Please confirm the question is x = (-7x^2 - 1) / (x + 4)
if that is the case, then
x * (x + 4) = -7x^2 - 1
x^2 + 4x = -7x^2 -1
8x^2 + 4x + 1 = 0
which does not have any real solution
Edit - much easier question to evaluate the expression (x^2 -1) / (x + 4) when x=-7
(-7^2 - 1) / (-7 + 4)
= (49 -1 ) / -3
= 48 / -3
= -16
The triangle on the left area is 18 because the area of a triangle is 1/2 b times h so 12 times 3 times 1/2 equals 18.you then cut a triangle from the quadrilateral to make into a triangle.The triangle is the same height has other triangle so its area is 18.Since you took three for base of left and right triangle you subtract 6 from 1 to make it your base of 8 and your height is 12 and 12 tikmes 8 is 96 so 18+18+96=132 so our answer is 132.
Answer:
Yes it is!
Step-by-step explanation:
Explanation:
Since we have given that
There are 6 gray keys for every 11 black keys .
So, the ratio will be 6:11
Let the number of gray keys be 6x
Let the number of black keys be 11x
Now, according to question,
so,
Answer:
Proved
Step-by-step explanation:
To prove that every point in the open interval (0,1) is an interior point of S
This we can prove by contradiction method.
Let, if possible c be a point in the interval which is not an interior point.
Then c has a neighbourhood which contains atleast one point not in (0,1)
Let d be the point which is in neighbourhood of c but not in S(0,1)
Then the points between c and d would be either in (0,1) or not in (0,1)
If out of all points say d1,d2..... we find that dn is a point which is in (0,1) and dn+1 is not in (0,1) however large n is.
Then we find that dn is a boundary point of S
But since S is an open interval there is no boundary point hence we get a contradiction. Our assumption was wrong.
Every point of S=(0, 1) is an interior point of S.
