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alexandr1967 [171]
3 years ago
11

Ryan $65 for n books. Write an expression that can be used to find the cost of one book.

Mathematics
1 answer:
eimsori [14]3 years ago
5 0

Answer:

x=65/n where x is 1 book and n the number of books

Step-by-step explanation:

If n is the number of books, lets say 1 book is "x", then

nx=65

x=65/n

for example

n=1    then x=65

n=2 then x=65/2

n=3 then x=65/3

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Answer:

(q+\frac{11}{2})^2-\frac{121}{4}

Step-by-step explanation:

We have been given an expression q^2+11q. We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

We know that a perfect square trinomial is in form a^2+2ab+b^2.

To convert our given expression into perfect square trinomial, we need to add and subtract (\frac{b}{2})^2 from our given expression.

We can see that value of b is 11, so we need to add and subtract (\frac{11}{2})^2 to our expression as:

q^2+11q+(\frac{11}{2})^2-(\frac{11}{2})^2

Upon comparing our expression with (a+b)^2=a^2+2ab+b^2, we can see that a=q, 2ab=11q and b=\frac{11}{2}.

Upon simplifying our expression, we will get:

(q+\frac{11}{2})^2-\frac{11^2}{2^2}

(q+\frac{11}{2})^2-\frac{121}{4}

Therefore, our perfect square would be (q+\frac{11}{2})^2-\frac{121}{4}.

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