Answer:
Positive
Step-by-step explanation:
Since there are two x-intercepts, -2 and 2, there is a positive discriminant. If the parabola was below the x axis and opened downwards, the discriminant would be negative.
Answer:
Step-by-step explanation:
The odd numbers.
Suppose you have 31 and 27 when you add these two together, you get 58 which is not an odd number.
If you need a more mathematical proof, you could do it this way.
2x+1
2x is even. Anything multiplied by 2 is even. When you add 1 you get an odd number
So continue on
2y + 1 is the other number.
2x + 1 + 2y + 1 = 2(x + y) + 2
2 (x + y ) is even. When you add 2 to it, nothing changes. The result is still even.
Answer:
![y=2x-4](https://tex.z-dn.net/?f=y%3D2x-4)
Step-by-step explanation:
Let the equation of line is
, where
is the slope of the line.
It passes through
.
(<em>Slope of the line</em> joining
)
Hence slope of the given line
![m=\frac{-8(-14)}{-2-(-5)}=\frac{-8+14}{-2+5}=\frac{6}{3}=2](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-8%28-14%29%7D%7B-2-%28-5%29%7D%3D%5Cfrac%7B-8%2B14%7D%7B-2%2B5%7D%3D%5Cfrac%7B6%7D%7B3%7D%3D2)
Equation of line is: ![y=2x+b](https://tex.z-dn.net/?f=y%3D2x%2Bb)
The line passes through ![(1,-2)](https://tex.z-dn.net/?f=%281%2C-2%29)
![-2=2\times 1+b\\b=-2-2\\b=-4](https://tex.z-dn.net/?f=-2%3D2%5Ctimes%201%2Bb%5C%5Cb%3D-2-2%5C%5Cb%3D-4)
Check if
is on the line ![y=2x-4](https://tex.z-dn.net/?f=y%3D2x-4)
![L.H.S.=-14\\R.H.S.=2\times (-5)-4=-10-4=-14\\L.H.S.=R.H.S.](https://tex.z-dn.net/?f=L.H.S.%3D-14%5C%5CR.H.S.%3D2%5Ctimes%20%28-5%29-4%3D-10-4%3D-14%5C%5CL.H.S.%3DR.H.S.)
Hence line passes through
.
Check if
is on the line ![y=2x-4](https://tex.z-dn.net/?f=y%3D2x-4)
![L.H.S.=-8\\R.H.S.=2\times (-2)-4=-4-4=-8\\L.H.S.=R.H.S.](https://tex.z-dn.net/?f=L.H.S.%3D-8%5C%5CR.H.S.%3D2%5Ctimes%20%28-2%29-4%3D-4-4%3D-8%5C%5CL.H.S.%3DR.H.S.)
Hence line passes through
.
"A" is the correct answer