Answer:
2.79
Step-by-step explanation:
Answer:
(0, 4) and (-1, 0)
Step-by-step explanation:
Given system of equations:
![\begin{cases}y=2x^2+6x+4\\y=-4x^2+4\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dy%3D2x%5E2%2B6x%2B4%5C%5Cy%3D-4x%5E2%2B4%5Cend%7Bcases%7D)
<u>Solve by substitution</u>
Substitute the first equation into the second:
![\implies 2x^2+6x+4=-4x^2+4](https://tex.z-dn.net/?f=%5Cimplies%202x%5E2%2B6x%2B4%3D-4x%5E2%2B4)
Add 4x² to both sides:
![\implies 2x^2+6x+4+4x^2=-4x^2+4+4x^2](https://tex.z-dn.net/?f=%5Cimplies%202x%5E2%2B6x%2B4%2B4x%5E2%3D-4x%5E2%2B4%2B4x%5E2)
![\implies 6x^2+6x+4=4](https://tex.z-dn.net/?f=%5Cimplies%206x%5E2%2B6x%2B4%3D4)
Subtract 4 from both sides:
![\implies 6x^2+6x+4-4=4-4](https://tex.z-dn.net/?f=%5Cimplies%206x%5E2%2B6x%2B4-4%3D4-4)
![\implies 6x^2+6x=0](https://tex.z-dn.net/?f=%5Cimplies%206x%5E2%2B6x%3D0)
Factor out 6x from the left side:
![\implies 6x(x+1)=0](https://tex.z-dn.net/?f=%5Cimplies%206x%28x%2B1%29%3D0)
Therefore:
![\implies 6x=0 \implies x=0](https://tex.z-dn.net/?f=%5Cimplies%206x%3D0%20%5Cimplies%20x%3D0)
![\implies x+1=0 \implies x=-1](https://tex.z-dn.net/?f=%5Cimplies%20x%2B1%3D0%20%5Cimplies%20x%3D-1)
To find the y-coordinates of the found x-values, substitute the found values of x into one of the equations:
![x=0 \implies -4(0)^2+4=4 \implies (0,4)](https://tex.z-dn.net/?f=x%3D0%20%5Cimplies%20-4%280%29%5E2%2B4%3D4%20%5Cimplies%20%280%2C4%29)
![x=-1\implies -4(-1)^2+4=0\implies (-1,0)](https://tex.z-dn.net/?f=x%3D-1%5Cimplies%20-4%28-1%29%5E2%2B4%3D0%5Cimplies%20%28-1%2C0%29)
Therefore, the solutions to the system of equations are:
(0, 4) and (-1, 0)
Answer:
I think c is < that would be the answer
Step-by-step explanation:
The lower the negative number the higher it is
Answer:
Step-by-step explanation:
For Perimeter, just times both sides by 2 then add those together:
2(5x+2) + 2(3x+8) = 10x +4 +6x +16 = 16x + 20
If they want a solid #:
16x/16 = -20/16
x = -5/4
16(-5/4) + 20
-20 + 20 = 0
However, I think the first answer would the most likely
For Area, multipy the 2 sides using the box method, foil, etc.
I like using the box method (see image)
For the rest, its basically the same thing. The triangle is just adding the sides together
Hope this help! -w-
Answer:
64%
Step-by-step explanation:
The nickel= 9/25
The copper=16/25
1. Multiply by 4 to get a total of 100
nickel=36/100
copper= 64/100
Sorry if it is wrong but i hope i was right