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12345 [234]
3 years ago
11

Hey, can I please get some help with this? It shouldn’t be too hard, thanks!

Mathematics
1 answer:
Fynjy0 [20]3 years ago
7 0

Answer:

  • (x -3)(x+3)(2x +1)
  • (x -1)(x +1)(x +3)
  • (2x -1)(2x +1)(x -4)

Step-by-step explanation:

A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)

__

B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)

__

C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)

_____

In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).

_____

The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.

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3. Find the number which is 32,586 more than 87,65,432.
sweet [91]

Answer:

3. 8,798,018

4. 4,782,125

5. 156,432,332

6. 4,581,865

7. 4,594,375

8. 3,672,050

9. 7,272,925

10. 3,979,150

6 0
3 years ago
In each diagram, abc is a straight line. Find the unknown angles.
aleksandr82 [10.1K]

Answer:

The value of ∠b = 180°

Step-by-step explanation:

Given that;

ABC is a straight line

Another angle is 137°

Find:

The value of ∠a

The value of ∠b

Computation:

We know that, ABC is a straight line

So,

137 + The value of ∠a = 180

The value of ∠a = 180 - 137

The value of ∠a = 43°

The value of ∠b = 360 - 137 - The value of ∠a

The value of ∠b = 360 - 137 - 43

The value of ∠b = 180°

6 0
3 years ago
Class
Brums [2.3K]

Answer:

Amy has $75 to buy 6 new books.If each book costs $5, which equation represents the amount of money ( m) Amy will have left? A. 75-11= m B. 75+15= m C. 75-30= m D.75+30= m

6 0
2 years ago
A bakery offers a small circular cake with a diameter of 8 inches. It also offers a large circular cake with a diameter of 24 in
Elanso [62]
We must find the area of each cake's top.

Formula for area of a circle:

A =  \pi  r^{2} where r is the radius.

<span>small cake:
</span>Plug in 4 for r because the radius is 4. (They give us the diameter, which is 8, and the radius is half that)

A =  \pi  4^{2}

A = 16π

<span>big cake:
</span>Repeat the process: 
Plug in 12 for r because the radius is 12. (They give us the diameter, which is 24, and the radius is half that)

A = \pi 12^{2}

A = 144π

So our two radii are 144π and 16π. 
The large cake's top is not 3 times the area of the small cake's.

This makes sense because you are squaring the radius, which makes the fact that the larger cake's diameter is triple the smaller cake diameter irrelevant. 

Hope this helped! ^-^
7 0
3 years ago
Read 2 more answers
The numerical coefficient of -2pqr
VMariaS [17]

Answer:  -2

Explanation: The coefficient is the number to the left of the variable.

Another example would be that 10xy has the coefficient 10.

Something like x^2 has coefficient 1 because x^2 = 1x^2.

7 0
3 years ago
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