My teacher split c pieces of candy among 23 students. Writing Expressions with answers please.

The graph of g(x) is obtained by reflecting the graph of f(x)=2|x| over the x-axis.

Lera25 [3.4K]

Answer: Choice C)
g(x) = -|2x|

You get this answer by simply sticking a negative out front of the original function. In other words, g(x) = -f(x) or more technically, g(x) = -1*f(x).

The negative will flip every y coordinate from positive to negative (or vice versa)

You'll also use the idea that |2x| = 2|x|. The two can be pulled out since we can say |x*y| = |x|*|y|
So |2*x| = |2|*|x| = 2|x|

4 0

3 years ago

0=(x+2) squared minus 25

hichkok12 [17]

Answer:

x=3

Step-by-step explanation:

0=(x+2)^2-25

+25 +25

25=(x+2)^2

Square root both sides to get:

5=x+2

-2 -2

3=x

8 0

1 year ago

Read 2 more answers

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Oliga [24]

Answer:

Part A)

The height of the water level in the rectangular vessel is 2 centimeters.

Part B)

4000 cubic centimeters or 4 liters of water.

Step-by-step explanation:

We are given a cubical vessel that has side lengths of 10cm. The vessel is completely filled with water.

Therefore, the total volume of water in the cubical vessel is:

$V_{C}=(10)^3=1000\text{ cm}^3$

This volume is poured into a rectangular vessel that has a length of 25cm, breadth of 20cm, and a height of 10cm.

Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:

$V_R=h(25)(20)=500h\text{ cm}^3$

Since the cubical vessel has 1000 cubic centimeters of water, this means that when we pour the water from the cubical vessel into the rectangular vessel, the volume of the rectangular vessel will also be 1000 cubic centimeters. Hence:

$500h=1000$

Therefore:

$h=2$

So, the height of the water level in the rectangular vessel is 2 centimeters.

To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.

The maximum value of the rectangular vessel is given by :

$A_{R_M}=20(25)(10)=5000 \text{ cm}^3$

Since we already have 1000 cubic centimeters of water in the vessel, this means that in order to fill the rectangular vessel, we will need an additional:

$(5000-1000)\text{ cm}^3=4000\text{ cm}^3$

Sincer 1000 cubic centimeters is 1 liter, this means that we will need four more liters of water in order to fill the rectangular vessel.

3 0

3 years ago

Read 2 more answers

0.34 into a percent

vivado [14]

34% is the correct answer

3 0

3 years ago

Read 2 more answers

Round to the nearest given place. 1.80431 thousandths

rodikova [14]

In order to round a number to the nearest thousandths, we have to check the number in the ten thousandths place:
1- If the number in the ten thousandths is less than 5, then the thousandths number will remain the same and all numbers after it will be converted to zeroes.
2- If the number in the ten thousandths is equal to or greater than 5, then the thousandths number will be incremented by 1 and all numbers after it will be converted to zeroes.

Applying this to the given number:
1.80431
The number in the ten thousandths position is 3 which is less than 5.
Therefore, rounding 1.80431 to the nearest thousandths will be:
1.80400 which is equivalent to 1.804

5 0

2 years ago