the sum of two numbers is 61. five times the smaller number is 23 more than the larger. find the numbers
1 answer:
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Answer:
The range is:
{-4, 1, 2, 5, 8}
Step-by-step explanation:
Given the function
- We know that the domain of a function is the set of input or argument values for which the function is real and defined.
As the domain interval -2 ≤ x ≤ 2
i.e. the values in the domain = {-2, -1, 0, 1, 2}
- We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
As the domain interval -2 ≤ x ≤ 2
Putting all the x-values in the domain interval in the function
so
putting x=-2 in the function
putting x=-1 in the function
putting x=0 in the function
putting x=1 in the function
putting x=2 in the function
Thus, when we put the domain values, the corresponding range values are:
x y
-2 -4
-1 1
0 2
1 5
2 8
Therefore, the range is:
{-4, 1, 2, 5, 8}
Solving the system of equations we get x=5 and y=10.5
Step-by-step explanation:
We need to solve the system of equations by substitutions.
The system of equations given are:
Let:
Putting value of y from eq(2) into eq(1)
So, value of x=5
Now putting value of x in eq 1 to find value of y:
So, value of y is 10.5
Solving the system of equations we get x=5 and y=10.5
Keywords: System of equations
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