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vodomira [7]
4 years ago
13

Factor completely 125x-27x^4 Step by step explanation

Mathematics
1 answer:
Vera_Pavlovna [14]4 years ago
8 0

Answer:

125x - 33x⁴

Pull out like factors :

125x - 27x⁴ = -x • (27x3 - 125)

Factoring: 27x³- 125

Theory : A difference of two perfect cubes, a³ - b³ can be factored into

(a-b) • (a² +ab +b²)

(a-b)•(a²+ab+b²) =

a³+a²b+ab²-ba²-b²a-b³ =

a³+(a2b-ba²)+(ab²-b²a)-b³ =

a³+0+0+b³ =

a³+b³

Check : 27 is the cube of 3

Check : 125 is the cube of 5

Check : x³ is the cube of x¹

Factorization is :

(3x - 5) • (9x² + 15x + 25)

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For which set of values of x is the algebraic expressions x^2-16/x^2-4x-12 undefined
matrenka [14]

Answer:

x= -2 & x = 6

Step-by-step explanation:

To find undefined points, you need to know when the bottom of the fraction is equal to 0, because you can't divide by 0! (The numerator is irrelevant.) In order to do this, you can factor the denominator of x^2 - 4x - 12. What factors of -12 add up to -4? That would be -6 and 2, so you can factor it out to (x-6)(x+2). Because the coefficient of x in both of these cases is 1, you can take the shortcut of just taking the opposite sign of the two numbers being added to x in these factors, giving you 6 and -2 for your undefined values.

Let me know if you need a more thorough explanation, as I sort of skipped through some wordy things there to give a more concise answer.

4 0
3 years ago
Help ASAP! I will give brainliest
Neko [114]

Answer: A)1/2

Step-by-step explanation: m = y2-y1/x2-x1

I will use the values (1,2) and (3,3) from the table

1=x1, 2=y1, 3=x2, 3=y2

m = 3-2/3-1

m=1/2

7 0
3 years ago
TIMED PLEASE HURRY :)
Fofino [41]

Answer:

I think it is b

sorry it took so long I just seen your question

3 0
3 years ago
Read 2 more answers
Tony hit 9 out of 15 pitches at baseball practice yesterday. The following day at practice 45 pitches were made. How many pitche
In-s [12.5K]

Answer:

18 pitches.

Step-by-step explanation:

I'm assuming the "9 out of 15" is the fraction of pitches Tony hit at baseball practice.

Hence, Tony missed 6 out of 15 pitches.

6/15 * 45

= 6 * 3

= 18 pitches.

Hope this helped!

6 0
3 years ago
Read 2 more answers
Help me with this question <br> Please I need help
34kurt

Answer:

384 cm²

Step-by-step explanation:

The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.

To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:

For parallelogram:

Height (H) = 7.5 cm

Base (B) = 24 cm

Area of parallelogram (A₁) =?

A₁ = B × H

A₁ = 24 × 7.5

A₁ = 180 cm²

For rectangle:

Length (L) = 24 cm

Width (W) = 8.5 cm

Area of rectangle (A₂) =?

A₂ = L × W

A₂ = 24 × 8.5

A₂ = 204 cm²

Finally, we shall determine the area of the shape.

Area of parallelogram (A₁) = 180 cm²

Area of rectangle (A₂) = 204 cm²

Area of figure (A)

A = A₁ + A₂

A = 180 + 204

A = 384 cm²

Therefore, the area of the figure is 384 cm²

3 0
3 years ago
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