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DanielleElmas [232]
3 years ago
9

How do you factor by grouping

Mathematics
2 answers:
sergejj [24]3 years ago
8 0
If you search online and write "how do you factor by grouping", lots of answers will appear, that can probs help you
Zanzabum3 years ago
3 0
<span>If you have a quadratic equation in the form <span>a<span>x2</span>+bx+c</span>
</span>Step 1) Determine the product of AC (the coefficients in a quadratic equation)Step 2) Determine what factors of <span><span>a⋅c</span> sum to b</span>Step 3) "ungroup" the middle term to become the sum of the factors found in step 2Step 4) group the pairs.
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Which inequality symbol has a open circle
Anuta_ua [19.1K]

Answer:

When graphing a linear inequality on a number line, use an open circle for <em><u>"less than" or "greater than",</u></em> and a closed circle for "less than or equal to" or "greater than or equal to".

3 0
2 years ago
Read 2 more answers
4.6w - 3 + 6.4x - 1.9y <br> What are the terms and coefficients?
Soloha48 [4]

For the algebraic expression 4.6w - 3 + 6.4x - 1.9y, the terms are 4.6w, - 3, 6.4x, and - 1.9y, and the coefficients are 4.6, 6.4, and -1.9 respectively.

Given: To find terms and coefficients in 4.6w - 3 + 6.4x - 1.9y

What are algebraic expressions?

Algebraic expressions are sequences or combinations of characters containing letters, numbers, variables, symbols, operands, etc.

They help in making a big problem short and to make a relationship between different parts of the problem.

What are the terms?

In algebraic expressions, terms are individual components involved in forming the algebraic expression except for the operators.

What are coefficients?

In algebraic expressions, coefficients are the numbers of letters that are associated with the variables.

Let's solve the given problem:

Given algebraic expression: 4.6w - 3 + 6.4x - 1.9y

Therefore the terms in the algebraic expression are: 4.6w, - 3, 6.4x, and - 1.9y

and the coefficients are: 4.6, 6.4, and -1.9 as w, x, and y are the variables or unknowns of the given algebraic expression.

Hence for the algebraic expression 4.6w - 3 + 6.4x - 1.9y, the terms are 4.6w, - 3, 6.4x, and - 1.9y, and the coefficients are 4.6, 6.4, and -1.9 respectively.

Know more about "terms and coefficients" here: brainly.com/question/13867708

#SPJ9

8 0
1 year ago
Which of these expressions CANNOT be simplified by combining like terms?
SOVA2 [1]
That would be : 6fg^3 + 5f^2g^2 + f^3g - 7....because there are no like terms
8 0
3 years ago
Read 2 more answers
Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2
drek231 [11]

<u>Answer:</u>

The equation of a polynomial of degree 3, with zeros 1, 2 and -1 is x^{3}-2 x^{2}-x+2=0

<u>Solution:</u>

Given, the polynomial has degree 3 and roots as 1, 2, and -1. And f(0) = 2.

We have to find the equation of the above polynomial.

We know that, general equation of 3rd degree polynomial is  

F(x)=x^{3}-(a+b+c) x^{2}+(a b+b c+a c) x-a b c=0

where a, b, c are roots of the polynomial.

Here in our problem, a = 1, b = 2, c = -1.

Substitute the above values in f(x)

F(x)=x^{3}-(1+2+(-1)) x^{2}+(1 \times 2+2(-1)+1(-1)) x-1 \times 2 \times(-1)=0

\begin{array}{l}{\rightarrow x^{3}-(3-1) x^{2}+(2-2-1) x-(-2)=0} \\ {\rightarrow x^{3}-(2) x^{2}+(-1) x-(-2)=0} \\ {\rightarrow x^{3}-2 x^{2}-x+2=0}\end{array}

So, the equation is x^{3}-2 x^{2}-x+2=0

Let us put x = 0 in f(x) to check whether our answer is correct or not.

\mathrm{F}(0) \rightarrow 0^{3}-2(0)^{2}-0+2=2

Hence, the equation of the polynomial is x^{3}-2 x^{2}-x+2=0

3 0
3 years ago
If Jefferson is drawing cards from a deck, and draws a 4 of hearts and a 10 of diamonds, what is this situation considered?
katrin2010 [14]
<h3>Answer:  A) Outcome</h3>

==========================================================

Explanation:

We can rule out "theoretical probability" since that concept deals with doing the math on paper, rather than getting out an actual deck of cards to compute the probability. If your teacher stated "the probability of drawing an ace is 1/13", then s/he would be using theoretical probability. We have a 1 in 13 chance to theoretically pick an ace out of all 52 cards since 4/52 = 1/13. No cards are needed to do such calculations. But if you actually pull out a deck of cards and randomly select them, then you'd be leaning toward empirical or experimental probability.

So in short, we can rule out choice B.

We can also rule out "complement" since the two situations of "drawing a 4" and "drawing a 10" aren't opposite. If it said something like "drawing a red card or drawing a black card", then those two events are opposite. The two events fully compose all the deck of cards (sample space). You either will draw a red one, or a black one, but not both colors at the same time.

So we're down to the answer being either A) outcome or D) event. At first glance, these two terms seem almost identical. However, they mean slightly different things.

Let's pick apart what each of those terms mean.

----------------

The outcome is the result of an event. An event is some specific action that you may or may not want to happen, and it's usually phrased within the parameters your teacher set up.

For example, we can define the event "it rains outside". So we're setting up the specific action of raining. Whether we want it or not doesn't really matter. The outcome would be the actual result of if the event happens or not. So if it does truly rain on day 1, then the outcome "rain" is what is recorded for day 1. Then if its dry on day 2, then "no rain" is the outcome for that second day. And so on.

Going back to the cards, one event could be set up as "selecting a heart card" with the outcome being "selected a 4 of hearts". The event is the rule set up and the outcome is the result we observe. To compute the empirical or experimental probability, we divide the number of times we get a specific event to occur over the total number of possible

---------------

Let's look at another example.

We'll roll a single die that has 6 faces on it. The set of possible outcomes are {1,2,3,4,5,6}. Only one outcome is possible per roll.

If we roll the die and it lands on 5, then the outcome is 5. This is the final result of the trial or experiment.

We can define an event like "A = rolling an even number", and then ask the question "what is the probability event A occurs?" In other words, we would be asking "what is the probability of rolling an even number?"

---------------

I suppose now that I think about it, we can state,

  • outcome = some single action you observe
  • event = collection of outcomes (usually some pattern to it)

as a loose way of telling the difference between the two terms.

Ultimately, the observations of getting a 4 of hearts and 10 of diamonds are considered an outcome.

4 0
3 years ago
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