1.Which is an equivalent form of the equation 3x-3y=15?

Mathematics

2 answers:

defon3 years ago

8 0

1) The given equation is 3x-3y=15

To solve for y we subtract 3x both sides:

3x-3x-3y=-3x+15

-3y=-3x+15

With y term -3 is multiplied .We perform the opposite operation both sides that is divide by -3 both sides we have:

y=x-5

Option A :y=x-5 is the right answer.

2) |2x-1|=3

We can remove the absolute sign by forming equations taking both the positive and negative signs:

2x-1=3 or 2x-1=-3

Solving the two equations for x:

2x=3+1 or 2x=-3+1

2x=4 ,x=2. 2x=-2 , x=-1 .

Option a)x=2 or x=-1 is the right answer.

3) 2< 3x-1 ≤ 5

Adding 1 to all the sides we have:

3<3x≤ 6

Dividing by 3 :

1<x≤ 2.

Lapatulllka [165]3 years ago

8 0

1.Which is an equivalent form of the equation 3x-3y=15?
3Y = 3x - 15
<span>Y = x - 5

</span>2. Solve the absolute value equation.
|2x-1|=3
2x-1 = 3 : 2x - 1 = -3
2x = 4 : 2x = -2
x = 2 : x = -1

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A rectangular prism had a volume of 252 cubic centimeters. The length of the prism is 14 centimeters and the width of the prism

mojhsa [17]

<h2>Answer:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

$V=L\times W\times H$

FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:

$L=14cm \\ \\ W=6cm \\ \\ H=3cm$

In fact, the volume is $252cm^3$ because:

$V=14\times 6\times 3 \therefore V=252cm^3$

Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:

FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:

$L=14cm \\ \\ W=6cm \\ \\ H=6cm$

So the new volume is:

$V=14\times 6\times 6 \therefore V=504cm^3$

<h3><em>What do we know about the volume of the new prism?</em></h3>

<em>Well, the volume has increased from </em> $252cm^3 \ to \ 504cm^3$ <em>and since</em> $504=2\times 252$ <em>we can say that the new volume is two times the original volume.</em>