Answer:
The correct option is;
C. -3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1
Please find attached the required function graph
Step-by-step explanation:
To solve the equation f(x) = 2·x⁴ + 12·x³ + 16·x² -12·x - 18, by graphing the function, we have;
x F(x)
-4 30
-3 0
-2 6
-1 0
0 -18
1 0
2 150
The shape of a graph with multiplicity of 2
Given that the graph bounces of the horizontal axis at the y-intercept at point x = -3, the factor (x - 3) must be a quadratic of the form (x - 3)², thereby having a multiplicity of 2 in the solution which are;
x = 1, -1, and, giving
(x - 1)·(x + 1)·(x - 3)² = 0
Therefore, the correct option is -3, multiplicity 2; -1, multiplicity 1; 1 multiplicity 1.
Answer:
Step-by-step explanation:
we have
------->
we know that
The formula to solve a quadratic equation of the form is equal to
in this problem we have
so
substitute in the formula
Remember that
Answer:
Step-by-step explanation:
Let the length of the rectangular part =l
The width will be equal to the diameter of the semicircles.
Area of the Skating Rink=
Therefore:
Perimeter of the Shape =Perimeter of two Semicircles + 2l
The perimeter of the rink is given as:
A/B is a reduced fraction which can be represented as a
terminating decimal if and only b is of the form 2^n5^n where m and n are non
negative integers. For example: 7/250, the terminating decimal here is 0.028 as
250 as the denominator equals to 2*5^2.
According to the above, we must know whether the denominator
have only 2-s and or 5-s as the prime factors. So,
Q = 8 = 2 ^3 = hence the denominator has only 2 prime
factors. Fraction P/Q will be termed as terminated decimal which is sufficient.
Step-by-step explanation:
5(x + 9) = 5*x + 5*9
which is
5x + 45