The approximate solution to the given system of equations, considering the graph, is given as follows:
D. 
.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
On a graph, the solution of a system of equations is given by the intersection between the curves. In this graph, the intersection of the two curves happen close to x = -3.25, y = 2.5, hence the solution is approximated by:
D.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
D. Minimum at (3, 7)
Step-by-step explanation:
We can add and subtract the square of half the x-coefficient:
y = x^2 -6x +(-6/2)^2 +16 -(-6/2)^2
y = (x -3)^2 +7 . . . . . simplify to vertex form
Comparing this to the vertex for for vertex (h, k) ...
y = (x -h)^2 +k
We find the vertex to be ...
(3, 7) . . . . vertex
The coefficient of x^2 is positive (+1), so the parabola opens upward and the vertex is a minimum.
Answer:
B. Inconsistent (No solutions exist)
Step-by-step explanation:
The linear system that consists of parallel lines are <u><em>inconsistent</em></u><em>, </em>which means that no solutions exist.
The impact of a very large volcanic eruption that have an effect on earth's climate is <u>It will cool the earth's surface as radiation from the sun is blocked from entering the atmosphere.</u>
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Explanation:
A very large volcanic eruption will spew tonnes of fine dust particles (pyroclast) into the atmosphere. These particles will be spread over large area by wind and the particles will remain suspended in the air for longer periods before they settle on the earth's surface.
The suspended particles will block the sun, and by reflecting most of the sunlight before it reaches the earth’s surface, will cause the surface temperatures to drop.
This same phenomenon caused the demise of dinosaurs after a meteorite strike threw dust particles into the atmosphere that lingered for a long time smothering plant life too.
Answer:
6xy^3 +12xy^2 z
Step-by-step explanation:
3xy^2 (2y+4z)
Multiply
3xy^2 * 2y + 3xy^2 *4z
common factors
3xy^3 +3xy^2 *4z
Multiply
6xy^3 +12xy^2 z
