Step-by-step explanation:
x³ - 4x² + x - 4
= x²(x - 4) + (x - 4)
= (x² + 1)(x - 4).
Since the quadratic factor (x² + 1) is irreducible any further, this is our answer.
1011.59 rounded off to 1011.6 (OPTION THREE)
Ths solubility curve is used to show the amount of salt dissolved (solubility).
<h3>What is the solubility curve?</h3>
The solubility curve is a depiction of the solubility of a substance plotted against its temperature. It can be used most times to show the solubility of a susbtance at different temperatures. This question is incomplete hence so we can not be able to obtain the solubility of the salt at this temperature.
If the solubility curve has been shown in the graph, then we can be able to obtain the solubility of the salt from the data shown on the plot.
Learn more about solubility curve: brainly.com/question/9537462
Answer:
A. (-1, -4)
Step-by-step explanation:
The vertex can be found by converting the equation from standard form to vertex form.
<h3>Vertex</h3>
Considering the x-terms, we have ...
y = (x^2 +2x) -3
where the coefficient of x is 2. Adding (and subtracting) the square of half that, we get ...
y = (x^2 +2x +(2/2)^2) -3 -(2/2)^2
y = (x +1)^2 -4
Compare this to the vertex form equation ...
y = a(x -h)^2 +k
which has vertex (h, k).
We see that h=-1 and k=-4. The vertex is (h, k) = (-1, -4).
On the attached graph, the vertex is the turning point, the minimum.
The formula for the surface area of a cylinder is pi×2rh+2pi(r^2)
In this problem, r is 4 in and h is 16 in