Answer:
small number = -3
large number = 12
Step-by-step explanation:
Suppose two numbers are x and y
smaller number = x
larger number = y
Given that,
The difference of two numbers is 15
<h2>Equation 1</h2><h3>y - x = 15</h3>
Five times the smaller is the same as 9 less than twice the larger.
<h2>Equation 2</h2><h3>5x = 9 - 2y</h3>
Solve them
-x = 15 - y
x = y -15
put value of x in equation 2
5(y - 15) = 9 - 2y
-75 + 5y = 9 - 2y
-75 - 9 = -2y - 5y
-84 = -7y
y = 84/7
y = 12
x = 12 - 15
x = -3
The value of c, the constant of the function y = ax² + bx + c, exists -3.
<h3>What is an equation?</h3>
An equation exists as an expression that indicates the relationship between two or more numbers and variables.
Given that: y = ax² + bx + c
At point (4, 21)
21 = a(4²) + 4b + c .......(1)
At point (5, 32)
32 = a(5²) + 5b + c .........(2)
At points (6, 45)
45 = a(6²) + 6b + c .......(3)
Therefore, the value of a = 1, b = 2 and c = -3.
The value of c, the constant of the function y = ax² + bx + c, exists -3.
To learn more about equations refer to:
brainly.com/question/2972832
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