Yes. For example x=-1 and y=-1/2
The system of equations has one solution (-1, 1)
<h3>Graph of system of linear equations </h3>
From the question, we are to graph the given system of equations.
The given system of equation is
y + 2x = −1
3y − x = 4
The graph of the given system of equations is shown below.
From the graph, we can observe that the solution to the given system of equation is given by two lines that intersect at the point (-1, 1).
Hence, the system of equations has one solution (-1, 1)
Learn more on Graph of linear equations here: brainly.com/question/14323743
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Answer:
3 seconds
Step-by-step explanation:
You want to set h(t)=3, then take the root such that t≠0. You would have:
3=3+48t−16t^2
Let's solve your equation step-by-step.
3=3+48t−16t2
Step 1: Simplify both sides of the equation.
3=−16t2+48t+3
Step 2: Subtract -16t^2+48t+3 from both sides.
3−(−16t2+48t+3)=−16t2+48t+3−(−16t2+48t+3)
16t2−48t=0
Step 3: Factor left side of equation.
16t(t−3)=0
Step 4: Set factors equal to 0.
16t=0 or t−3=0
t=0 or t=3
3 makes more sense than 0 because the ball can't have been in the air for 0 seconds.
So the ball was in the air for 3 seconds.
Answer: The probability of this ocurring by chance is less than 0.01.
The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.
Step-by-step explanation:
Since we have given that
Number of times a coin tossed = 500
Number of times head occurs = 416
So, our Z-score would be

So, At significance level of 0.01, p-value of Z-score is .202704.
and p-value < 0.01, i.e. 0.202704<0.832.
Hence, the probability of this ocurring by chance is less than 0.01.
The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.
The answer is A the first choice