9 has factors of 3*3.
2 is prime, so no factors.
from those two denominators, we can get the LCD of hmmm simply their product, namely 18.
now, recall that, to get the mixed fraction, we divide 89 ÷ 18, the quotient goes up front, the "4", and the remainder is the one atop, the "17".
Answer:
2x^2-12x-54
Step-by-step explanation:
First 2x times x along with 2x times -9
Second 6 times x along with 6 times -9
2x^2-18x+6x-54
=2x^2-12x-54
1-9 = 9 digits
10-99 = 180 digits
So if we continue the pattern to 99, there are 189 digits, and the last 5 digits would be 79899. Counting backwards: 189th = 9, 188th = 9, 187th = 8, 186th = 9, 185th = 7.
The 185th digit is 7.
Answer:
x² + 2x + [3\x - 1]
Step-by-step explanation:
Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
1| 1 1 -2 3
↓ 1 2 0
------------------
1 2 0 3 → x² + 2x + [3\x - 1]
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder, which in this case is a 3, so what you is set the divisor underneath the remainder of 3. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², 2 becomes <em>2x</em><em>,</em><em> </em>and the remainder of 3 is set over the divisor, giving you the other factor of <em>x² + 2x + [3\x - 1]</em>.
If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.
Answer:
There were 16 birds at the shelter on Wednesday.
Step-by-step explanation:
Number of cats and birds on Wednesday = 34
let the number of birds on Wednesday = b
Then number of cats = (34 -b)
The rate of taking care of each bird in shelter = $3
The rate of taking care of each cat in shelter = $7
Total amount spent by shelter on Wednesday = $174
So, according to the question
b x ($3) + (34 -b) ($7) = $ 174
or, 3b + 238 - 7b = 174
or, 4b = 64
⇒ b = 64/4 = 16
Hence, the number of birds in shelter on Wednesday = b = 16
and Number of cats = 34 - 16 = 18
