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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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1,8,27; 64; Rule Missing numbers​
zubka84 [21]

Answer:

  rule: f(n) = n³

  missing numbers: 125, 216, 343, 512, 729

Step-by-step explanation:

Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.

  1 = 1·1·1 = 1³

  8 = 2·2·2 = 2³

  27 = 3·3·3 = 3³

  64 = 4·4·4 = 4³

__

The rule is ...

  f(n) = n³

The cubes of 5 through 9 will complete the set of numbers ...

  1, 8, 27, 64, 125, 216, 343, 512, 729

7 0
1 year ago
A recipe requires 1/4 lb of onions to make 3 servings of soup. Mark has 1 1/2 lb of onions. How many servings can Mark make?
Oxana [17]
⓵ You have to do a cross product in order to find your answer :

1/4 lb → 3 servings
1 ½ lb → × servings

(3 x 1 ½) ÷ 1/4 = (3 x 1,5) ÷ 0,25

⓶ Now you need to solve the equation :

(3 x 1,5) ÷ 0,25

↓

(4,5) ÷ 0,25

↓

4,5 ÷ 0,25 = 18

Which means that your final answer is that Mark can make 18 servings with 1 ½ lb of onions!

I hope this helped! ☻
6 0
2 years ago
What is the y-intercept of the line given by the equation y = 3x - 11?
-Dominant- [34]

Answer:

(0, - 11 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 11 ← is in slope- intercept form

with c = - 11 ⇒ (0, - 11 ) ← coordinates of y- intercept

3 0
3 years ago
Change the decimal to fraction form or mixed number form and reduce if possible 73.437
harina [27]

Answer:

73.437= 74 437/1000

Step-by-step explanation:

73.437 to fraction.

Let's acknowledge the presence of a decimal and how many digit we have after the decimal point.

Actually, the numbers after the decimal point will determine the amount of 10s to be divided with.

What I'm saying is this

73.437= 74 437/1000

In this case, 437 is a prime number

So

73.437= 74 437/1000

3 0
2 years ago
The system of equations shown below is graphed on a coordinate grid:
olga_2 [115]

(−2, 2)

3(2) + (-2) = 4

6 - 2 =4

4 = 4 .............TRUE

2(2) − (-2) = 6

4 + 2 = 6

6 = 6 ..............TRUE

Answer:

a. It is (−2, 2) and lies on both lines.

4 0
3 years ago
Read 2 more answers
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