PLEASE I NEED IT QUICK Mr. Grant sold 12 cars in June, 6 cars in July, and 9 cars in August. He then sold 24 cars in September,
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Answer:
The Local Library sold <u>31</u> hardcover books.
Step-by-step explanation:
Let number of paper back books be 'x'.
Let number of hardcover books be 'y'.
Given:
Total number of books sold = 89
Now Total number of books sold is equal to sum of number of paper back books and number of hardcover books.
framing in equation form we get;
Now Given:
Cost of each paper back books = $2
Cost of each hardcover books = $5
Total Amount raised by library = $271
Now We know that Total Amount raised by library is equal to Cost of each paper back books multiplied by number of paper back books plus Cost of each hardcover books multiplied number of hardcover books.
framing in equation form we get;
Now Multiplying equation 1 by 2 we get;
Now Subtracting equation 3 from equation 2 we get;
Substituting the value of y in equation 1 we get;
Hence The Local Library sold 58 paper back books and <u>31</u> hardcover books.
One to one or injective means that each x in the domain maps to a unique y, i.e. the function preserves distinction.
y=(x-1)/(3x+3) is one to one. We can solve for x:
3xy + 3y = x - 1
3y + 1 = x - 3xy = x(1-3y)
x = (3y+1)/(1-3y)
That proves it's one-to-one; for each y we get one x.
That's also one to one,
That's the proof.
That's Not one-to-one
because f(-x)=f(x). We only need a single counterexample; f(1)=7/4, f(-1)=7/4
That's one-to-one, textbook case
That's not one-to-one because the fourth power dominates so this will be sort of parabola-ish, repeating the same big positive values for a negative and positive x.
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