Which of the following is a factor of 6x2 + 2x − 21?
1 answer:
ANSWER
None of the above
EXPLANATION
The quadratic expression given to us is
If the discriminant of this quadratic expression is a perfect square, then it has rational factors,
If we compare the above expression to the general quadratic expression,
We have,
The discriminant is given by,
Thus
Since 508 is not a perfect square, the expression
has no rational factors.
Therefore D is the correct answer.
None of the above
EXPLANATION
The quadratic expression given to us is
If the discriminant of this quadratic expression is a perfect square, then it has rational factors,
If we compare the above expression to the general quadratic expression,
We have,
The discriminant is given by,
Thus
Since 508 is not a perfect square, the expression
has no rational factors.
Therefore D is the correct answer.
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Okay, so first off, if you need to graph anything, I suggest Desmos, it's a website with an online graphing calculator. It saved my life for highschool geometry.
Now, to answer your question, your y-intercept is going to be at point (0,2). Your x-intercepts are going to be at points (-2,0) and (-4,0). Your point is at (-3,-1). And then your lines simply extend from there.
Hope this isn't too late to be helpful, good luck with your assignments.
<h2>Answer with explanation:</h2>
Let p be the proportion of the correct answers.
As per given , we have
, since the alternative hypothesis is right tailed , so the test is a one -tailed test.
If the student gets 52 answers correct out of 80.
i.e. the proportion of correct answers :
Test statistic :
P-value : [ by using p-value table for z (right-tailed)]
Since the p-value(0.0037) is less than the significance level (0.05), so we reject the null hypothesis.
Results : We have enough evidence to support the claim that a student knows more than half of the answers and is not just guessing.