If n represents a number, then write an expression for the difference of three times the number after it was increased by 3 and
1 answer:
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Answer:
y = x²/4 + x/2 + 21/4 ⇒ -9 ≤ x ≤ 7
Step-by-step explanation:
∵ x = 2t - 1
∴ 2t = x + 1 ⇒ t = (x + 1)/2
∵ y = t² + 5
∴ y = [(x + 1)/2]² + 5 = (x² + 2x + 1)/4 + 5
y = x²/4 + x/2 + 1/4 + 5 = x²/4 + x/2 + 21/4
∵ -4 ≤ t ≤ 4
∴ -9 ≤ x ≤ 7
The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,
<h3>How to write algebraic equation from statement? </h3>
Algebraic equation are the expression which consist the variables, coefficients of variables and constants.
The algebraic equation are used represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic equation from statement-
- Identify all the factors of the expression.
- Assume a variable for the changing values.
- Put a coefficient for the variable, if there is any rate of change of variable.
- Use constant numbers for the fixed values.
Given information-
The given statement is 'sixteen is the same as one and two-tenths times a number added to negative 8'.
The statement given in the problem is talking about a unknown number. Let the unknown number is .
The number is sixteen is the same as one and two-tenths times a number added to negative 8.
This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,
Thus the equation can be used to represent the given statement is,
Learn more about the algebraic expression here;