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Harrizon [31]
3 years ago
13

Which statement justifies that 3x² − 2x − 4 multiplied by 2x² + x − 3 obeys the closure property of multiplication?

Mathematics
2 answers:
Anna007 [38]3 years ago
8 0

Step-by-step explanation:

(3x2 - 2x - 4) (2x2 + x - 3)

6x4 + 3x3 - 9x2 - 4x3 - 2x2 + 6x - 8x2 - 4x + 12

Solving like terms

6x4 - x3 - 19x2 + 2x + 12

scZoUnD [109]3 years ago
3 0

Answer:

C) The result 6x⁴ − x³ − 19x² + 2x + 12 is a polynomial.

Step-by-step explanation:

We have been given two polynomials 3x^2-2x -4 \text{ and } 2x^2+x-3.

Let us first multiply these polynomials.

(3x^2 - 2x - 4)(2x^2 + x - 3) \\= 3x^2(2x^2 + x - 3) -2x(2x^2 + x - 3)-4(2x^2 + x - 3)\\=6 x^4 - x^3 - 19 x^2 + 2 x + 12

Now, we know that polynomials follows closure property of multiplication, we can come to the conclusion that when we multiply the two polynomials, the result will be a polynomial.

Since, when we multiplied the given polynomials, we got 6 x^4 - x^3 - 19 x^2 + 2 x + 12 which is a polynomial.

Therefore, the correct option is:

C) The result 6x⁴ − x³ − 19x² + 2x + 12 is a polynomial.

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The area of a triangle is the base times height times 1/2. Please mark brainliest!!!!

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. Osteen has 32 marbles in his collection. 18 of his marbles are red, four are blue, and the rest are
nalin [4]

Answer: B

Explanation:  

32 marbles in total.

18 red marbles

4 blue marbles

10 green marbles.

You are asked what part of Osteen's marbles are red?

Probability = number of possible outcomes/total number of out outcomes.

P(Red) = 18/32 = 9/16

Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.

P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.

P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.

Hope this elaborate explanation helps.

6 0
2 years ago
Which graph or equation represents a Nonpoportional relationship A B C or D
VARVARA [1.3K]

Answer:

A

Step-by-step explanation:

A graph that represents a proportional relationship usually has the line cutting through the line of origin (0, 0).

The graph in option A does not have the line passing through the point of origin (0, 0), therefore, it does not represent a proportional relationship.

For an equation that represents a proportional relationship, it is written in the form of y = kx

Where, k is the constant of proportionality.

Therefore, the two equations given represents a proportional relationship.

7 0
2 years ago
At Yo-Yo Yogurt, the scale says that Sara has 8 ounces of vanilla yogurt in her cup. Her father’s yogurt weighs 11 ounces. How m
saveliy_v [14]

Answer: 1 \frac{3}{16}\ lb

Step-by-step explanation:

You know that Sara has 8 ounces of vanilla yogurt in her cup and her  father’s yogurt weighs 11 ounces. Then, the total ounces of frozen yogurt they buy altogether is:

total_{(ounces)}=8\ oz+11\ oz\\\\total_{(ounces)}=19\ oz

The next step is to make the conversion from ounces to pounds.

You need to remember that:

1\ lb=16\ oz

Therefore:

total_{(pounds)}=(19\ oz)(\frac{1\ lb}{16\ oz})=\frac{19}{16}\ lb

This result expressed as a mixed number, is:

total_{(pounds)}=1\frac{3}{16}\ lb

8 0
3 years ago
Determine the equation of the linear function that generates the following table of values.
Mashutka [201]

Answer:

y = -19x + 14

Step-by-step explanation:

For each increase of x by 1, y decreases by 19, giving us -19x. When x = 0, y = 14, therefore, y = -19x + 14

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1 year ago
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