There approximately 7133 books in the library;
Data;
- Let the number of total books = x
- Number of fictional books = 3/4x
<h3>Word Problem</h3>
To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.
Let the total number of books be represented by x
The number of fictional books = 3/4x
After 592 fictional books were donated;

Let collect like terms and solve

There approximately 7133 books in the library;
Learn more on word problems here;
brainly.com/question/13818690
Answer: y=2/3x+1
Step-by-step explanation:
y=2/3x-6
y=2/3x+b ==> Parallel to y=2/3x-6 since they both have the same slope
3=2/3 (3)+b
3=2*3/3 +b
3=6/3 +b
3=2+b
b=1
y=2/3x+1
Multiples of 3
: 3, 6, 9, 12, 15, 18, 21, 24, ...
Multiples of 4
: 4, 8, 12, 16, 20, 24, ...
Multiples of 8
: 8, 16, 24, ..
2
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 2424
Method 2: By Prime Factors
1
List the prime factors of each number.
Prime Factors of 3
: 3
Prime Factors of 4
: 2, 2
Prime Factors of 8
: 2, 2, 2
2
Find the union of these primes.
2,2,2,32,2,2,3
3
Multiply these numbers: 2\times 2\times 2\times 3=242×2×2×3=24. This is the LCM.
LCM = 2424
Y=3x-5 and passes through the point 5,10 should be 56
The value of 'k' in the quadratic Equation
having one rational solution is k is 8.
<h3>
What is a Quadratic Equation?</h3>
- Quadratic equations are the polynomial equations of degree 2 in one variable of the type
where a, b, c, ∈ R and a ≠ 0. - The standard form of a quadratic equation is
.
Here, the given equation is 
By comparing the given equation with the standard form of the quadratic equation we get,
a = 4
b = k
c = 4
The given quadratic is having one rational solution, which means 
Therefore,

Therefore, the value of k is 8.
Learn more about the quadratic equation is brainly.com/question/8649555
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