>>1st one- at X=0 Y=DNE so the function is not continious.
>>2nd one- there is Y value for every X so the function is continious.
>>3rd one- there is Y value for every X so the function is continious.
>>4th one- f(-1)=1 does not equal the limit of f(x).
because the limit as X aprroaches from the left and from ther right is different.
171 19/32=(171×32+19)/32=(odd number)/32.
But 32=2⁵
Thus, this ratio cannot be simplified, because the numerator is an odd number.
And the denominator is a power of 2.
Answer:
x = -3, x = 0 is a extraneous solution
Step-by-step explanation:
Step 1: Cross-multiply
3x² = 4x² + 3x
Step 2: Isolate <em>x</em>'s
0 = x² + 3x
Step 3: Factor
0 = x(x + 3)
Step 4: Find roots
x = 0, -3
Step 5: Double check work
Plug in both to see if they both work. Only x = 0 should be extraneous. We now have our answer!
Answer:
41235
Step-by-step explanation:
There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number,
The total number of times where each number will occur or be at first place is calculated as:
4! = 4 × 3 × 2 × 1
= 24
Hence,
24th number = The last number where 1 is at first place
We can write this out as:
12345
12354
12435
12453
12534
12543
13245
13254
13425
13452
13524
13542 e.t.c.
48th number = The last number where 2 is at first place
72nd place = The last number where 3 is at first place.
This means, the 73rd number is the first number where 4 is at first place.
Therefore, the 73rd number based on pattern is 41235
