The smallest integer should be 24.
Answer: 24, 33
2.5, 4.75
9.5, 11.75
<u>Step-by-step explanation:</u>
It is given that the PERIMETER is BETWEEN 24 and 33
--> 24 < P < 33
Graph: O------------------O
24 33
Perimeter = 2w + 2L
It is given that L = w + 7
Substitute P with 2w + 2L and substitute L with w + 7
24 < 2w + 2(w + 7) < 33
24 < 2w + 2w + 14 < 33
10 < 4w < 19
--> 2.5 < w < 4.75
Graph: O--------------------------O
2.5 4.75
Since L = w + 7, then w = L - 7
Substitute P with 2w + 2L and substitute w with L - 7
24 < 2(L - 7) + 2L < 33
24 < 2L + 2L - 14 < 33
38 < 4L < 47
--> 9.5 < L < 11.75
Graph: O------------------------O
9.5 11.75
<em>NOTE: Make sure you use OPEN dots on the graphs.</em>
Answer:
DNE.
Step-by-step explanation:
8x - 2y = 1 ---------------------(1)
-4x+ y = 3----------------------(2)
Multiply (2) by 2
-8x +2y = 6 -----------------(3)
Add (1) to (3)
8x - 2y + (- 8x + 2y) = 1+6
8x - 2y - 8x +2y = 7
But all the terms in LHS cancel out, leaving 0.
So you get 0=7, which is not valid.
Therefore no solution exists. DNE
Answer: There are 6046 digits will be written on expansion upto 2015th power.
Step-by-step explanation:
Since we have given that
We have to find the number of digits ,
So,
Since we know that
so,
Hence, there are 6046 digits will be written on expansion upto 2015th power.