The inequality representing the statement "The quotient of the sum of 3 and a number and 6 is less than -2" is \(x < -15\), indicating that any number less than -15 satisfies the condition.
Let's translate the given statement into an inequality.
"The quotient of the sum of 3 and a number and 6 is less than -2."
Let "x" represent the unknown number.
The sum of 3 and a number is 3 + x.
The quotient of that sum and 6 is .
Now, we can write the inequality:
To solve for "x," we can multiply both sides of the inequality by 6 to get rid of the fraction:
3 + x < -12
Now, subtract 3 from both sides to isolate "x":
x < -12 - 3
x < -15
So, the inequality representing the given statement is x < -15. This means that any number lessthan -15 will make the quotient less than -2.
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Answer:
A. The leading coefficients of f(x) and g(x) are opposite
Step-by-step explanation:
y=−2x+2
These are the last two steps of his work.
6x−6x+6=6
6=6
Which statement about this linear system must be true?
a) x must equal 6
b) y must equal 6
c) there is no solution to this system
d) there are infinitely many solutions to this system
Answer:
Given the equation: .....[1]
Cross multiply states that an equation of fractions when each of the side consists of a fraction with a single denominator by multiplying the numerator of each side by the denominator of the other side and equating these two products obtained.
Apply the cross multiply in [1], we get;
Divide both sides by M we get;
or