Answer:
A, B & D
Step-by-step explanation:
Because if you subtract one of the constants from both sides then you should only have equal variables. In other words, both sides have to be identical in this situation.
33x-33= 33x + 25
33x = 33x + 58 No matter what you make x, the right will be 58 bigger than the right so there is no solution.
33x+33=33x+25
33x+8= 33x nope no solution
33x+25=33x+25
33x = 33x both sides identical so there is a solution
33x-25 = 33x +25
33x= 33x+50
Answer:
$104,710.29
Step-by-step explanation:
The amount is given by ...
A = Pe^(rt)
where P is the principal invested at annual rate r for t years. Filling in the numbers, we get ...
A = 30000e^(.05·25) = 30000e^1.25 ≈ 104,710.29
The balance will be about $104,710.29 on the child's 25th birthday.
Answer:
D
Step-by-step explanation:
Let's substitute a for x²:
x^4 - 3x² - 4
a² - 3a - 4
Now, this looks like something that is much more factorisable:
a² - 3a - 4 = (a - 4)(a + 1)
Plug x² back in for a:
(a - 4)(a + 1)
(x² - 4)(x² + 1)
The first one is a difference of squares, which can be factored into:
x² - 4 = (x + 2)(x - 2)
The second one can also be treated as a difference of squares:
x² + 1 = x² - (-1) = (x + √-1)(x - √-1) = (x + i)(x - i)
The answer is (x + 2)(x - 2)(x + i)(x - i), or D.
Answer: 200-300 liters
Step-by-step explanation: Each trough should be able to hold at least 200-300 litres of water with a minimum flow rates of 10 litres/minute. Trough volume can be reduced to about 100 litres if the flow rate is increased to 20 litres/minute. Likewise, how many gallons is a 2x2x4 tank?
