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
Let's solve your equation step-by-step.
5=(−4)(8)+b
Step 1: Simplify both sides of the equation.
5=(−4)(8)+b
5=−32+b
5=b−32
Step 2: Flip the equation.
b−32=5
Step 3: Add 32 to both sides.
b−32+32=5+32
b=37
You need to estimate the square root of 200 ft². Rewrite 200 as 2 x 100, then square root of (2*100) is:
10*sqrt(2). The sqrt(2) = 1.414, so the length of each side of the square will be 10*1.414 = 14.14 ft or about 14 ft.
The answer is definitely 60%
Answer:
x = -8
Step-by-step explanation:
5(x - 1) = -45
5x - 5 = -45
add 5 to each side of the equation:
5x = -40
divide both sides by 5:
x = -8
