"At least" refers to greater than or equal to (≥).
This is because "at least" means:
- it can't be less than
- it can be equal to
- it can be greater than
This is basically like saying no less than.
If you must have at least 10 oranges for some recipe, then you must have 10 oranges, but you can also have more.
"Twice the difference of a number and 8"
This means that 2 times a number minus 8.
This can be written as 2(w - 8), since w is unknown and it's the difference between w and 8.
The 2 is being multiplied by this because it's 2 times this difference.
"At least 26"
This means ≥ 26.
Now for the actual inequality.
"Twice the difference of a number and 8"
translates to 2(w - 8)
"is at least 26"
translates to ≥ 26
Now put them together.
2(w - 8) ≥ 26
So the answer is 2(w - 8) ≥ 26.
Hope this helps! :)
Answer:
2x - 5 = (1/2)
4x - 10 [multiply by 2]
x - 10 = -13 [subtract 3x from both sides]
x = -3 [add 10 to both sides]
Step-by-step explanation:
So you would add 12 to the other side of the equation, and 9+12=21, so x=21.
<h3>
Answer: D) y+3</h3>
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Explanation:
Point A is located at (3,1). Point A' is located at (-5,4)
To move from A to A', we'll do two things:
- Move 8 units to the left
- Move 3 units up
The "8 units to the left" portion has us go from x to x-8
The "3 units up" part involves y becoming y+3
So that's how we get the translation rule
. The x-8 portion is already filled in for us. The missing part is y+3 which is the final answer (choice D).
Let's try this translation rule on point B to see if we arrive at the proper location of B'
B is at (2,6) which means

which matches up what the diagram shows. I'll let you verify that the rule also works for point C.