Answer:
-1.5<x<-1.1
Step-by-step explanation:
-3.1+1.85=-1.5
-3.1+(-1.5)=4.6
Answer:
x=46
Step-by-step explanation:
180-88=92
92/2= 46
a:
Just divide both sides by 7. Since 7 is positive, you don't need to change the inequality sign:
In set notation, we write
b:
Subtract 9 from both sides:
In set notation, we write
Answer:
Part 1) Is a cubic expression
Part 2) The quadratic expression is 12x² + 8x − 1
Step-by-step explanation:
Part 1) Classify the expression: 5x³ + 2x − 3
we know that
Polynomials can be classified two different ways - by the number of terms and by their degree.
so
a) <u>By the number of terms</u> is a trinomial, because has three terms
b) <u>By their degree</u> The degree of the polynomial is found by looking at the term with the highest exponent on its variable
The highest exponent is 3 so this is a 3rd degree trinomial
therefore
Is a cubic expression
Part 2) Choose the expression that represents a quadratic expression
we know that
If the expression is a quadratic equation , then the highest exponent of the variable is 2
therefore
The quadratic expression is 12x² + 8x − 1
Answer:
The statement is a tautology.
Step-by-step explanation:
To prove this statement is a tautology we are going to use a truth table. A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
A tautology is a formula which is true for every assignment of truth values to its simple components.
We can see from the table that the last column contains only true values. Therefore, the formula is a tautology.