Hmm,
the absolute value makes whaterver inside positive
so
find whre the abslte value is 0
1.6x-2=0
1.6x=2
x=2/1.6
x=1.25
as x approaches 1.25, the function decreases
so from left to right
from the left to right, from -ifninty to 1.25, it is decreasing
from 1.25 to infinity, it is increasing
so it is increasing in the interval (1.25,∞)
The answer would be Thursday because it is negative for one and two it is the most farthest number away for the most good weather
let's take a peek at the graph.
the graph of the equation touches the x-axis at 1, 2 and 3, at 1 it crosses it, at 2 it crosses it, at 3 is doesn't cross it, it simply bounces off of it.
on the roots/solutions the graph crosses the x-axis, they have ODD multiplicity, on the solutions it bounces off of it, they have EVEN multiplicity, so then.
x = 1 => x - 1 = 0 <------ one factor
x = 2 => x - 2 = 0 <------ another factor
x = 3 => x - 3 = 0 <------ another factor, BUT with even multiplicity
(x-1)¹(x-2)¹(x-3)² = f(x)
(x-1)(x-2)(x-3)² = f(x).
First find the radius of the sphere
V = 4/3 * pi * r^3
Givens
pi but we don't need it's value. We need only know it is on both sides of the equal sign.
V = 972 pi
Formula
V = 4/3 pi r^3
Sub and Solve
972 pi = 4/3 pi r^3 Divide both sides by pi. The 2 pis cancel each other out.
972 = 4/3 R^3 Multiply both sides by 3/4
3/4 * 972= 4/3 * 3/4 * r^3
3/4 * 972 = r^3
729 = r^3
cuberoot(729) = r
Box
r = 9 This is not the answer
d = 2*r
d = 2*9
d = 18
s = d (which is the side of the box
s = 18
V box = 18^3
Vbox = 5832 in^3
Pretty big isn't it?
Answer:
Width = 3 feet
Length = 7 feet
Step-by-step explanation:
x represents the width of doghouse so,
Width = x
Length is 4 times more than its width
Length = x+4
Area of doghouse = 21 square feet
We know
Area of rectangle = Length * Width
21 = (x+4)*x
21 = x^2+4x
=> x^2+4x-21=0
Solving the above quadratic equation by factorization to find the value of x
x^2+7x-3x-21=0
x(x+7)-3(x+7)=0
(x+7)(x-3)=0
x+7 =0 and x-3=0
x= -7 and x =3
Since the width of rectangle can never be negative so, x=3
Width =x = 3 feet
Length = x+4 = 3+4 = 7 feet
