Answer: x = 5/2 = 2.5
Step-by-step explanation:
<u>Given expression</u>
2x (x + 3) = 2x² + 15
<u>Expand parentheses and apply the distributive property</u>
2x · x + 2x · 3 = 2x² + 15
2x² + 6x = 2x² + 15
<u>Subtract 2x² on both sides</u>
2x² + 6x - 2x² = 2x² + 15 - 2x²
6x = 15
<u>Divide 6 on both sides</u>
6x / 6 = 15 / 6
x = 15/6

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The volume of cube and rectangular prism are same. Option B.
Step-by-step explanation:
Given,
The length of the edge of the cube (a) = 5 cm
The dimension of rectangular prism (l×b×h) = 5 cm×25 cm×1 cm
To find the relation between the volume of cube and rectangular prism.
Formula
The volume of a cube = a³ cube cm
The volume of rectangular prism = l×b×h cube cm
Now,
The volume of a cube = 5³ cube cm = 125 cube cm
The volume of rectangular prism = 5×25×1 cube cm = 125 cube cm
Hence,
The volume of cube and rectangular prism are same.
Answer: Fourth option.
Step-by-step explanation:
By definition, a relationship is a function if and only if each input value (or each x-value) has only one output value (or y-value).
Given the first table:

You can notice that the input values 2 and 3 do not have only one output value. Therefore, this table does not represent a function.
The second table is:

You can notice that the input values 4 and -4 do not have only one output value. Therefore, this table does not represent a function.
The third table is:

You can notice that the input values 6 and 7 do not have only one output value. Therefore, this table does not represent a function.
The fourth table is:

You can notice that each input value has only one output value. Therefore, this table represents a function.