Hey there!
Our goal here is to isolate the variable, x. In order to do this following the dividing and algebraic property of equality (which states that the equation remains equal if you do the same thing to both sides) , we must divide both sides by the coefficient of x, -6. That gives us:
-6x/-6 ≥ 30/-6
Now, normally, we'd just complete this division - and we'd have our answer. But according to the rules of inequalities, when you multiply or divide by a negative number, the sign flips.<span>
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Thus, our answer is:
x ≤ - 5, or D.
Hope this helps!
Answer:
-30%
Step-by-step explanation:
currently, the perimeter is: 4 + 6 + 4 + 6 = 20 in.
when the width of 4 in is decreased by 3 in, the new width become (4-3) in = 1 in
therefore, the new perimeter is: 1 + 6 + 1 + 6 = 14 in
the change in perimeter is: 20 in - 14 in = 6 in
now, the percent of change in perimeter will be:
%
BUT because this change is a DECREASE, you have to put a NEGATIVE sign before the value to inducate that it's a decrease, so
change in perimeter = -30%
Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5
Step-by-step explanation:
We need to pick the expression that matches this description:
A trinomial with a leading coefficient of 3 and a constant term of -5
First lets explain the terms:
Trinomial: a polynomial having 3 terms
Leading coefficient: The constant value of variable having highest power
Constant term: Having no variable and value cannot be changed.
Now using these definitions, we can choose the correct option
Option A is incorrect because the expression has 2 terms
Option B is incorrect because it is a trinomial but the leading coefficient is -5 and not 3 constant term is 3 and not -5.
Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5
Option D is incorrect because it is a trinomial but the leading coefficient is 3 but constant term is 1 and not -5.
So, Option C is correct.
Keywords: Algebra
Learn more about Algebra at:
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Answer:
21
Step-by-step explanation:
In the flour row it is 4.5 and in the sugar row it is 18. Hope this helps :)