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stich3 [128]
2 years ago
10

1. f(x) = 3x^3 - x^2 - 2x what are the possible rational zeros for this?

Mathematics
2 answers:
mr_godi [17]2 years ago
4 0

Answer:

here is the answer.....hope it helps you!❤️

mafiozo [28]2 years ago
4 0

Answer:

x = 0, \frac{2}{3}, and 1

Step-by-step explanation:

We have our equation 3x^{3} - x^{2} - 2x.

We can factor out an x like this:  x(3x^{2} - x - 2)

From here, it is easy to see that: x(3x + 2)(x - 1)

Now, we just set our equation to 0 like this: 0 = x(3x + 2)(x - 1)

So,

  • x = 0
  • 3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \frac{2}{3}
  • x - 1 = 0 ⇒ x = 1

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Hey how do you get from standard form to vertex form?
vlabodo [156]

Explanation:

Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.

Assume the quadratic equation to be \mathbf{ax^{2}+bx+c=0} where x is the variable.

Completing the square method is as follows:

  1. send the constant term to other side of equal                 \mathbf{ax^{2}+bx=-c}
  2. divide the whole equation be coefficient of \mathbf{x^{2}}, this will give     \mathbf{x^{2}+\frac{b}{a}x=- \frac{c}{a}}
  3. add \mathbf{(\frac{b}{2a})^{2}} to both side of equality                                   \mathbf{x^{2}+2\times\frac{b}{2a}x+\frac{b}{2a}^{2}=-\frac{c}{a}+\frac{b}{2a}^{2}}
  4. Make one fraction on the right side and compress the expression on the left side                                                                          \mathbf{(x+\frac{b}{2a})^{2}=\frac{b^{2}-4ac}{4a^{2}}}
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8 0
3 years ago
Every time Martina orders Chinese food, she gets egg drop soup. So, she decides to learn how to make it herself. Her recipe call
MrRa [10]

Answer:

2 cartons

Step-by-step explanation:

Hey! To start, we need to determine what we already know, Martine needs 8 cups worth of broth, but can only find 32-fluid ounce cartons.

Next, we need to find what we need to know, how many fluid ounces are in a cup? <em>There are 8 fluid ounces in 1 cup!</em>

Now, all we need to do is convert our cups to be able to find out how many cartons we need! So, to do this, we are going to multiply our number of cups by the number of fluid ounces in just 1 cup (so 8!).

<em>8 cups x 8 fluid ounces (per 1 cup) = 64 fluid ounces</em>

So! Martina needs 64 fluid ounces of broth to be able to create her recipe!

<em>But, we aren't finished just yet, as we need to find how many cartons Martina needs! Like we did before, we know that there a 32 fluid ounces in 1 carton so if we have 64 fluid ounces in the recipe, all we need to do is divide 64 by 32 to find out how many cartons we need!</em>

<em>64 fluid ounces (8 cups worth) ÷ 32 fluid ounces (per carton) = 2 cartons</em>

Melina needs to buy 2 cartons of broth to be able to complete her recipe.

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>

-SGO

8 0
2 years ago
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