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Shtirlitz [24]
3 years ago
7

Which expression is equivalent to 64x^3-343

Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0

Answer:

B:  (4x - 7)(16x^2 + 28x + 49)

Step-by-step explanation:

64x^3-343 can be rewritten as 4^3x^3 - 7^3 or (4x)^3 - 7^3.  This is the difference of two cubes.  The appropriate formula for factoring such is

       a^3 - b^3 = (a - b)(a^2 + ab + b^2).  Therefore,

our (4x)^3 - 7^3 = (4x - 7)(16x^2 + 28x + 49).  This is Answer B.

You might be interested in
If f(x) =x2 +8 what is f(x) when x = 10
Shtirlitz [24]
F(x)= x² + 8 

When x = 10

f(x) = 10² + 8 = 108

Answer: 108
8 0
3 years ago
After writing an equation for each of the T-shirt companies, Jill wrote this equation: 30 + 6x = 20 + 8x Why do you think she wr
polet [3.4K]

Answer:

Step-by-step explanation:

she wrote it to solve the total amount spent on both T shirt.

30+6x=20+8x-8x

30+6x-8x=20

30-30-2x=20

-2x=20-30

-2x/-2=-10/-2

<u>x=5</u>

3 0
2 years ago
Cellus
Paladinen [302]

Answer:

9/4

Step-by-step explanation:

The quadratic function can be rearranged to look like this:

x^2-3x-1=0

Now we see that the constant b is equal to -3. Using the hint, we find:

(-3/2)^2=9/4

Hope that helps!

4 0
3 years ago
Can anyone pls help me to solve question 2 f and g and pls provide me a explanation I’m with that questions for three days
zvonat [6]

Answer:

  f)  a[n] = -(-2)^n +2^n

  g)  a[n] = (1/2)((-2)^-n +2^-n)

Step-by-step explanation:

Both of these problems are solved in the same way. The characteristic equation comes from ...

  a[n] -k²·a[n-2] = 0

Using a[n] = r^n, we have ...

  r^n -k²r^(n-2) = 0

  r^(n-2)(r² -k²) = 0

  r² -k² = 0

  r = ±k

  a[n] = p·(-k)^n +q·k^n . . . . . . for some constants p and q

We find p and q from the initial conditions.

__

f) k² = 4, so k = 2.

  a[0] = 0 = p + q

  a[1] = 4 = -2p +2q

Dividing the second equation by 2 and adding the first, we have ...

  2 = 2q

  q = 1

  p = -1

The solution is a[n] = -(-2)^n +2^n.

__

g) k² = 1/4, so k = 1/2.

  a[0] = 1 = p + q

  a[1] = 0 = -p/2 +q/2

Multiplying the first equation by 1/2 and adding the second, we get ...

  1/2 = q

  p = 1 -q = 1/2

Using k = 2^-1, we can write the solution as follows.

The solution is a[n] = (1/2)((-2)^-n +2^-n).

 

5 0
2 years ago
Which answer shows the FOIL method?
scoundrel [369]

Answer C

hope this helps :)

8 0
3 years ago
Read 2 more answers
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