We will determine the roots of the given equation by rational root theorem.
Rational root theorem states:
"If P(x) is a polynomial with integer coefficients, then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x).Then all the possible values of are the factors of the given polynomial".
Therefore, the given equation is:
The factors of the leading coefficient of = q =
The factors of the constant = p =
So, the possible values of .
Therefore, the roots of the given polynomial are .
Answer:
Step-by-step explanation:
÷
=> ×
=> ×
=>
=>
Answer:
9 mph
Step-by-step explanation:
-Let x be the speed of the boat upstream.
-Since the time upstream and downstream is equal, we will equate their time functions to solve for x:
-Speed upstream=x-8
-Speed downstream=x+8
#We then equate as follows:
Hence, the speed of the boat in still water is 9 mph
Answer:
Domain: (-∞, -5) ∪ (-1, ∞)
Step-by-step explanation:
Note:
For f(x) > 0: See the points of x for which the graph of f(x) lies above the x-axis.
For f(x) < 0: See the points of x for which the graph of f(x) lies below the x-axis.
We need to find the domain of f(x) for which f(x) < 0
From the graph, we can tell:
f(x) < 0 on (-∞, -5) ∪ (-1, ∞)
Therefore: The domain on which the given graph f(x) is negative, is (-∞, -5) ∪ (-1, ∞)
Not the whole answer but hope it helps. We know the length of one side and two inner angles. The equivalent of all the inner angles is 180° if you do 68°+56°=124° . Then if you subtract the 124° and 180° you get 56° . That means that you have two equal angles laying under the sides of the triangle. That means that the sides are equal. If the sides are equal that means that the other side is also 1.3 and that will help you get to the final aka CA