Two consecutive integers have a sum of 61 . Find the integers.
1 answer:
Answer:
The integers are, 30 and 31
Step-by-step explanation:
Given the statement: Two consecutive integers have a sum of 61 .
Let x and x+ 1 are the two consecutive integers.
then;
as per the given condition we have;
Combine like terms;
Subtract 1 from both sides ;
Simplify:
2x = 60
Divide both sides by 2 we get;
x = 30
and
value of x+1 = 30+1 = 31
Therefore, the integers are, 30 and 31.
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Answer:
Required equation of midline is x=4.
Step-by-step explanation:
Given function is,
In standerd form (1) can be written as,
where,
|a|= amplitude.
b= vertical shift.
c= horizontal shift.
Midline is the line which runs between maximum and minimum value.
In this problem,
a=3, b=2, c=-1, d=4
So amplitude a=3 and graph is shifted 4 units in positive y-axis.
Therefore,
Maximum value = d + a = 4 + 3 = 7
Minumum value = d - a = 4 - 3 = 1
Midline will be centered of the region (7, 1) that is at 4.
Hence equation of midline is x=4.