All categories

2 years ago

Which polynomial can be factored using the binomial theorem?

Mathematics

1 answer:

Galina-37 [17]2 years ago

4 0

Answer:

Step-by-step explanation:

I think the one you want is the last one, but I've never called it that.

21x^2 + 147x + x^3 + 343

x^3 + 343 is a cubic binomial. It factors into (x + 7) (x^2 - 7x + 49)

21x(x + 7) + (x + 7)(x^2 - 7x + 49)

(x + 7) [ 21x - 7x + x^2 + 49)

(x + 7) [x^2 + 14x + 49]

(x + 7) ( x+7)^2

(x + 7)^3

It's the only answer that does factor. There must be a simpler way of doing it, but this will give you the right answer.

You might be interested in

A piling for a high-rise building is pushed by two bulldozers at exactly the same time. One bulldozer exerts a force of 1850

erastova [34]

Answer: I got this answer from the internet hopefully this helps

Resultant force will act on 65° N of W.

Step-by-step explanation:

8 0

2 years ago

Bonnie had 1 one-dollar bill, 2 five-dollar bills, and 2 ten-dollar bills in her pocket. She randomly took 3 bills from her pock

Burka [1]

Answer:

There are 5 different outcomes, $30, $21, $20, $16 and $11.

Step-by-step explanation:

Bonnie has a total of 6 bills in her pocket. If she takes 3 random bills, this means that there are 20 different possibilities but the five dollar bills and ten dollar bills are not indistinctive so the number is not 20 for this example.

She can take the 1 dollar bill and the two 5 dollar bills which would make 11 dollars.

She can take the 1 dollar bill and the two 10 dollar bills which would make 21 dollars.

She can take the 1 dollar bill, one 5 dollar bill and one 10 dollar bills which would make 16 dollars.

She can take two 5 dollar bills and one 10 dollar bill which would make 20 dollars.

She can take two 10 dollar bills and one 5 dollar bill which would make 30 dollars.

So there are 5 different outcomes, $30, $21, $20, $16 and $11.

I hope this answer helps.

4 0

2 years ago

Until the scale was changed in 1995, SAT scores were based on a scale set many years ago. For Math scores, the mean under the ol

Dmitrij [34]

Answer:

Gina—her standardized score is higher than Colleen’s.

Step-by-step explanation:

Until the scale was changed in 1995, SAT scores were based on a scale set many years ago.

We solve this question using z score formula also know as standardized score formula which is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Gina

Gina took the SAT in 1994 and scored 500 on the Math test.

For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110.

x = 500

μ = 470

σ = 110

Hence, the z score is given as:

z = 500 - 470/110

z = 0.27273

Gina's z or standardized score is 0.27273

For Colleen

Her cousin Colleen took the SAT in 2013 and scored 530 on the Math test.

In 2013 the mean was 515 and the standard deviation was 116.

x = 530

μ = 515

σ = 116

Hence, the z score is given as:

z = 530 - 515/116

z = 0.12931

Colleen's z or standardized score is 0.12931

The person who did better relative to their peers is Gina and this is because her standardized score is higher than Colleen’s.

8 0

2 years ago

Help me please I’m so lost

Gnesinka [82]

Answer:

54°

Step-by-step explanation:

Since the radius is not given, i'm going to assume that you are being asked for the measure of Arc FE, which is the angle the arc makes on the circumference when measured from the center of the circle.

Please refer to attached.

We can observe that FG and GE are both radii of the circle, hence they will have the same length. This also means that triangle FGE is an isosceles triangle. Which in turn means that ∠GFE = ∠GEF = 63°.

With this we can find the measure of arc FE

= ∠FGE

= 180° - 63° - 63°

= 54°

Hope this helps!

4 0

2 years ago

Whats the answer to 1/2(5×-8)=-9

REY [17]

Answer:

I do not know if that x is a multiply sign or a variable so I'm going to answer both

If the x is a multiplication sign then the answer is -20 = -9

If the x is a variable then the answer is x = -2

Step-by-step explanation:

1/2(5 * -8) = -9

(1 * 5 * -8)/2 = -9

(5 * -8)/2 = -9

-40/2 = -9

-20 = -9

-20 ≠ -9

1/2(5x - 8) = -9

1(5x -8)/2 = -9

(5x - 8)/2 = -9

2((5x - 8)/2) = -9 * 2

2(5x - 8)/2 = -9 * 2

5x - 8 = -9 * 2

5x - 8 = -18

+8 +8

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

5x = -10

x = -10/5

x = -2

5 0

2 years ago