What value of x is in the solution set of 3(x – 4) ≥ 5x 2? A) -10 B) -5 C) 5 D) 10
2 answers:
First, use the distributive property to expand the first equation.
3(x-4)=3*x+3*-4
=3x-12
Then we solve this as if it were an equation
3x-12≥5x+2
Minus 3x is
-12≥2x+2
Minus 2 is
-14≥2x
Which gets us that
(We had to flip the sign because we divided by a negative number).
You'll notice that this matches none of the choices, however, we are looking for the solution set, not the solution. In this case, it means any number that is less than 7. The correct answer is -10.
<em />:)
3(x-4)=3*x+3*-4
=3x-12
Then we solve this as if it were an equation
3x-12≥5x+2
Minus 3x is
-12≥2x+2
Minus 2 is
-14≥2x
Which gets us that
You'll notice that this matches none of the choices, however, we are looking for the solution set, not the solution. In this case, it means any number that is less than 7. The correct answer is -10.
<em />:)
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Step-by-step explanation:
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You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:
Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:
Finally, evaluating, you get that the volume of the box is:
