Since we know that a number is divisible by 3 if the sum of all digits is divisible by 3.
Let us check which digits will make 371? divisible by 3.
11 is not divisible by 3.
Now let us check other digits as well.
12 is divisible by 3.
15 is also divisible by 3.
18 is divisible by 3 as well.
Therefore, 1, 4 and 7 in tenth place will make our number divisible by 3 and our numbers will be 3711, 3714 and 3717.
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Before performing any calculation it's good to recall a few properties of integrals:
So we apply the first property in the first expression given by the question:
And we solve the second integral:
Then we take the last equation and we subtract 10 from both sides:
And we divide both sides by 2:
Then we apply the second property to this integral:
Then we use the other equality in the question and we get:
We substract 8 from both sides:
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We have
In order to obtain easily the table, we need to clear y
then we evaluate for values of x
if x=0
y=-4(0)+1=1
y=1
if x=1
y=-4(1)+1=-3
y=3
if x=2
y=-4(2)+1=-7
y=-7
if x=3
y=-4(3)+1=-11
y=-11
So the table for the given equation is
x y
0 1
1 -3
2 -7
3 -11
Answer: L((7,5)T)=(7, 18)T
Step-by-step explanation:
The step by step explanation is given in picture.
