Domain: set of all numbers that can be inputted into a function
Since you cannot take the square root of a negative number, this means that x-4 CANNOT be negative. So it's either 0 or it's positive.
So..
<span>x−4≥0
</span>x−4+4≥0+<span>4
</span>x≥<span>4
</span>So this says: "Any number greater than or equal to 4 will result in x-4 being either 0 or some positive number"
So this means that the domain is
<span>{x|x≥4}
</span>This basically says: "the domain is the set of all numbers x such that x is greater than or equal to 4"
In interval notation, the domain is <span>[4,∞)
</span>The range is the set of all possible outputs. We can find the most extreme point of the range by plugging in the most extreme value for the domain
<span>
sqrt(x-4) = </span>sqrt(4-4) = <span>sqrt(0) = 0
</span>So the smallest possible output is y=0, which means that the range is
<span>{y|y≥0<span>}
</span></span>
This basically says: "the range is the set of all numbers y such that y is greater than or equal to 0"
In interval notation, the range is
<span>[0,∞)</span>
Answer:
its gonna be the third option
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
using the theorem of Pythagoras
<em>x</em><em> </em><em>=</em><em> </em><em>sqrt</em><em>*</em><em> </em><em>1</em><em>9</em><em>.</em><em>6</em><em> </em><em>^</em><em>2</em><em> </em><em>-</em><em> </em><em>1</em><em>5</em><em>.</em><em>4</em><em>^</em><em>2</em><em>*</em>
<em>x</em><em> </em><em>=</em><em> </em><em>7</em><em>×</em><em> </em><em>sqrt</em><em>*</em><em> </em><em>3</em><em>*</em>
<em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em><em>.</em><em>1</em><em> </em><em>units</em><em> </em>
One equation that could be used would be t = 25-12
Answer:
Part 3: 9 Dogs
Step-by-step explanation:
It says that the ratio they want you to put it in is dogs/students, so dogs are x, and students are y, so if there are 4 students for every dog, 36 students would require 9 dogs
And if the roles were switched it would be students x, dogs y, and there would be 9 students for 36 dogs :D