Answer:
y- intercept --> Location on graph where input is zero
f(x) < 0 --> Intervals of the domain where the graph is below the x-axis
x- intercept --> Location on graph where output is zero
f(x) > 0 --> Intervals of the domain where the graph is above the x-axis
Step-by-step explanation:
Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.
f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.
X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.
f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.
The radius of the container is 2 centimeter
<h3><u>Solution:</u></h3>
Given that a container of candy is shaped like a cylinder
Given that volume = 125.6 cubic centimeters
Height of conatiner = 10 centimeter
To find: radius of the container
We can use volume of cylinder formula and obatin the radius value
<em><u>The volume of cylinder is given as:</u></em>
Where "r" is the radius of cylinder
"h" is the height of cylinder and 
is constant has value 3.14
Substituting the values in formula, we get
Taking square root on both sides,
Thus the radius of the container is 2 centimeter
Explanation:
To find x we need to find the unknown side that connects the two triangles using the Pythagorean theorem:
a² + b² = c² (c is always hypotenuse)
So:
a² + 6² = 9²
a² = 9² - 6²
a² = 81 - 36
a² = 45
a = sqrt45
Now we do the same thing for the other triangle:
x² + 5² = sqrt45²
x² + 25 = 45
x² = 20
x = 2√5 or 4.5...
Answer:
Step-by-step explanation:
Given inequality:
In order to represent the solution on the number line, we will first solve the given inequality.
We have
Subtracting both sides by 4.
Dividing both sides by -3.
[On dividing both sides by a negative number the sign of the inequality reverses.]
So, solution of this inequality will range from -3 to -∞
The number line is represented below.
