Answer:
Option B: 3x(x - 3)(x - 5)
Step-by-step explanation:
The given polynomial is: 3x³ - 24x² + 45x
To factorize it: 3x³ - 24x² + 45x
Since, 3x is common through out we can take it out.
⇒ 3x(x² - 8x + 15)
Now we have to factorize (x² - 8x + 15)
The roots of this quadratic equation is: 5, 3.
Therefore, x² - 8x + 15 = (x - 3)(x - 5)
Combining them, the factors of the polynomial would be:
(B) 3x(x - 3)(x - 5)
Check the picture.
Consider the triangle DAB, with |DA|=9 ft, |AB|=23 ft and m(DAB)=80°.
To find the length of the diagonal, |DB|, we use the cosine law:
Thus, |DB|=
(ft)
Answer: 24.6 ft
Answer:
85 Turkey sandwiches
Step-by-step explanation:
85% of 100 is 85
That means that the remaining 15% or 15 sandwiches that were made were ham.
4(k-2) when it says 2 less than it means you are subtracting from the constant and 4 times means you are multiplying the whole equation with 4.
Answer:
The product of 8 and n decreased by 5 is less than 25
Step-by-step explanation:
An inequality is used to compare two values, showing that one value smaller than, larger than, or not equal to another value. x ≠ y means that x is not equal to y. x < y means that x is less than y and x > y means that x is greater than y.
The inequality 8n - 5 < 25 can be written in statement as the product of 8 and n decreased by 5 is less than 25.
The product of 8 and n (means 8n) decreased by 5 (means 8n - 5) is less than 25 (means 8n - 25 < 25)
