Answer:
Step-by-step explanation:
y(y+2)=y²-6
y²+2y=y²-6
2y=-6
y=-3
2[x-(1-3x)]=3(x+1)
2[x-1+3x]=3x+3
2(4x-1)=3x+3
8x-2=3x+3
8x-3x=3+2
5x=5
x=1
By the factor theorem, if x + 3 is a factor of f(x) = -3x^3 + 6x^2 + 6x + 9, then f(-3) = 0
f(-3) = -3(-3)^3 + 6(-3)^2 + 6(-3) + 9 = -3(-27) + 6(9) - 18 + 9 = 81 + 54 - 9 = 126.
Therefore, x + 3 is not a factor of the given function
Answer:
10:12:15
Step-by-step explanation:
a/b=5/6
b/c=4/5
thus
c/b=5/4
LCM of 4 and 6=12
5/6=10/12
5/4=15/12
b is the 12 in both
thus ratio between a:b:c is 10:12:15
i can reply in comments if more explanation is needed
Answer:
C) 8 and 9
Step-by-step explanation:
We know that 70 is between two perfect squares.
The square numbers 64 and 81 can help us solve this question.
64<70<81
We take square root to get:

We simplify this to get:

Therefore √70 is between 8 and 9.
The correct option is C.