Factor the following:
15 x y - 45 x - 6 y + 18
Factor 3 out of 15 x y - 45 x - 6 y + 18:
3 (5 x y - 15 x - 2 y + 6)
Factor terms by grouping. 5 x y - 15 x - 2 y + 6 = (5 x y - 2 y) + (6 - 15 x) = y (5 x - 2) - 3 (5 x - 2):
3 y (5 x - 2) - 3 (5 x - 2)
Factor 5 x - 2 from y (5 x - 2) - 3 (5 x - 2):
Answer: 3 (5 x - 2) (y - 3)
Answer:
10 m
Step-by-step explanation:
opposite = sin30° × 20 = 
× 20 = 10 m
I think, the answer will be -7
We have:
f(x)=1/(x-2)
g(x)
Then:
(fg)(x)=[1/(x-2)](g(x))=g(x)/(x-2)
Now; we calculate: (fg)`(x)
Remember: (u/v)=(u`v-vu´)/v²
Therefore:
(fg)´(x)=[g´(x)*(x-2) - 1*g(x)]/ (x-2)²
We know that:
g´(1)=-1
(fg)´(1)=6
Therefore:
6=[-1*(1-2)-g(1)]/(1-2)²
6=[1-g(1)]/1
6=1-g(1)
-g(1)=6-1
g(1)=-5
Answer: B. -5
Delta equation is:
but we are interested in
because it determines the discriminant
which means that discriminant is positive :)
Answer:
(-9,-3.4)
Step-by-step explanation:
By adding 2.1x and subtracting 5.3 from the top equation, it will end up as 2.1x=4y-5.3
By adding 5.5y to the bottom equation, it will end up as 2.1x=5.5y-0.2.
By the equal valuesmethod, they are equal: 5.5y-0.2=4y-5.3
5.5y+5.1=4y
5.1=-1.5y
y=-3.4; this gets us our y-coordinate.
To get the x-coordinate, you plug the value for y back into the original equation.
-2.1x-4y=5.3
-2.1x-4(-3.4)=5.3
-2.1x-13.6=5.3
-2.1x=18.9
x=-9
