Answer: The volume of the composite figure is .
Step-by-step explanation:
We know that the volume of a rectanbgular prism is given by :-
Volume = length x width x height
Given, for prism 1 , we have
length of 7 centimeters, width of 5 centimeters, and height of 8 centimeters
Volume of prism 1=
Given, for prism 2 , we have
length of 10 centimeters, width of 7 centimeters, and height of 4 centimeters.
Volume of prism 2=
Now , the volume of the composite figure = Volume of prism 1+ Volume of prism 2
Hence, the volume of the composite figure is .
C. 2 : 1, because the original ratio would be 8 : 4, but to get it to the correct ratio you must simplify the ratio to 2 : 1.
Answer:
Domain [-5,3)
Range [0,2]
Step-by-step explanation:
Domain is where the function exists for the x's.
The graph starts at x=-5 and ends at x=3. The graph includes what happened at x=-5 but not at x=3. Since there are no breaks in the graph, the graph exists for x values bigger that or equal to -5 but less than 3.
The domain is [-5,3) in interval notation.
Range is very similar except it is for the y values. So the graph starts at y=0 and stops at y=2. It includes something happening at both and there are no breaks between y=0 and y=2.
The range in interval notation is [0,2].
According to the direct inspection, we conclude that the best approximation of the two solutions to the system of <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)
<h3>What is the solution of a nonlinear system formed by two quadratic equations?</h3>
Herein we have two parabolae, that is, polynomials of the form a · x² + b · x + c, that pass through each other twice according to the image attached to this question. We need to estimate the location of the points by visual inspection on the <em>Cartesian</em> plane.
According to the direct inspection, we conclude that the best approximation of the two solutions, that is, the point where the two parabolae intercepts each other, to the system of two <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)
To learn more on quadratic equations: brainly.com/question/17177510
#SPJ1