Answer:
110
Step-by-step explanation:
Volume= length times width times height
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))
The two number are 39 and 13
<em><u>Solution:</u></em>
Let the two numbers be "a" and "b"
Let the larger number be "a" and the smaller number be "b"
<em><u>Given that, sum of two numbers is 52</u></em>
a + b = 52 ---------- eqn 1
<em><u>One number is 3 times as large as the other number</u></em>
Larger number = 3 times smaller number
a = 3b -------- eqn 2
<em><u>Let us solve eqn 1and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
3b + b = 52
4b = 52
b = 13
<em><u>Substitute b = 13 in eqn 2</u></em>
a = 3(13)
a = 39
Thus the two number are 39 and 13
One answer could be, 2 4/6 and 3 2/6
