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.
Answer:
x=3
Step-by-step explanation:
<span>Cylinder Volume = </span><span>π <span>• r² • height
height = </span></span><span>Cylinder Volume / (PI * radius^2)
</span><span>height = 500 cubic inches / 3.14159 * 16
</span><span><span><span>height = 9.9471839432
</span>
</span>
</span>
<span>height = 9.95 (rounded)
</span>
Answer:
f(x)= (x+8)^2 + 200
Step-by-step explanation:
-b/2a gives you the x coordinate of the vertex and then plug it in for x to get the y coordinate. Put it in the formula (f()x= (x-h)^2 +k).
H is the x coordinate and K is the y coordinate
Answer:
Option 3: 200L + 100B > 5,000
Step-by-step explanation:
Each laptop costs 200 dollars, so this could be represented as 200L. Each bike costs 100 dollars, so this could be represented as 100B.
Jonathan wants his total of laptops and bikes to be more that 5,000, so we have to add 200L and 100B. When added, it should be more than 5,000 dollars.
200L + 100B > 5,000
