What is the absolute value of -| 6?

What is the absolute value of -| 6?

The absolute value is defined as the distance from a number to 0 , and so it is always positive. So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6 .

What is the absolute value of a 5 if A is greater than 5?

Since, a is greater than 5, so a-5 will be always greater than 0.

What is the negative of 13?

Step-by-step explanation: Negative of -13 is -13 itself.

How do you solve absolute value equations?

SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)

1. Step 1: Isolate the absolute value expression.
2. Step2: Set the quantity inside the absolute value notation equal to + and – the quantity on the other side of the equation.
3. Step 3: Solve for the unknown in both equations.
4. Step 4: Check your answer analytically or graphically.

Why do some absolute value equations have one solution?

In the case of only one solution, you end up with an absolute value expression equal to zero. Since this means that the distance from zero on the number line is zero, you end up with only one equation.

How do you solve absolute value equations with no solution?

Recall that an absolute value expression can never be less than zero. That is, a fully reduced absolute value expression must be greater than or equal to zero. If you’ve simplified an absolute value equation and the value on the other side of the equals sign is a negative number, the equation has no solution.

What is common for the equations that have no solution?

Explanation: When finding how many solutions an equation has you need to look at the constants and coefficients. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.

How do you tell if a system of equations has no solution or infinitely many?

A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel. Infinite solutions.

Which equations has only one solution?

An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.

Is 0 0 infinite or no solution?

For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . Here is a problem that has an infinite number of solutions. If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.

How many solutions does the pair of equations y 0 and y =- 5 have?

question_answer Answers(2) Hence they do not have solution. Solution: Y= 0 is the equation of x axis and y = -5 is the line which is parallel to x axis. It has no solutions since the given equations are parallel .

Which equation has no solution 4x 2 =- 6?

Answer: Option A) |4x – 2| = – 6 has no solution. Since left hand side of function is in modulus, so it will always gives positive values but right hand side is – 6 , So, there are no values of x that make the equation true.

Which equation shows the quadratic formula used correctly?

Answer: Choice a is correct answer. we have to solve it by finding the value of x. ax²+bx+c = 0 is general quadratic equation.

Which statement is true the equation 3 2x 1.2 1 has no solution?

Answer Expert Verified The correct answer is: The equation –0.3|3 + 8x| = 0.9 has no solution.

Why did Josefina stop at step 3?

Why did Josefina stop at Step 3? Absolute values cannot equal a negative number. This equation has no solution.

Why are there two solutions for the equation 6 y 2 explain?

There are two solutions for |6+y|=2, -8 and -4. This is because |6+(-8)| and |6+(-4)| both equal 2. The absolute value is the distance to zero on a number line. If one were to graph the equation there would be a line with two different directions to determine distance from 0.

How do you know if an equation has two solutions?

From the mathematical standpoint, two or more answers just means that there is more than one value for the variable that will solve the equation. So if you have an equation like x^2 + 5x + 6 = 0, it can have two solutions.

Why do absolute value equations have 2 solutions?

Has two solutions x = a and x = -a because both numbers are at the distance a from 0. You begin by making it into two separate equations and then solving them separately. An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.

Can a quadratic equation have more than 2 solutions?

It’s clear that a system of two quadratic equations can have none, one or two solutions. For example: y=x2+2 and y=−x2+1 have none. y=x2, 2×2−8x+8 and y=−x2+8x−8 have 4 as common solution.

What are the 3 types of quadratic equations?

Here are the three forms a quadratic equation should be written in:

• 1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.
• 2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.
• 3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.

Can a quadratic have 3 solutions?

Therefore, our assumption that a quadratic equation has three distinct real roots is wrong. Hence, every quadratic equation cannot have more than 2 roots. Note: If a condition in the form of a quadratic equation is satisfied by more than two values of the unknown then the condition represents an identity.

Why do some quadratic equations have no solutions?

If the discriminant is less than 0, the equation has no real solution. Looking at the graph of a quadratic equation, if the parabola does not cross or intersect the x-axis, then the equation has no real solution. And no real solution does not mean that there is no solution, but that the solutions are not real numbers.

What are the 7 factoring techniques?

The following factoring methods will be used in this lesson:

• Factoring out the GCF.
• The sum-product pattern.
• The grouping method.
• The perfect square trinomial pattern.
• The difference of squares pattern.

How do you tell if a function has no real zeros?

If the discriminant of a quadratic function is less than zero, that function has no real roots, and the parabola it represents does not intersect the x-axis.