Answer:
divide top from bottom
Step-by-step explanation:
Answer:
the third one
Step-by-step explanation:
the third one
Ok, the first clue is it has six digit and the second clue is it’s a whole number!
So we know it lies between 99999 and 1000000
3rd clue tells it has only 3 different digits and 4th clue tells us each are used twice!
Moving on, 5th clue says none of its digits are even! 6th speaks none are divisible be 3
So the possibilities for digits are 1, 5, 7
And it’s greater than 600000, then the 1st digit must be 7! It is divisible be 5, so last digit must be 5!
7th clue states that It’s tenth digit is same as hundred-thousand! Means the tenth digit is 7
Let’s see what we got!
{7xxx75}
Clue no 8 as you can see says that it’s thousands digit is same as unit digit
So the number now is {7x5x75}
9th clue says it’s hundreds digit is different from tens digit meaning the hundreds digit is either 1 or 7 and we used 7 two times, so it’s 1 and clue 10 says it’s ten thousands digit is 1 so the number that’s playing hide ‘n seek or most probably riddle game is 715175!
Y=-3
-3=-1.5x
you substitiue y value, then you divide both sides by -1.5 and you get 2 for x.
(2,-3)
y=4.5
4.5=-1.5x
you substitute y value, then again you divide both sides by -1.5 and you get 3.
(3,4.5)
y=6
6=-1.5x
same thing for this last one. then once again divide by -1.5 and you get -4.
(-4,6)
Answer:
3. increases by 228 cats
Step-by-step explanation:
The rate of the increase in cats is given by:
![3+5t](https://tex.z-dn.net/?f=3%2B5t)
as this is the rate, we can write it as:
![\dfrac{dS}{dt} = 3 + 5t](https://tex.z-dn.net/?f=%5Cdfrac%7BdS%7D%7Bdt%7D%20%3D%203%20%2B%205t)
here t is the time in years. and S in the size of the colony
we're asked about the increase in size between the 10th and 4th year. So we need to know the sizes of the colony in those years.
We can find this out by integration. The above equation can be seen as a differential equation. Hence,
![dS = (3+5t)dt\\S(t) = \displaystyle\int{3+5t}\,dt \\S(t) = 3t+\dfrac{5}{2}t^2+C](https://tex.z-dn.net/?f=dS%20%3D%20%283%2B5t%29dt%5C%5CS%28t%29%20%3D%20%5Cdisplaystyle%5Cint%7B3%2B5t%7D%5C%2Cdt%20%5C%5CS%28t%29%20%3D%203t%2B%5Cdfrac%7B5%7D%7B2%7Dt%5E2%2BC)
S(t) is the function of the size of the colony at time t. We need to find the differences of sizes between t = 10 and t = 4. Basically,
![\text{difference} = S(10) - S(4)\\\text{difference} = 3(10) + \dfrac{5}{2}(10)^2 + C - \left(3(4) + \dfrac{5}{2}(4)^2 + C\right) \\](https://tex.z-dn.net/?f=%5Ctext%7Bdifference%7D%20%3D%20S%2810%29%20-%20S%284%29%5C%5C%5Ctext%7Bdifference%7D%20%20%3D%203%2810%29%20%2B%20%5Cdfrac%7B5%7D%7B2%7D%2810%29%5E2%20%2B%20C%20-%20%5Cleft%283%284%29%20%2B%20%5Cdfrac%7B5%7D%7B2%7D%284%29%5E2%20%2B%20C%5Cright%29%20%5C%5C)
The C's will cancel out
![\text{difference} = 3(10) + \dfrac{5}{2}(10)^2 -3(4) -\dfrac{5}{2}(4)^2\\\text{difference} = 228](https://tex.z-dn.net/?f=%5Ctext%7Bdifference%7D%20%20%3D%203%2810%29%20%2B%20%5Cdfrac%7B5%7D%7B2%7D%2810%29%5E2%20-3%284%29%20-%5Cdfrac%7B5%7D%7B2%7D%284%29%5E2%5C%5C%5Ctext%7Bdifference%7D%20%20%3D%20228)