The length of a rectangle is 12 inches more than its width. What is the width of the rectangle if the perimeter is 42 inches?
x best represents .
x + 12 best represents
Answer:
Step-by-step explanation:
Let the quotient be represented by 'Q'.
Given:
The difference of a number 'y' and 16 is 
Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is . So, we divide both these terms to get an expression for 'Q'.
The quotient of 40 and is given as:
Now, we need to find the quotient when 
. Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,
Therefore, the quotient is 10, when the value of 'y' is 20.
Answer:
(x+5)²(x²+5)
Step-by-step explanation:
Given two functions x²+5 and x²+10x+25, to get their Lowest common factor, we need to to first factorize x²+10x+25
On factorising we have:
x²+5x+5x+25
= x(x+5) +5(x+5
= (x+5)(x+5)
= (x+5)²
The LCM can be calculated as thus
| x²+5, (x+5)²
x+5| x²+5, (x+5)
x+5| x²+5, 1
x²+5| 1, 1
The factors of both equation are x+5 × x+5 × x²+5
The LCM will be the product of the three functions i.e
(x+5)²(x²+5)
This hives the required expression.
Plug in -1 for x
h(-1) = 3(-1) + 4
h(-1) = -3 + 4
Solution: h(-1) = 1
