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3 years ago

What is the degree of this trinomial? please help show the work if you can

Mathematics

2 answers:

alina1380 [7]3 years ago

5 0

The degree is of this trinomial is 8

Alekssandra [29.7K]3 years ago

3 0

The degree would be 8
(sorry if that’s wrong)

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Sari is teaching her best friend how to factor trinomials with a leading coefficient greater than 1. She starts with the trinomi

Eva8 [605]

Answer:

See explanation

$2x^2+5x+3=(x+1)(2x+3)$

Step-by-step explanation:

1. Make sure that the trinomial is written in the correct order - the trinomial must be written in descending order from highest power to lowest power. In you case, the trinomial must be written as

$2x^2+5x+3$

2. Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

In your case, coefficients 2, 5 and 3 do not have common factors, so go to the next step.

3. Multiply the leading coefficient and the constant, that is multiply the first and last numbers together:

$2\cdot 3=6$

4. List all of the factors from step 3 and decide which combination of numbers will combine to get the number next to x:

$6=1\cdot 6\\ \\ \bf{6=2\cdot 3}$

5. After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3:

$2+3=5$

6. Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5:

$2x^2+5x+3=2x^2+2x+3x+3$

7. Now that the problem is written with four terms, you can factor by grouping:

$2x^2 +2x+3x+3=(2x^2+2x)+(3x+3)=2x(x+1)+3(x+1)=(x+1)(2x+3)$

6 0

3 years ago

the perimeter of a triangle is 12cm. which one of the following is not possible sides of a trianglr? a)1 b)5 c)6 d)none of thish

Phantasy [73]

Perimeter of triangle = 3(side)

P = 3(s)

12 = 3s

12/3 = s

4 = s

I think there is a typo in your post.

The question should be: WHICH ONE OF THE FOLLOWING IS A POSSIBLE SIDE OF THE TRIANGLE?

In that case, 4 cm is the answer. However, 4 cm is not listed among the choices. So, choice d is the answer.

7 0

3 years ago

Geri used coupons at the grocery store and received a discount of $40.94. Once her discount was subtracted, the final cost of he

Andrei [34K]

The approx percent decease is 25%

5 0

3 years ago

Read 2 more answers

1. The table shows the probabilities of a response chocolate or vanilla when asking a child or adult. Use the formula for condit

Stels [109]

$\begin{matrix}&\text{chocolate}&\text{vanilla}&\text{total}\\\text{children}&0.14&0.26&0.40\\\text{adults}&0.21&0.39&0.60\\\text{total}&0.35&0.65&1.00\end{matrix}$

a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as

$P(\text{chocolate}\cap\text{adults})=P(\text{chocolate})\cdot P(\text{adults})$

"Chocolate" has the marginal distribution given by the second column, with a total probability of $P(\text{chocolate})=0.35$ . Similarly, "Adults" has the marginal distribution described by the third row, so that $P(\text{adults})=0.60$ . Then

$P(\text{chocolate})\cdot P(\text{adults})=0.35\cdot0.60=0.21$

Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with $P(\text{chocolate}\cap\text{adults})=0.21$ .

The probabilities match, so these events are indeed independent.

Parts (b) and (c) are checked similarly.

b. Yes;

$P(\text{children})\cdot P(\text{chocolate})=0.40\cdot0.35=0.14$
$P(\text{children}\cap\text{chocolate})=0.14$

c. Yes;

$P(\text{vanilla})\cdot P(\text{children})=0.65\cdot0.40=0.26$
$P(\text{vanilla}\cap\text{children})=0.26$

5 0

3 years ago

Is it linear or exponential?? I will mark as brainliest if correct!!

iogann1982 [59]

Answer

Exponential

Step-By-Step Explanation

put it on a graphing sheet

4 0

3 years ago