All categories

3 years ago

Factor 8x3 − 343.

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

6 0

Answer:

A) (2x − 7) (4x² + 14x + 49)

C) (3x + 5) (9x² − 15x + 25)

Step-by-step explanation:

Sums and differences of cubes factor as:

a³ + b³ = (a + b) (a² − ab + b²)

a³ − b³ = (a − b) (a² + ab + b²)

8x³ − 343 is a difference of cubes.

(2x)³ − 7³

(2x − 7) (4x² + 14x + 49)

27x³ + 125 is a sum of cubes.

(3x)³ + 5³

(3x + 5) (9x² − 15x + 25)

You might be interested in

Katie earned $54.30 in interest from two accounts. One account Paid 4.1% apr and the other paid 3.2% apr. if she had a total of

ElenaW [278]

0.032x+0.041 (1500-x)=54.3
Solve for x
0.032x+61.5-0.041x=54.3
0.032x-0.041x=54.3-61.5
-0.009x=-7.2
X=7.2/0.009
X=800 invested at 3.2%

1500-800=700 invested at 4.1%

6 0

3 years ago

Find the next four times in each sequence

Ierofanga [76]

Answer:

For part 6: 39

Step-by-step explanation:

You have your starting number and then it gets added to a product of two numbers. 8 + (2x2) = 12. 12 + (2x3) = 18. 18 + (3x3) = 27. 27 + (3x4) = 39. That is the most logical answer I was able to find.

4 0

4 years ago

Be sure to complete both parts of this question!

Andru [333]

C !.!.!!.!..!.!!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!.!

8 0

4 years ago

Can someone solve for x

Helen [10]

bearing in mind that, whenever we have an absolute value expression, is in effect a piece-wise function with a positive and a negative version of the expression, so

$\bf |x^2-4x-5|=7\implies \begin{cases} +(x^2-4x-5)=7\\\\ -(x^2-4x-5)=7 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ +(x^2-4x-5)=7\implies x^2-4x-5=7\implies x^2-4x-12=0 \\\\\\ (x-6)(x+2)=0\implies x= \begin{cases} 6\\ -2 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ -(x^2-4x-5)=7\implies x^2-4x-5=-7\implies x^2-4x+2=0 \\\\\\ (x-2)(x-2)=0\implies x = 2$

6 0

3 years ago

What is 32273839 x 427282725253

Pachacha [2.7K]

Answer:

Step-by-step explanation:

1.379005388 * 10^19

5 0

3 years ago