Answer: 34
Step-by-step explanation:
Your answer would be, There is No Real Solution to the equation.
Use the discriminant to solve for number of real roots.
Use the Quadratic Formula: a = 1, b = - 2, c = 9
D = b^2 - 4ac
Y = ax^2 + bx + c
D = ( - 2)^2 - 4 * 1 * 9
4 - 36
= - 32
Since the discriminant is a negative, Therefore, there is No Real Solution to the Equation.
In the fraction form, it would be:
0.001 = 1/1000
So, your final answer is 1/1000
Hope this helps!
These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).
To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.
f(x) = 6x - 18
f(x/3) = 6(x/3) - 18
To simplify, we should distribute the 6 on the right side of the equation.
f(x/3) = 6x/3 - 18
Now, we can divide the first term on the right side to finalize our simplification.
f(x/3) = 2x -18
Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.
f(x) = 6x - 18
f(x)/3 = (6x-18)/3
This means that we must divide each term of the binomial by 3, so we are really computing
f(x)/3 = 6x/3 - 18/3
We can simplify by dividing both of the terms.
f(x)/3 = 2x - 6
Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.
Hope this helps!
Answer:
Number of different selections a customer can make = 54
Step-by-step explanation:
To solve this question, we simply need to see how many different combinations we can make from the given choices.
Let's first imagine just making two choices. The color of the car is fixed and we need to determine which engine size we want, and then which body style we want. If I select an engine size, i can make 3 choices for the body style. Since I can select 3 engine sizes, the total number of choices in this scenario would be 3 * 3 = 9
Similarly, if we want to find the different possible number of selections a person can make, we simply need to multiply the number of choices he has with each other. This is given below:
Number of selections = Engine Sizes * Body Styles * Color
Number of selections = 3 * 3 * 6
Number of selections = 54