-- DEC is a right triangle.
-- DC is one side of the square = 10 cm
-- EC is half the side of the square = 5 cm
-- DE is the hypotenuse = square root of (5² + 10²) = √(125 cm²) .
<em>-- Truncated</em> to one decimal place, that's 11.1 cm.
<em>-- Rounded</em> to one decimal place, it's 11.2 cm.
Answer:
f(x) = (2/3)x + 4
Step-by-step explanation:
An equation in function is found by isolating y, and changing "y" to "f(x)".
Isolate y by moving everything else to the other side
What is done to one side must be done to the other
6y - 4x = 24
6y - 4x + 4x = 24 + 4x (add 4x to both sides. -4x +4x cancels out)
6y = 24 + 4x
6y/6 = 24/6 + 4x/6 (divide both sides by 6)
y = 4 + (2/3)x (simplify)
y = (2/3)x + 4 (rearrange to a familiar format "y=mx+b")
f(x) = (2/3)x + 4 (replace y with f(x))
Answer:
what I got was 24438.9cm³
The domain is the set of allowed x inputs, or x coordinates of a function. In this case, any point on the curve has an x coordinate that is 4 or smaller.
Therefore, the domain is the set of numbers x such that 
To write this in interval notation, we would write ![(-\infty, 4]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%204%5D)
This interval starts at negative infinity and stops at 4. We exclude infinity with the curved parenthesis and include 4 with the square bracket.
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The range is the set of possible y outputs. Every point on this curve has a y coordinate that is either 0 or it is larger than 0.
The range is the set of y values such that 
In interval notation, it would be written as 
This time we start at 0 (including this endpoint) and "stop" at infinity
note: we always use curved parenthesis at positive or negative infinity because we cannot reach either infinity
