Which function is equivalent to<br><br><br><br> g ( x ) = x 2 - 15 x

which expression is equivalent to the product 2x(x+2) (x-3)? A. 12x to the third - 12x ) B. 2x to the third - 4x squared - 6) C.

Law Incorporation [45]

Answer:

Option 4 is the correct option.

Step-by-step explanation:

We need to solve the expression 2x(x+2)(x-3)

Multiplying the terms with each other we get,

$2x(x+2)(x-3)\\=2x(x^2 -3x+2x-6)\\=2x(x^2 -x -6)\\=2x^3 -2x^2 -12x$

Option 4 is the correct option.

3 0

2 years ago

Error Analysis Your friend says that the volume of this sphere is 44.58

Maurinko [17]

Answer:

the given dimension was used as the radius
5.57 m³

Step-by-step explanation:

The volume of a sphere can be found using the formula ...

V = 4/3πr³ . . . . . where r is the radius

__

The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.

If 2.2 m is used as the radius, the volume is computed to be ...

V = 4/3π(2.2 m)³ ≈ 44.58 m³

This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.

__

The correct volume, using 2.2 m as the diameter, is ...

V = 4/3π(1.1 m)³ ≈ 5.57 m³

6 0

1 year ago

Please answer this to the best of your ability

Lilit [14]

Answer:

For this exercise we need to solve the next equation:

3 +6x = 2x + 27

We can start substracting 3 at both sides:

3 + 6x - 2 = 2x + 27 - 3

6x = 2x + 25

And then, we can substract 2x::

6x - 2x = 2x + 24 - 2x

4x = 25

Then, we divide by 4:

4x/4 = 24/4

x = 24/4 = 6

Now, we can see if we have done it correctly:

3 + 6*6 = 39

2 * 6 + 27 = 39

And we have seen our result is correct

7 0

2 years ago

Factor the following:<br><br> 5∙(a+3)^2-(a+3)

Zanzabum

Answer:

(a+3)(5a+14)

Step-by-step explanation:

Factor the polynomial.

(a+3)(5a+14)

3 0

1 year ago

Dionne can fold 175 packing boxes in 50 mìnutes. Elias can fold 120 packing boxes in 40 minutes. How long will it take each pers

Gre4nikov [31]

<h2>Dionne will fold 210 packing boxes in "60 mìnutes" and</h2><h2>Elias will fold 210 packing boxes in "70 mìnutes".</h2>

Step-by-step explanation:

Given,

Dionne can fold 175 packing boxes = 50 mìnute and

Elias can fold 120 packing boxes = 40 minutes

To find, the total time each person to fold 210 packing boxes = ?

∵ Dionne can fold 175 packing boxes = 50 mìnute

∴ In 1 mìnute, Dionne can fold number of packing boxes = $\dfrac{175}{50}$ = 3.5

∴ Dionne can fold 210 packing boxes = $\dfrac{210}{3.5}$ minutes

= 60 minutes

Also,

Elias can fold 120 packing boxes = 40 minutes

∴ In 1 mìnute, Elias can fold number of packing boxes = $\dfrac{120}{40}$ = 3

∴ Elias can fold 210 packing boxes = $\dfrac{210}{3}$ minutes

= 70 minutes

Thus, Dionne will fold 210 packing boxes in "60 mìnutes" and

Elias will fold 210 packing boxes in "70 mìnutes".

8 0

2 years ago

Which function is equivalent to g ( x ) = x 2 - 15 x - 54?