Which expression is equivalent to the following 1/a^5?

Factorise the expression 3a2-4ab as far as possible

horsena [70]

In this case, you have to find a common multiple of 3a^2 and 4ab. As only one of the numbers is divisible by two, this means that two cannot go outside of the bracket. The only other aspect that is in both sides of the equation is a, therefore, this goes outside the bracket. The best way to approach this is to divide both sides by a, and this will give you what is inside the bracket. 3a^2 divided by a is 3a, therefore, this is the first aspect in the bracket. -4ab divided by a, leaves -4b. Therefore, these go in the bracket.
3a^2- 4ab simplified is a(3a-4b)
Hope this helps

7 0

3 years ago

The height of a hill, h(x), in a painting can be written as a

matrenka [14]

Answer:

First option: $6\ inches$

Step-by-step explanation:

<h3> The complete exercise is: "The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. Both h(x) and x are measured in inches $h(x) = -\frac{1}{5}(x)(x -13)$ . What is the height of the hill in the painting 3 inches from the left side of the picture?</h3>

You have the following function provided in the exercise:

$h(x) = -\frac{1}{5}(x)(x -13)$

You know that $h(x)$ represents the height of the hill (in inches) and "x" represents the distance from the left side of the painting (in inches)

Knowing that you can determine that, if the painting 3 inches from the left side of the picture, the value of "x" is the following:

$x=3$

Therefore, you need to find the value of $h(x)$ when $x=3$ in order to solve this exercise.

So, the next step is to substitute $x=3$ into the function:

$h(x) = -\frac{1}{5}(3)(3 -13)$

And finally, you must evaluate in order to find $h(3)$ .

You get that this is:

$h(3) = -\frac{1}{5}(3)(-10)\\\\h(3) = -\frac{1}{5}(-30)\\\\h(3)=6$

4 0

3 years ago

Read 2 more answers

Will give 15 points and brainliest

pentagon [3]

Answer:

1331π cm³

Explanation:

$\sf V_{cylinder} = \pi (radius)^2 (height)$

Here given:

radius: 11 cm
height: 11 cm

Hence find volume:

$\sf \rightarrow\pi (11)^2 (11)$

$\sf \rightarrow 121\pi ( (11)$

$\sf \rightarrow 1331\pi \quad \approx \:\:\ 4181.46 \ cm^3$

4 0

1 year ago

Read 2 more answers

A survey asked 247 students what their favorite subject was. Of those students, there were 115 boys. One hundred two students an

Butoxors [25]

Answer:

Step-by-step explanation:

you have to add a table

6 0

3 years ago

The diameter of a sphere is 12 inches.what is the volume of the sphere to the nearest cubic inch ?

miss Akunina [59]

Answer:

The volume of the sphere is 288π or 904.778 cubic inches.

Step-by-step explanation:

$given \\ diameter \: of \: sphere \: = 12 \: inches \\ radius \: of \: sphere \: = \frac{diameter}{2} \\ radius \: = \frac{12}{2} = 6 \: inches \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {r}^{3} \\ here \: r \: = \: 6 \: in \\ volume \: of \: sphere = \frac{4}{3} \pi \: {6}^{3} \\ \\ volume \: of \: sphere = \frac{4}{3} \pi \times 216 \\ \: \: = 4\pi \times 72 \\ \: \: = 288\pi \\ \: \: = 904.778 \: cubic \: inches$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

4 0

3 years ago