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masya89 [10]
3 years ago
11

One of the factors of 6x3 − 864x is A. 4 B. X^2 C. X + 12 D. X - 8

Mathematics
2 answers:
erastova [34]3 years ago
8 0
The answer is C. X+12
Anna71 [15]3 years ago
4 0

Consider the expression 6x^3-864x. This expression consists of two terms: 6x^3 and -864x.

These two terms have common factors 6 and x, because:

  • 6x^3=6x\cdot x^2;
  • -864x=6x\cdot (-144).

Then

6x^3-864x=6x(x^2-144).

You know that 144=12^2. Use the formula for the difference of squares:

x^2-144=x^2-12^2=(x-12)(x+12).

Therefore,

6x^3-864=6x(x-12)(x+12).

Answer: correct choice is C.

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Please help me this is due in less than 45 minutes!
Natasha_Volkova [10]

Answer:

1.) It's 20th century painting

2.) 0.5 probability

Step-by-step explanation:

If the universal = 60

We need to first get the value of X. That is,

x (x - 2) + x + 2x + 8 + 10 = 60

First open the bracket

x^2 - 2x + x + 2x + 8 + 10 = 60

x^2 + x + 18 = 60

x^2 + x - 42 = 0

Factorise the above equation

x^2 + 7x - 6x - 42 = 0

x (x + 7) -6(x + 7) = 0

x = 6 or - 7

Since x can't be negative, so we will ignore -7

The value for T = 6(6 - 2) = 6×4 = 24

The value for B = 2(6) + 8 = 12 + 8 = 20

If a painting is chosen from random,

If it's from 20th century, the probability will be 34/60 = 0.567

If it's from British painting, the probability will be 30/60 = 0.5

We can therefore conclude that it's from 20th century painting since it has higher value of probability.

The the probability of choosing a British painting will be 30/60 = 0.5

5 0
3 years ago
Choose the best definition for a function.
Masja [62]
I believe its answer is D.
A function is a relation from a set of possible outputs where each input is related to exactly one output. I how this is what you're looking for.
4 0
3 years ago
A vase contains 30 flowers. There are 16 roses, 10 carnations, and the rest are daisies . What is the ratio of roses to daisies
Yanka [14]

Answer

<h2>16 - 4</h2><h2 />

Step-by-step explanation:

If you subtract the amounts of the other flowers you end up with four meaning there are four daises in the vase.

<em>Good Luck With Your Work!</em>

<em></em>

<em></em>

<h3>Please let me know if I am incorrect!</h3>
7 0
3 years ago
Read 2 more answers
Find the EXACT circumference and area of a circle that has a radius of 6 cm. (use pi for )
irina [24]
Circumference of circle = 2 pi r
= 2 x 3.14 x 6
= 6.28 x 6
= 37.68 cm

Area of circle = pi r^2
= 3.14 x 6^2
= 3.14 x 36
= 113.04 cm^2
5 0
3 years ago
A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecti
scZoUnD [109]

Answer:

1/26

Step-by-step explanation:

There is a 1/13 chance that the card drawn will be a king. There is a 1/2 chance that the coin will land on tails. So, in total, it is a 1/26 chance.

3 0
3 years ago
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