First find the slope of this new line; it's the same as the slope of the "given line," which you unfortunately have not yet given. Let's call that slope "m."
Then, the equation in point-slope form of the new line is
y - (-1) = m(x - [-1]), or y+1 = m(x+1)
Please go back to the original question, obtain the slope of the "given line," and substitute that value for m in y+1 = m(x+1).
Answer:
1) The question is aimed to determine the number that Laura is trying to come up with.
Such question is solved by stating an algebraic equation from the word statement, which is done step by step.
2) Using the name x for the unknown, the expression "three less than 8 times the number" is translated to: 8x - 3
3) The expression "half of 16 times the number after it was increased by 1" is translated to: (1/2) (16x + 1)
4) Finally, since they are equal, you can set the equation:
8x - 3 = (1/2) (16x + 1)
5) And solve for x in this way:
i) Distributive property:
8x - 3 = 8x + 1/2
ii) At this stage you can see that the both 8x terms (on the left and on the right) cancel each other, which leads to the impossibility to determine the value of the unknown:
-3 = 1/2 which is alwasy false, meaning that the equation has no solution.
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Step-by-step explanation:
hope it help
Answer:
-4
Step-by-step explanation:
Answer:
Answer in explanation
Step-by-step explanation:
In this question, we are asked to determine what could have happened if the same experiment carried out by two academicians turned out to five different results statistically.
What majorly could have caused this is the difference in sample size. In a scientific experiment, the term sample size refers to how many individual observations are present.
Due to this difference in sample size, an experiment conducted with more sample size is expected to yield a greater amount of degree of freedom.
Thus, the small differences between the groups of observations are likely to be statistically significant.
