Answer:
consider integer are x, x+1, x+2, x+3
now x+(x+1) + (x+2) + (x+3) = 34
or, 4x + 6 = 34
or, 4x =28
x= 7
x =7
x+1 = 7+1 =8
x+2= 7+2=9
x+3= 7+3 =10
For this case we have the following system of equations:
![y = x ^ 2-6x + 12\\y = 2x-4](https://tex.z-dn.net/?f=y%20%3D%20x%20%5E%202-6x%20%2B%2012%5C%5Cy%20%3D%202x-4)
Equating the equations:
![x ^ 2-6x + 12 = 2x-4\\x ^ 2-6x-2x + 12 + 4 = 0\\x ^ 2-8x + 16 = 0](https://tex.z-dn.net/?f=x%20%5E%202-6x%20%2B%2012%20%3D%202x-4%5C%5Cx%20%5E%202-6x-2x%20%2B%2012%20%2B%204%20%3D%200%5C%5Cx%20%5E%202-8x%20%2B%2016%20%3D%200)
We look for two numbers that when multiplied, get 16, and when added together, get -8.
These numbers are -4 and -4.
![(x-4) (x-4) = 0\\(x-4) ^ 2 = 0](https://tex.z-dn.net/?f=%28x-4%29%20%28x-4%29%20%3D%200%5C%5C%28x-4%29%20%5E%202%20%3D%200)
So, the solution is![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
We look for the value of y:
![y = 2x-4\\y = 2 (4) -4\\y = 8-4\\y = 4](https://tex.z-dn.net/?f=y%20%3D%202x-4%5C%5Cy%20%3D%202%20%284%29%20-4%5C%5Cy%20%3D%208-4%5C%5Cy%20%3D%204)
Finally, the solution is:![(4,4)](https://tex.z-dn.net/?f=%284%2C4%29)
ANswer:
![(4,4)](https://tex.z-dn.net/?f=%284%2C4%29)
Assume that the numbers are X and Y;
The sum of the two numbers is:
X+Y=-12
Their difference is:
X-Y=84
We can present the number X as a funsction from Y, from any of the equation. Let do that from the first: X=-12-Y
Now, in order to have only one unknown we will write X in this form in the second equation:
(-12-Y)-Y=84
-12-Y-Y=84
-12-2Y=84
-12-84=2Y
-96=2Y
Y=-96/2=-48
X=-12-Y=-12-(-48)=-12+48=36
Answer:
Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens,When rounding an integer, all place values to the right of the rounding position are filled with zeros. For example, let's round 8,372 to the hundreds position, which currently contains the number 3. Because the number following the 3 is a 7, we raise the 3 to a 4, and the answer is 8,400.
Answer:
The answer is "$ 4450"
Step-by-step explanation:
Purchased policy price = $50,000
10th anniversary cash value = ?
The after calculation its final value is = $ 4450