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Step2247 [10]
3 years ago
13

A cube has a volume of 125 cm3. what is the length, in centimeters, of each side of the cube?

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0
Each side of the cube would be 5.
(5^3 = 125)
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Please match each function formula with the corresponding transformation of the parent function y= -x^2-1
pishuonlain [190]

Answer:

The answer in the attached figure

Step-by-step explanation:

we have the parent function

y=-x^{2}-1

case 1) <u>Reflected across the x-axis</u>

we know that

The rule of the transformation is

(x,y)------> (x,-y)

so

y=-(-x^{2}-1)

y=x^{2}+1

case 2) <u>Reflected across the y-axis</u>

we know that

The rule of the transformation is

(x,y)------> (-x,y)

so

y=-(-x)^{2}-1

y=-x^{2}-1

case 3) Translated left by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x-1,y)

so

y=-(x+1)^{2}-1

case 4) Translated right by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x+1,y)

so

y=-(x-1)^{2}-1

case 5) Translated down by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x,y-1)

so

y=-(x)^{2}-1-1

y=-(x)^{2}-2

case 6) Translated up by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x,y+1)

so

y=-(x)^{2}-1+1

y=-(x)^{2}

8 0
3 years ago
How to add fractions
natta225 [31]
So we always make the denominator (bottom number) the same, then when it’s the same we just add!
7 0
4 years ago
Read 2 more answers
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8 0
3 years ago
Shannon's chair is 20 inches tall. How tall is it in centimeters?
JulsSmile [24]

Answer:

50.8 centimeters

Step-by-step explanation:

So, if Shannon's chair is 20 inches tall, you would multiply that by 2.54 in order to get the length in centimeters.

20 x 2.54 = 50.8.

So Shannon's char is 50.8 centimeters tall.

6 0
4 years ago
You buy x bottles of soda for $1.50 using a gift card that you got as a reward for getting good grades
nadya68 [22]

Answer:

0\leq x \leq 10

Step-by-step explanation:

The function is  f(x)=15-1.50x  where x is the number of bottles of soda.

The domain means the set of "allowed" x values.

Also, f(x) means the amount of money left, which cannot be less than 0. So we put 0 into f(x) and solve for x:

f(x)=15-1.5x\\0=15-1.5x\\1.5x=15\\x=\frac{15}{1.50}\\x=10

This means the highest number of bottles you can buy is 10. So the domain is anything from 0 to 10. <em>You can buy 0 until highest 10 bottles. Hence the domain is </em>

0\leq x \leq 10

4 0
3 years ago
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