Answer:
Step-by-step explanation:
x^2
--------------------------------------------------
2x + 1 / 2x^3 - x^2 + x + 1
2x^3 + x^2
-----------------------
0 + x + 1
x + 1
The quotient is x^2 + ------------
2x + 1
<span>When a plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone, the conic section that is formed by the intersection is a curve known as hyperbola.
The standard form of the equation of the hyperbola is shown below:
[(x-h)^2/a^2]-[(y-k)^2/b^2]=1 (Horizontal axis)
</span>[(y-k)^2/a^2]-[(x-h)^2/b^2]=1 (Vertical axis)<span>
Therefore, the answer is: Hyperbola.
</span>
The answer is 58, because 2/5 is equal to 0.4, and 0.4 multiplied by 145 is 58.
Answer:
Step-by-step explanation:
f(x) = x⁵ – 8x⁴ + 16x³
As x approaches +∞, the highest term, x⁵, approaches +∞.
As x approaches -∞, x⁵ approaches -∞ (a negative number raised to an odd exponent is also negative).
Now let's factor:
f(x) = x³ (x² – 8x + 16)
f(x) = x³ (x – 4)²
f(x) has roots at x=0 and x=4. x=4 is a repeated root (because it's squared), so the graph touches the x-axis but does not cross at x=4.
The graph crosses the x-axis at x=0.
First to make the equation you need to make the ordered pairs that will come out to be (3,285) and (6,510)
Second you plug those ordered pairs in the slope formula, you will end with
510-285 225
-----------= -------- = 75 that's your slope
6-3 3
Now you plug it in the point slope form
y-285=75(x-3)
y-285=75x-225
+285 +285
-----------------------
y=75x+60 is your equation
f(x)=75x+60 in function notation
Part C: to graph the equation you can start off by making a table where you plug in -2,-1,0,1,2 into the equation for x or if you need to do more depends on your problem.Your labels for the x-axis would be the number of days and your y-axis would be the cost of rent after x number of days.
