Which system of equations has no solutions? (Systems of Linear Equations - Quiz I-ready)
1 answer:
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<h3>Answer:</h3>
See attached graphs.
<h3>Step-by-step explanation:</h3>You are being asked to observe the graphs of the various equations and identify something they have in common. To answer the question, it usually works well to do exactly what the question asks you to do.
a: All three lines have a slope of at least 1 and pass through the origin.
b: These lines all have the same slope. They are parallel.
c: All three lines have a slope less than 1 and pass through the origin.
d: These are all the same line.
e: All of these lines intersect at the point (2, -2).
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<em>Comment on the graphs</em>
The number of attachments allowed here is limited, so some graphs have been combined. Where there are 3 lines, the first is red, the second is blue, the third is green.
Graphs for (a) and (c) appear on the same page. The graphs for (c) are shown as dashed lines.
Graphs for (b) and (d) appear on the same page. The graph for (d) is shown in orange (as a dashed line). All threee lines look exactly like this.
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<em>Comment on the graphing program</em>
These are graphed using the Desmos on-line graphing calculator. It has a tutorial available and is not difficult to learn for most simple graphing applications. (It prefers the variables x and y.) Graphs can be saved for later. (Here, screen shots are used because Brainly doesn't like external links.)
Answer:
1) Ben, 2) , 3)
, 4)
Step-by-step explanation:
1) Ben has a higher rate of memorization, since the coefficient of the second power is lesser than the one from Alice.
2) The number of words can be estimated by integrating the function:
Alice
Ben
3) The average amount of words per minute is:
4) The average amount of words per minute is:
Answer:
B. False, they could be vertical angles
Step-by-step explanation:
Supplementary just mean when two angles form 180° (a straight line).
So ∠F and ∠G must form a straight line, and ∠G and ∠H must form a a straight line.
I drew the image out below and as you can see, angle F and H forms a vertical angle. A vertical angles is when two lines cross, the opposite angles from each others are called vertical angles.
