Please help me with the following math question:
1 answer:
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Answer:
x--------------y
4--------------2
8--------------3
12-------------4
Step-by-step explanation:
y = 1/4x + 1
We substitute the values under x into the equation
Equation 1: y = 1/4(4) + 1
Equation 2: y = 1/4(8) + 1
Equation 3: y = 1/4 (12) + 1
Let's solve for equation 1:
Equation 1: y = 1/4(4) + 1
y = 1/4(4) + 1
Multiply number in parenthesis
y = 1/4 * 4/1 + 1
1/4 and 4/1 turn into 1
y = 1 + 1
Add 1 to 1
y = 2
Let's solve for equation 2:
y = 1/4(8) + 1
Multiply number in parenthesis
y = 1/4 * 8/1 + 1
1/4 and 8/1 turn into 2
y = 2 + 1
Add 2 to 1
y = 3
Let's solve for equation 3:
y = 1/4 (12) + 1
Multiply number in parenthesis
y = 1/4 * 12/1 + 1
1/4 and 12/1 turn into 3
y = 3 + 1
Add 3 to 1
y = 4
So the table of values would be:
x--------------y
4--------------2
8--------------3
12-------------4
look at the graph
Having the length of a side(noticed with l), the volume of the cube is equal to:
V = l*l*l
V=l^3
To find the numeric value of l: l =![\sqrt[3]{V}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7BV%7D%20)
In our problem V = <span>256
l = </span>![\sqrt[3]{256} = \sqrt[3]{2^8} = 2^2\sqrt[3]{2^2} = 4 \sqrt[3]{4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B256%7D%20%3D%20%20%5Csqrt%5B3%5D%7B2%5E8%7D%20%3D%20%202%5E2%5Csqrt%5B3%5D%7B2%5E2%7D%20%20%3D%204%20%5Csqrt%5B3%5D%7B4%7D)
V = l*l*l
V=l^3
To find the numeric value of l: l =
In our problem V = <span>256
l = </span>