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yuradex [85]
1 year ago
11

How would the expression x^3-64 be written using difference of cubes

Mathematics
1 answer:
Alexeev081 [22]1 year ago
7 0

The expression x³ - 64 can be rewritten using difference of cubes is; (x - 4)(x² + 4x + 16)

<h3>How to write an expression as difference of cubes?</h3>

Difference of cubes can be rewritten in the form of;

a³ – b³ = (a – b)(a² + ab + b²)

So in this question, we are given;

x³ - 64 = x³ - (4)³

where a = x and b = 4

This gives us;

(x - 4)(x² + 4x + 4²)

⇒ (x - 4)(x² + 4x + 16)

Read more about difference in cubes at; brainly.com/question/2747971

#SPJ1

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A system of equations that has at least one solution is called inconsistent.
solmaris [256]

False. Because if it has one then it is consistent.

Source: If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent. (https://www.varsitytutors.com/hotmath/hotmath.../consistent-and-dependent-systems)

8 0
3 years ago
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Find the mean of 11, – 7, – 14, 10, and -5.
Rudik [331]

Answer:

-1

Step-by-step explanation:

6 0
3 years ago
a group of workers can plant 5 1/4 acres in four and a half days what is the unit rate in acres per day
dangina [55]

Divide to find the unit rate:

5.25 acres

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4.5 days

7 0
3 years ago
What is the answer to 6(1+8n)=-39+3n
MissTica

For this case we must simplify the following expression:

6 (1 + 8n) = - 39 + 3n

We apply distributive property on the left side of the equation:

6 * 1 + 6 * 8n = -39 + 3n\\6 + 48n = -39 + 3n

We subtract 3n from both sides of the equation:

6 + 48n-3n = -39\\6 + 45n = -39

We subtract 6 from both sides of the equation:

45n = -39-6\\45n = -45

We divide between 45 on both sides of the equation:

n = \frac {-45} {45}\\n = -1

Answer:

n = -1

5 0
3 years ago
A bag of lollipops contains red lollipops and purple lollipops. 80% of the lollipops in the bag are red. A number generator simu
nata0808 [166]

Answer:

  The number generator is fair. It picked the approximate percentage of red lollipops most of the time.

Step-by-step explanation:

The other answer choices represent various misinterpretations of the nature of the experiment or the meaning of the numbers generated.

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A number generator can be quite fair, but give wildly varying percentages of red lollipops. Attached are the results of a series of nine (9) simulations of the type described in the problem statement. You can see that the symmetrical result shown in the problem statement is quite unusual. A number generator that gives results that are too ideal may not be sufficiently random.

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