Vertical asymptotes can be found by setting the denominator equal to 0
x^2-6x = 0
factor out x
x(x-6)
set the two parts equal to 0
x = 0
x-6 = 0
x = 6
so the two x values are 0 and 6
ANSWER: B. x = 0, x = 6
Answer:
The simplified expression is
20x^2 - 33x - 27
Step-by-step explanation:
(6x - 9 - 2x)(8 + 5x - 5)
We must first rewrite the expression as a product of two binomials.
This can be done by adding like terms
(6x - 9 - 2x)(8 + 5x - 5)
We have,
(4x-9)(5x+3)
Multiplying the resulting binomial expression
(4x-9)(5x+3)
(20x^2+12x-45x-27)
Add the like terms
20x^2-33x-27
The simplified expression is
20x^2 - 33x - 27
Twenty x squared minus thirty-three x minus twenty-seven
I'm not totally sure what you are asking, but maybe this is a question about dependent and independent variables?
If so, these types of variables are used in math and science as measures. In math, independent variables and dependent variables are the "tools" used in an experiment.
Independent variables are the variables that are controlled during the experiment. These variables do not change during the experiment.
Dependent variables are the variables whose values change based on the independent variables. These variables are the "outcome" portion.
I have no idea if this answers your question or not. All I can say is that the "controlled" part of a sample would be the independent variable.
This question seems to be a good example of why we need to learn math!
P=present value
i=interest rate = 0.02 per year
time, t=1 year
we need P such that
interest = Pit ≥ 9.99
or
P(.0002*1) ≥ 9.99
=>
P ≥ 9.99/0.0002 = 49950
Answer: it takes a minimum balance of $49950 to cover a "below minimum balance fee" of $9.99.
For the pancake recipe, the results of the conversion of all the ingredients of the recipe to use exactly 3/4 cup of milk is:
- Milk = 3/4 cup
- Flour = 1 cup
- Baking powder = 1 tablespoon
- Salt = 0.5 teaspoons
- Eggs = 1
- Blueberries = 0.62 cups
- Servings = 3
To convert the recipe to use exactly 3/4 cup of milk, we need to convert all the ingredients units. We can start with the cups of flour.
Initially, we had the following amount of milk:
Before we needed 2 cups of flour for 1 1/2 cups of milk, now for 3/4 cups of milk we need the following cups of flour:

We can convert the other ingredients with this amount of cup of milk.
<u>Tablespoons baking powder</u>
Hence, we need to use now 1 tablespoon of baking powder.
<u>Teaspoon salt </u>
Therefore, we need now 0.5 teaspoons of salt.
<u>Eggs</u>
Then, we need 1 egg.
<u>Cups blueberries</u>
Therefore, 0.62 cups of blueberries are needed now.
The new amount of serving (s) is:

Hence, for 3/4 cup of milk we can make now 3 servings.
You can find more about the conversion factor here:
I hope it helps you!