Answer:
Explanation Below
Step-by-step explanation:
1. -4 + | x - 1 | = 3
= -4 + | x - 1 | + 4 = 3 + 4
= | x - 1 | = 7
= x - 1 = -7 or x - 1 = 7
= x = -6 or x = 8
2. 6 + 4 | 2x + 6| = 14
= 6 + 4 | 2x + 6 | - 6 = 14 - 6
= 4 | 2x + 6 | = 8
= 4 | 2x + 6 | / 4 = 8/4
= 2x + 6 = -2 or 2x + 6 = 2
= x = -4 or x = -2
3. -10 + | -6 - x | = 1
= -10 + | -6 + x | + 10 = 1 + 10
= | -6 - x | = 11
= -6 - x = -11 or -6 - x = 11
= x = -17 or x = 5
4. | 7 - 2x | + 4 = 5
= | 7 - 2x | + 4 - 4 = 5 - 4
= | 7 - 2x | = 1
= 7 - 2x = -1 or 7 - 2x = 1
= x = 3 or x = 4
Here are the Steps:
SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
Hopes this Helps :D
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I think that the answers are 4, 4 and 25 respectively
The tank can hold 31.8 gallons of water.
Answer:
Adding the exponents
Step-by-step explanation:
Multiplying exponential terms with the same base
To multiply exponents with same base , we use exponential property
When we multiply exponents with same base then we add the exponents
So, adding the exponents best explains to simplify the expression that has same base with exponents .
Hey!
Let's walk through this together.
Possible Answers: {5, 7, 9, 11, 13}
Let's start with 5.
5-4<8
1<8
So, 5 is CORRECT.
Next, 7.
7-4<8
3<8
So, 7 is CORRECT.
Next, 9.
9-4<8
5<8
So, 9 is CORRECT.
Next, 11.
11-4<8
7<8
So, 11 is CORRECT.
Last, 13.
13-4<8
11<8
So, 13 is INCORRECT.
Your answers are: {5,7,9,11}
So D.
Hope this helps!
<h2><em>
~~~PicklePoppers~~~</em></h2>
