 4:
Slope (m) = -1
✅Thus, the functions that has slopes less than -2 are:
Function 2: slope = -4
Function 1, 3, and 4 all have slopes that are greater than -2
Answer:
The number is 270
Step-by-step explanation:
Let the number be 'x'
3/5 of x = 162
Answer:
C. x = 5
Step-by-step explanation:
48 = 7x + 13
-13 -13
35 = 7x
5 = x
Answer:
Step-by-step explanation:
Find the digram attached.
Perimeter of the track = perimeter of the rectangle + perimeter of the 2semicircles
Perimter of a rectangle = 2(x+r) where:
x is the length
2r is the width of the rectangle = diameter of the semicircle
Perimeter of semicircle = 2πr/2 = πr
Perimeter of 2semicirle = 2πr
Perimeter of the track = 2(x+2r) + 2πr
r is the radius if the semicircle
Expand
Perimeter of the track = 2x+4r + 2πr
Perimeter of the track = 2(x+2r+πr)
b) Given P = 2(x+2r+πr), we are to make x the subject of the formula.
P = 2x+4r+2πr
P-4r-2πr = 2x
Divide both sides by 2.
(P-4r-2πr)/2 = 2x
x = (P-4r-2πr)/2
c) Given
P = 600fr
r = 50ft
x = (600-4(50)-2π(50))/2
x = (600-200-100(3.14))/2
x = 400-314/2
x = 86/2
x = 43ft
Hence the value of x to nearest foot is 43ft
