Describe the end behavior of each polynomial.
(a)
y = x3 − 6x2 + 5x − 18

End behavior: y → as x → ∞
y → as x → −∞

(b)
y = −5x4 + 14x + 100

End behavior: y → as x → ∞
y → as x → -∞

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)

we are given scale of 2 units.

on graph paper the space is 2.5 cm.

length of glass = 8 units.

8 units = 2 units +2 units +2 units +2 units.

each 2 unit is = 2.5cm.

therefore,

8 units = 2 units +2 units +2 units +2 units = 2.5+2.5+2.5+2.5= 10cm.

option c is correct.

step-by-step explanation:

the rule regarding the sides of triangle is:

(length of longest side)^2 = square of sum of other two sides.

the sides given are:

6, 10 and 8.

applying the rule we will get:

(10)^2 = (6)^2 + (8)^2

100 = 36+64

100 = 100

so, her answer is incorrect.

no, she should have added 6^2 and 8^2 and compared that to 10^2.

so, option c is correct.