Answer:
Step-by-step explanation:
If you are asking how many dumnplings he can make well this is the answer:
1) 1500÷20= 75
So he can make 75 dumplings
Im not sure on the syntax here, but i assume the question is (4/9)^-1
(4/9)^-1
= (4^-1)/(9^-1)
A negative power is an inverse of the positive power
i.e. x^-2 = 1/x^2
This is because if we have say x^3/x^5 we simplify it by cancelling x^3 which gives 1/x^2.
Another way to think of it is to subtract the power of the bottom x from the power of the top x: 3-5 = -2 so x^3/x^5 = x^-2.
I hope this explains how negitive powers are the inverse of the positive power.
So....
(4^-1)/(9^-1)
= 9/4
Because the inverse of 4 is 1/4 and the inverse of 1/9 is 9
Answer:
This can be factored to (x + 3)(x - 3)(x + 2) = 0
So x is equal to 3, -3 and -2
Step-by-step explanation:
x³ + 2x² - 9x -18 = 0
Let's try dividing by (x + 3) as that looks like it might be a factor. We'll use long division:
x² - x - 6
x + 3 } x³ + 2x² - 9x -18
x³ + 3x²
-x² - 9x
-x² - 3x
-6x - 18
-6x - 18
0
Perfect! So (x + 3) is a factor, giving us:
(x + 3)(x² - x - 6)
the remaining quadratic can be factored more easily:
(x + 3)(x² - x - 6)
= (x + 3)(x² + 2x - 3x - 6)
= (x + 3)(x[x + 2] - 3[x + 2])
= (x + 3)(x - 3)(x + 2)
Now we can solve it easily as we know that's equal to zero, so x can be equal to 3, -3, and -2
D because it is the lowest point, obviosly
The answer is (4x-1)(x-1)(x+1)