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PtichkaEL [24]
2 years ago
10

Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5).

Mathematics
2 answers:
DENIUS [597]2 years ago
8 0
(3x×2x^2)+(3x×-4x)+(3x×-5)+(-6×2x^2)+(-6×-4x)+(-6×-5)
so, (6x^3)+(-12x^2)+(-15x)+(-12x^2)+(24x)+(30)

-12x^2can be added to the other -12x^2, which is =-24x^2
same thing with -15x and 24x that =9x

final answer
6x^3-24x^2+9x+30
lukranit [14]2 years ago
4 0

Answer:

The correct option is C.  6x³ - 24x² + 9x + 30

Step-by-step explanation:

The equation which is to be simplified :

(3x − 6)(2x² − 4x − 5)

Now, to simplify using the distributive law of multiplication over addition

⇒ 3x(2x² − 4x − 5) - 6(2x² − 4x − 5)

Again, By distributive law, we have :

⇒ 6x³ - 12x² - 15x - 12x² + 24x + 30

⇒ 6x³ - 12x²  - 12x² - 15x + 24x + 30

⇒ 6x³ - 24x² + 9x + 30

Hence, The correct option is C.  6x³ - 24x² + 9x + 30

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Sliva [168]

Answer:

no

Step-by-step explanation:

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3 0
2 years ago
Find the term indicated in the expansion. (x - 3y)11; 8th term
Alja [10]
The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11,  k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
 =( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1  )* x^4 * ( - 2,187 y^7 ) =
= 330 * ( - 2,187 ) x^4 y^7 = - 721,710 x^4 y^7
Answer: The 8th term in expansion is
 
8 0
3 years ago
Read 2 more answers
State if the two triangles are congruent. If they are, state how you know.
Gwar [14]

Answer:

The triangles can be congruent.

Step-by-step explanation:

They are congruent if proven by SSS: 2 sides are clearly stated that they are congruent due to the marks they have.

The last side can be congruent if the diagonals are congruent in length by proving.

They can also be congeuent due to SAS because there is gonna be alternate interior angles due to the transversal.

4 0
2 years ago
Given the functions f(x) = 2x -1 and g(x) =
Novosadov [1.4K]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

  • f(x) = 2x - 1
  • g(x) =  2 - x

a)

f(x) + g(x) = (2x - 1) + (2 - x)

                = 2x -1 + 2 - x

                = x + 1

b)

f(x) - g(x) = (2x - 1) - (2 - x)

              = 2x - 1 - 2 + x

               = 3x - 3

c)

g(-5) - f(-5)

Putting x = -5 in g(x) = 2 - x

g(x) = 2 - x

g(-5) = 2 - (-5) = 2+5 = 7

Putting x = -5 in f(x) = 2x - 1

f(x) = 2x - 1

f(-5) = 2(-5) - 1

       = -10 - 1

        = -11

Thus,

g(-5) - f(-5) = 7 - (-11) = 7+11 = 18

d)

f(x).g(x) = (2x - 1) (2 - x) = -2x² + 5x - 2

e)

f(g(x)) = f(2-x)

          = 2(2-x)-1

          = 4-2x-1

          = 3-2x

6 0
3 years ago
Point V is on line segment UW, given VW = x + 7, UW = 3x - 9, and UV = 8, determine the numerical length of UW
krek1111 [17]

Answer:

The numerical length of UW is 27

Step-by-step explanation:

8 0
3 years ago
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