The method of factorization is used to find the roots of a given polynomial. Roots are the solutions of the function. Graphically, these roots are where the curve passes the x-axis. The first step to do is to find the common factor of the equation. That would be x. So you place it outside of the parenthesis.
x³-4x²+45x = x(x² - 4x + 45)
If you solve the quadratic equation inside the parenthesis using the quadratic formula, the roots are imaginary. Therefore, the quadratic equation is already a prime polynomial.
The final answer is x(x² - 4x + 45).
Answer:
3.8 ; 3.79 ; 3
Step-by-step explanation:
Given that:
1 gallon is equal to about 3.785 litres
3.785 to the nearest tenth :
Tenth digit = 7 ; round up 8 to 1 and add to 7
Hence,
3.785 = 3.8 (nearest tenth)
3.785 to the nearest hundredth :
Hundredth digit = 8 ; round up next digit 5 to 1 and add to 8
3.785 = 3.79 ( nearest hundredth)
What is the greatest number of whole liters of water you could pour into a one-gallon container without it overflowing?
The greatest Number of whole liters of water that could be poured into a 1 gallon container without it overflowing is 3 liters because, rounding up 3.785 to the nearest integer of 4 means we will exceed the maximum litres by about 0.215 gallons and hence, cause the container to overflow.
Answer:
7.5 metres
Step-by-step explanation:
The formula for the area of a parallelogram is Area = base x height.
In the problem, you are given the base, which is 9.44 metres, and the area, which is 70.8 square metres.
When you plug everything into our area formula, you should get:
70.8 = 9.44 x height
To solve for height, you would divide both sides by 9.44.
70.8 ÷ 9.44 = height
7.5 = height
Don't forget your units, which is <u>metres</u>!
height = 7.5 metres
Area of the triangle is 112 because the formula for area of a triangle is 0.5•b•h, so .5•16•14= 112
