Subtract using a number line. 12−(−5) Select the point on the number line to plot the answer.
2 answers:
Answer:
12−(−5) = 17
Step-by-step explanation:
The given expression is
We need to find the value of given expression using a number line.
Two numbers are 12 and -5.
Plot these two numbers on the number line.
Now, start form -5 and jump up to 12 on the number line and count the jumps, then the number of jumps is the answer.
From below figure it is clear that the number of jumps between -5 and 12 is 17.
Therefore, the value of given expression is 17.
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Answer:
We are asked to use the property of limit and continuity to show that the function h(x) is continuous at x= -2.
The function h(x) is given by:
since clearly as we know that Polynomial functions are continuous everywhere so, the term in the numerator is continuous at x= -2.
Also the term in the denominator is continuous at x= -2.
and the function h(x) is defined in the neighbourhood of x= -2 since the denominator is not equal to zero at x= -2.
Also at x= -2 ; the limit of the function h(x) exist .
The limit is given by:
Hence, the function is continuous at x= -2.
The interval 
corresponds to the part of the distribution lying within 2 standard deviations of the mean (since 500-2*100=300 and 500+2*100=700). The empirical rule states that approximately 95% of the distribution is expected to fall in this range.