Answer:
-9, -4, 1, |-2|, |-3|, |-5|, |-6|
Step-by-step explanation:
Absolute value | | makes the number positive
In order to easily discern which graph is a proper representation of 6x + 4y = 8, you first need to convert the equation to y = mx+ b, also known as slope-intercept form. Here's how you can do this:
6x + 4y = 8
4y = -6x + 8
y = -1.5x + 2
The +2 tells you that your line will intercept the vertical y-axis at (0, 2). This narrows it down to graphs a and d. Then, because you have a NEGATIVE number in front of your x (it's -1.5), you can tell that your graph will be going down as it moves from left to right. This leaves you with graph d as your answer!
Answer:
1: 1/8
2: 1 1/8
3: 7/12
Step-by-step explanation:
Answer:
x = ¹⁰⁄₄,⁵⁄₂, or 2.5
Step-by-step explanation:
Given: 13 - 2(2x + 1) = 1
1. Distribute -2 through the parentheses:
⇒ 13 - 2(2x + 1) = 1
⇒ 13 + (-2)(2x) + (-2)(1) = 1
13 - 4x - 2 = 1
2. Combine like terms:
⇒ 13 - 4x - 2 = 1
⟹ 11 - 4x = 1
3. Subtract 11 from both sides:
⇒ 11 - 11 - 4x = 1 - 11
⟹ -4x = -10
4. Divide both sides by -4:
⇒ -4x ÷ -4 = -10 ÷ -4
⟹ x = ¹⁰⁄₄,⁵⁄₂, or 2.5
5. Check your work:
⇒ 13 - 2(2x + 1) = 1
⇒ 13 - 2(2(2.5) + 1) = 1
⇒ 13 - 2(5 + 1) = 1
⇒ 13 - 2(6) = 1
⇒ 13 - 12 = 1
⟹ 1 = 1 ✔
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Answer:
x = 0
Step-by-step explanation:
the origin
