Answer:
The zeros of the function are -0.488 and -7.39
Step-by-step explanation:
Given the quadratic function
f(x) = 2x²+16x-9
The zeros of the function is gotten at when f(x) = 0
2x²+16x-9 = 0
Using the general equation
x = -b±√b²-4ac/2a
From the equation, a = 2, b = 16 and c= -9
x = -16±√16²-4(2)(-9)/2(2)
x = -16±√256-72/4
x = -16±√184/4
x = -16+13.56/4
x = -16+13.56/4 and -16.13.56/4
x = --2.44/5 and -29.56/4
x = -0.488 and -7.39
Answer:
~p -> ~q
Step-by-step explanation:
A conditional statement in logic may be symbolized by the alphabets, p and q, It always contains an if - then statement.
There is always a logical connector in the statement with the symbol ->.
A conditional statement is false if the hypothesis is true and the conclusion is false.
The statement in the answer above reads in word; "if not p then not q".
Answer:
the opposite of 0 is 0
Step-by-step explanation:The opposite of “zero” is “nonzero”. In programming, 0 denotes false and any other integer represents true.
Step-by-step explanation:
I think we have to find the factors so
3x2 + 42x + 105
First we will multiply 105 by 3 = 315 then find factors of 315 which may add or subtract = 42
So 45 and 7
3x2 + 45x - 7x + 105
3x( x + 15) - 7(x - 15)
(3x - 7) and ( x - 15) are the factors
There is a problem please recheck the question
Answer: the speed of the current is 9 mph.
Step-by-step explanation:
Let x represent the speed of the current.
A boat can travel 21 mph in still water. If it travels 270 miles with the current. It means that the total speed with which the boat travelled with the current is (21 + x) mph.
Time = distance/speed
Time spent by the boat in travelling 270 miles is
270/(21 + x)
In the same length of time, it travels 108 miles against the current. It means that the total speed with which the boat travelled against the current is (21 - x) mph.
Time = distance/speed
Time spent by the boat in travelling 108 miles is
108/(21 - x)
Since the time is the same, then
270/(21 + x) = 108/(21 - x)
270(21 - x) = 108(21 + x)
5670 - 270x = 2268 - 108x
108x + 270x = 5670 - 2268
378x = 3402
x = 3402/378
x = 9
