Answer:
A) y = x^2 -1
B) -y = 2x^2 +1 We multiply B) by -1
B) y = -2x^2 -1
We can then say x^2 -1 = -2x^2 -1
3 x^2 = 0
x = 0
************* Double-Check: ******************
Equation A) y = -1 and
Equation B) y = -1
Step-by-step explanation:
Answer:
P(orange)x P(orange)= 5/9 x 5/9= 25/81
Step-by-step explanation:
You could use change of base formula
<h3>
Answer:</h3>
6 hours
<h3>
Step-by-step explanation:</h3>
The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.
That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.
The second hose alone can fill the vat in 6 hours.
_____
The first hose's rate of doing work is ...
... (1 vat)/(12 hours) = (1/12) vat/hour
If h is the second hose's rate of doing work, then working together their rate is ...
... (1/12 vat/hour) + h = (1/4 vat/hour)
... h = (1/4 - 1/12) vat/hour = (3/12 -1/12) vat/hour = 2/12 vat/hour
... h = 1/6 vat/hour
so will take 6 hours to fill 1 vat.
