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makvit [3.9K]
2 years ago
15

Factorise fully 6x + 9x cubed

Mathematics
2 answers:
o-na [289]2 years ago
6 0

Answer:

  • 3375x^3

Step-by-step explanation:

→ \left(6x\:+\:9x\right)^3

→ \left(15x\right)^3      [ add the x inside the bracket ]

→ 15^3x^3       [ remove the bracket ]

→ 3375x^3     [ final answer ]

Veronika [31]2 years ago
4 0

Answer:

3x(3x² + 2x)

Step-by-step explanation:

6x + 9x³

rearrange tribe

9x³ + 6x

factor by grouping

3(3x³ + 2x)

3x(3x² + 2x)

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8/9 to what power equals 64/81
Ierofanga [76]

2nd

Step-by-step explanation:

8/9 to the second power equals to 64/81. Hope this helps!

7 0
3 years ago
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Plz solve ASAP<br>solve the equation<br><br><br>-3(y-5)=24<br><br><br>y=?
elena-14-01-66 [18.8K]

Answer:

3

Step-by-step explanation:

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3 years ago
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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

-37 = -12 + 5d

5d = -25

d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

6 0
3 years ago
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aleksandr82 [10.1K]

Answer:

4

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7 0
3 years ago
Solving Exponential Equations (lacking a common base)<br><br>(0.52)^q=4
bulgar [2K]

Answer:

q = log4 / log0.53

q = -2.189

Step-by-step explanation:

(0.53)^q = 4

Taking log of both sides!

q log 0.53 = log 4

q = log 4 / log 0.53

q = 0.602 / -0.275

q = - 2.189

This can be checked to confirm correctness.

Substituting q = -2.189

(0.53)^ -2.189 = 1/ 0.249

= 4.01 Proved!

(Note that the "1" is because of the negative sign)

8 0
3 years ago
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