Answer:
Giorgio
Step-by-step explanation:
Answer:
Factored form is
f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))
Step-by-step explanation:
Given that
f(x)=x3−7x2+2x+4
To solve for x we factorise the right side
f(x)=x3−7x2+2x+4
Let us substitute x for various values to check whether remainder is zero.
i.e. f(1) = 1-7+2+4 =0
Hence x-1 is a factor
Do synthetic division to find the quotient
1 1 -7 2 4
1 -6 -4
----------------------
1 -6 -4 0
i.e. we get remainder 0 and quotient as
x^2-6x-4
Use completion of squares method to solve this
x^2-6x-4
= (x-3)^2+5=0
x-3= ±√(-5)
Or x=1,3+√(-5,) 3-√(-5,)
Are the roots
Factored form is
f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))
To find the volume of a box-shaped fish trap, we have to multiply the three dimensions of it:
(1/4 m)* (2/3 m)* (3/5 m)
= (1*2*3)/ (4*3*5) m^(3)
= 6/ 60 m^(3)
= 1/10 m^(3)
= 0.1 m^(3)
The volume of the box-shaped fish trap is 0.1 m^(3).
Hope this is helpful~
Answer:
2nd Option
Step-by-step explanation:
Hello!
First, let's solve the inequality for x.
<h3>Solve for x</h3>
Since the symbol is less than or equal to, it will be a closed circle on Point -8 going in the left direction (all values less than -8).
The answer is the Second Number Line.
The greatest common factor of 32x^-2y^2 is 2 (there is o common variable and both 32 and 2 divide by 2)
Thus, divide each term by 2
32x^2/2 = 16x^2
-2y^2 = -1y^2 = -y^2
Thus, your answer is
2(16x^2-y^2)
