Answer:
Step-by-step explanation:
Given is a function as 
Equating to 0 we have equation
If the function f(x) has x intercepts then the solutions are real
Let us use remainder theorem and change of signs rule
f(0) = 1>0
f(-1) = -1+3+1=3
f(-2) = -32+6+1<0
This implies there is a real root between -1 and -2.
f(1) = -1
Since f(0) and f(1) have different signs, there exists a real root between 0 and 1.
f(2) = 32-6+1>0
Since f(1) and f(2) have different signs there exists a real root between 1 and 2.
Thus there are definitely three real solutions as
one between -1 and 0, one between 0 and 1, and third between 1 and 2.
The decimal point should be moved 4 places to the right
Answer: Raja needs 150.72 cubic centimeters for each horn.
Step-by-step explanation:
Since the horns that Raja is making are cone shaped, then we would determine the amount of clay she needs by applying the formula for
determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
h represents the height of the cone.
r represents the radius of the cone
π is a constant whose value is 3.14
From the information given,
Height = 16 centimeters
Diameter = 6 centimeters
Radius = diameter/2 = 6/2 = 3 centimeters
Therefore,
Volume = 1/3 × 3.14 × 3² × 16 = 150.72 cubic centimeters
-(-2x-6y=-16)
2x+6y=16
4x-6y=-58
Y's cancel out, then add the rest
6x=-42
divide both sides by six
x=-7
plug x into any previous equation
2(-7)+6y=16
-14+6y=16
6y=30
y=5
Round the numbers then multiply; 190.3003 is rounded to 190 and 198.7 is rounded to 199.
