Question

4x + 5x + 12 = -6 (given)
9x + 12 = -6 (simplify)
9x = -18 (subtraction)
x = -2 (addition)

Which reason is incorrect?
Responses
A additionaddition
B givengiven
C simplifysimplify
D subtraction

Answer 1

bro i got it wrong

Answer 2

Step 1: 4x + 5 < 6x + 1 (Given)
Step 2: −2x + 5 < 1 (Subtraction)
Step 3: −2x < 6 (Addition)
Step 4: x > −3 (Division)

Mia is trying to find her mistake in the problem shown. In which step did she first make a mistake?
Responses
A Step 1Step 1
B Step 2Step 2
C Step 3Step 3
D Step 4

Answer 3

are u sure

Answer 4

How many solutions does this equation have?

2+6x2
= 3x + 3

Answer 5

How many solutions does this equation have?

2+6x2= 3x + 3

Answer 6

Solving the equation 6x + 2(x − 1) = 30

Given: 6x + 2(x − 1) = 30
Step 1: 6x + 2x − 2 = 30
Step 2: 8x − 2 = 30
Step 3: 8x − 2 + 2 = 30 + 2
Step 4: 8x8
= 328

Step 5: x = 4
Question 1
Identify the property that justifies Step 1 when solving the given equation.
Responses
A Distributive PropertyDistributive Property
B Substitution PropertySubstitution Property
C Symmetric PropertySymmetric Property
D Multiplication PropertyMultiplication Property
Question 2
Identify the property that justifies Step 2 when solving the given equation.
Responses
A Reflexive PropertyReflexive Property
B Substitution PropertySubstitution Property
C Symmetric PropertySymmetric Property
D Multiplication PropertyMultiplication Property

Answer 7

Solve: 3(2x - 5) = 6x - 15
Responses
A 00
B 11
C 2020
D no solutionno solution
E infinitely many solutions

Answer 8

B givengiven

Answer 9

I apologize for the mistake. The reason that is incorrect is D - subtraction. The equation should be 9x = -18 after simplifying, and to solve for x, we need to divide both sides of the equation by 9, not subtract. Therefore, the correct reason should be division.

Answer 10

The correct answer would be D - Step 4.

Answer 11

I apologize for the confusion. Upon reviewing the steps, I realize that my previous response was incorrect. The correct answer is actually B - Step 2. Mia made a mistake in subtracting 6x from both sides in Step 2.

Answer 12

The equation you provided doesn't seem to be formatted correctly. Could you please double-check or provide more information?

Answer 13

To determine the number of solutions for the equation 2 + 6x^2 = 3x + 3, we need to simplify the equation and see if it has a unique solution, infinite solutions, or no solution.

First, let's simplify the equation:

2 + 6x^2 = 3x + 3
Rearranging the equation:
6x^2 - 3x = 3 - 2
6x^2 - 3x = 1
Dividing by 3:
2x^2 - x = 1/3

Now, we have a quadratic equation in standard form: 2x^2 - x - 1/3 = 0

Using the quadratic formula, x = (-b ± √(b^2 - 4ac))/(2a), where a, b, c are coefficients of the quadratic equation, we can determine the solutions.

In this case, a = 2, b = -1, c = -1/3.

Plugging these values into the quadratic formula, we have:

x = (-(-1) ± √((-1)^2 - 4*2*(-1/3)))/(2*2)
x = (1 ± √(1 + 8/3))/(4)
x = (1 ± √(11/3))/(4)

Since the expression inside the square root (√(11/3)) is positive, we have two real solutions for x.

Therefore, the equation has 2 solutions.

Answer 14

Question 1: The property that justifies Step 1 is A - Distributive Property.

Question 2: The property that justifies Step 2 is B - Substitution Property.

Answer 15

Let's solve the equation step by step:

3(2x - 5) = 6x - 15

Step 1: Distribute the 3 on the left side of the equation:
6x - 15 = 6x - 15

Step 2: Simplify both sides of the equation:
6x - 15 = 6x - 15

Step 3: Subtract 6x from both sides of the equation:
-15 = -15

Step 4: Subtract -15 from both sides of the equation:
0 = 0

The variable x has been eliminated from the equation, and we are left with a true statement: 0 = 0.

This means that the equation is an identity and holds true for all values of x. Therefore, the solution is E - infinitely many solutions.