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Law Incorporation [45]
3 years ago
12

Determine the factors of x2 − 8x − 12.

Mathematics
2 answers:
trasher [3.6K]3 years ago
8 0
C. Prime
Pretty sure its C because none of the other options factor to x^2-8x-12
lorasvet [3.4K]3 years ago
4 0

Answer:

<em>The correct option is:  c. Prime</em>

Step-by-step explanation:

The given expression is:   x^2 -8x-12

First we will take each given option and simplify them using FOIL method to see if we get the original given expression. So.....

a.\ \ \ (x-6)(x+2)\\ \\ =x^2+2x-6x-12\\ \\ =x^2-4x-12\\ \\ \\ b.\ \ \ (x+3)(x-4)\\ \\ =x^2-4x+3x-12\\ \\ =x^2-x-12\\ \\ \\ d.\ \ \ (x+6)(x-2)\\ \\ =x^2-2x+6x-12\\ \\ =x^2+4x-12

We can see that options a, b\ and\ d doesn't give the original given expression.

So, the expression x^2 -8x-12 is Prime.

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Step-by-step explanation:

6 0
3 years ago
The last time you bough pizza, 3 pizzdis was enough for 7 people. At that rate, how
garri49 [273]

Answer:

15 pizzas.

Step-by-step explanation:

The rate is 3 pizzas for every 7 people. If there are 35 people at the party (7 times 5), the amount of pizzas you should buy is 15 pizzas (3 times 5). Hope I  explained that well (^^'')

4 0
2 years ago
Algebra 1 : ordered pairs kinda dont get it
lesantik [10]

Answer:

<em>Option C; 3x - y = -27 and x + 2y = 16</em>

Step-by-step explanation:

1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.

2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.

3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ <em>Answer: Option C</em>

<em />

6 0
3 years ago
Select the correct answer from each drop-down menu.
RSB [31]

Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim

<em>The question is incomplete, as the required drop-down menus are missing. So, I will give a general explanation</em>

<em />

To show that a statement is true, you need evidence.

Take for instance:

\mathbf{if\ a^2 = 4,\ then\ a = 2}

The evidence that the above proof is true is by taking the <em>squares of both sides of </em>\mathbf{a = 2}

\mathbf{a^2 = 2^2}

\mathbf{a^2 = 4}

However, a counterexample does not need a proof per se.

What a counterexample needs is just an instance or example, to show that:

\mathbf{if\ a^2 = 4,\ then\ a \ne 2}

An instance to prove that: \mathbf{if\ a^2 = 4,\ then\ a = 2} is false is:

\mathbf{a = -2}

Hence, the complete statement could be:

<em>In a direct proof, evidence is used to support a proof . On the other hand, a counterexample is a single example that shows that a proof is false.</em>

<em />

Read more about evidence and counterexample at:

brainly.com/question/88496

5 0
2 years ago
What is the speed of the San Andreas fault?
diamong [38]

Answer:

The average rate of movement along the San Andreas Fault is between 30mm and 50mm per year over the last 10 million years. If current rates of movement are maintained Los Angeles will be adjacent to San Francisco in approximately 20 million years.

Step-by-step explanation:

4 0
2 years ago
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