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1 answer:
Sum :
Term : 1, and
Product : and
Factor : 5 and x, 3 and y, 9 and 5x+1
Quotient :
Coefficient : 5 is the coefficient of x and 3 is the coefficient of y.
Explanation:
The expression is
Sum: Sum is the result of addition of terms.
Thus, from the expression,
Sum =
Term : A term is a single number or a variable or a number multiplied with a variable.
Thus, from the expression,
Term = 1, and
Product : Product is the result of multiplication of numbers.
Thus, from the expression,
Product = and
Factor : The numbers that are multiplied is called a factor.
Thus, from the expression,
Factor = 5 and x, 3 and y, 9 and 5x+1
Quotient : Quotient is the result of dividing two numbers or variables.
Thus, the given whole expression is a quotient.
Hence, Quotient =
Coefficient : Coefficient of a variable is a number multiplied with a variable.
Thus, from the expression,
Coefficient : 5 is the coefficient of x and 3 is the coefficient of y.
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Answer:
<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>Step-by-step explanation:
We know
for any real value of <em>a</em>.
|a| = b > 0 - <em>two solutions: </em>a = b or a = -b
|a| = 0 - <em>one solution: a = 0</em>
|a| = b < 0 - <em>no solution</em>
<em />
|x + 6| - 4 = c
for c = 5:
|x + 6| - 4 = 5 <em>add 4 to both sides</em>
|x + 6| = 9 > 0 <em>TWO SOLUTIONS</em>
for c = -10
|x + 6| - 4 = -10 <em>add 4 to both sides</em>
|x + 6| = -6 < 0 <em>NO SOLUTIONS</em>
<em></em>
Calculate the solutions for c = 5:
|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9 <em>subtract 6 from both sides</em>
x = 3 or x = -15