All categories

4 years ago

Simplify the expression

Mathematics

1 answer:

Darina [25.2K]4 years ago

4 0

The answer is D because the radical is cubed which means you have to break down whatever is in the inside and group it into 3s and take is out. Ex. 81 can be split into 9 and 9 and further 3x3x3x3. from here you can take out 3 3s and put them on the outside and have one 3 left in the inside.

You might be interested in

F(x) = x°-9x

laila [671]

F(x)=x^3-9x
and
g(x)=x^2-2x-3

so you just need to divide f(x) by g(x)

Therefore:

f(x)/g(x) = (x^3-9x) / (x^2-2x-3)

and of course you need to factor these two function to see if some factor would cancel another

x^3-9x = x(x^2-9)=x(x-3)(x+3)
and
x^2-2x-3 = (x-3)(x+1)

8 0

3 years ago

Solve the inequality and graph the solution set on a number line. Express the solution set in both set-builder and interval not

shusha [124]

<span>-8 < x -3 < 1
we have two inequations:
* -8<x-3 and -8+3<x-3+3 or -5 < x or x>-5
* x-3<1 or x-3+3<1+3 and we have x<4
For all cases we have -5<x<4
or </span><span>interval notations: x</span>∈(-5;4)
have fun

8 0

3 years ago

A bag contains 3 red, 4 blue, and 6 yellow marbles. One marble is selected at a time, and once a marble is selected, it is not r

astraxan [27]

The probability of choosing two yellow marbles = 5/26

Step-by-step explanation:

Step 1 :

Given

Total number of marbles in the bag = 13 marbles

Number of yellow marbles = 6.

We choose 2 marbles from the bag without replacing and need to determine the probability that both are yellow.

Step 2 :

Probability of finding yellow marble in the first try = Number of yellow marbles / Total number of marbles = $\frac{6}{13}$

Once the yellow marble is selected we have 5 yellow marbles among 12 remaining marbles in the bag.

Probability of finding yellow marble in the second try = Number of yellow marbles / Total number of marbles = $\frac{5}{12}$

Step 3:

P(yellow in first 2 tries) = P(yellow in first try) * P(yellow in second try)

P(yellow in first 2 tries) = $\frac{6}{13} * \frac{5}{12}$ = $\frac{5}{26}$

Step 4:

Answer:

The probability of choosing two yellow marbles = 5/26

4 0

3 years ago

Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? (Find the 8% tax then add it

dmitriy555 [2]

Answer:

Step-by-step explanation:

Tax

Meal plus tax = 25.3 + 8/100 * 25.3

Meal plus tax = 25.3 + 2.024 Round later. Find the total.

Meal plus tax = 27.324

Meal plus tax = 27.32 rounded to the nearest cent.

Tip

Total cost = 27.324 + 27.324 * 18 /100

Total cost = 4.91832 + 27.324

Total cost = 32.242

Rounded to nearest cent = 32.24 You should always round at the last step.

3 0

3 years ago

Which expresión is equivalent to 8x-2y+x+x

Marta_Voda [28]

We can combine x + x and get 2x. So we have:
8x - 2y + 2x. Therefore 10x - 2y is equivalent.

8 0

3 years ago