What are the slope and the y-intercept of the linear function that is represented by the graph?

Which of the following expressions is equivalent to a9 - b9?

irina1246 [14]

When you have the power multiplied to another power you have to multiply
so
(a^3)^3 - (b^3)^3 = a^9 - b^9

A is correct.

B is incorrect because when you multiply the exponents you get a^18 - b^18

C is incorrect because when you distribute the 2 you get a^6 - b^6

D is correct too

8 0

3 years ago

Find the area of the composite figure:

-Dominant- [34]

Answer:

The area is 21.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The spin and dine restaurants ice cream for dessert Chloe actually won a bet and gets to spin two spinners disliked one random f

dmitriy555 [2]

The probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12

<h3>The missing part of the question</h3>

Flavor of ice cream: Vanilla, Strawberry, Chocolate

Topping: Rainbow sprinkles, Caramel sauce, Nuts, Cherries

<h3>The number of different combinations</h3>

Using the dataset above, we have:

Ice cream = 3

Topping = 4

The number of different combinations is calculated as:

Combination = ice cream * Topping

Evaluate

Combination = 3 * 4

Combination = 12

Hence, the number of different combinations is 12

<h3>The probability of spinning vanilla ice cream with chocolate a rainbow sprinkles</h3>

The vanilla ice cream with chocolate a rainbow sprinkles is just one of the 12 combinations.

So, the probability is:

P = 1/12

Hence, the probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12

Read more about probability at:

brainly.com/question/27116549

#SPJ1

5 0

1 year ago

In a Match 6 Lotto, winning the jackpot requires that you select six different numbers from 1 to 49, and that the same six numbe

zimovet [89]

Answer:

$P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}$

Step-by-step explanation:

Consider the following characteristics of the problem:

The numbers that are selected are different between 1 and 49. This means that the same number is not repeated twice.

The order in which the selected numbers appear does not matter:

This means that (123) = (312)

With this in mind, we know that it is a problem of combinations without repetition. It is not calculated using permutations because in the permutations the order of selection is important, for example: (123) is not equal to (312)

The formula for calculating combinations without repetition is:

$nCr=\frac{n!}{r!(n-r)!}$

Where n is the number of "elements" you can choose and choose r from them

In this case:

n=49

r=6

So:

$49C6=\frac{49!}{6!(49-6)!}$

$49C6=13,983,816\ outcomes$

There are 13,983,816 possible results

This is the best method to calculate the number of possible outcomes.

<em><u>"Besides your method, is there another method to determine the number of outcomes?"</u></em>

Sure, make a list of the 13,983,816 different sets of 6 numbers.

To win it is necessary to obtain the 6 winning numbers in any order. The number of ways this can occur is calculated by combining 6 in 6

$6C6=\frac{6!}{6!(6-6)!}=1$

Finally the probability of winning is:

$P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}$

Note that the probability of winning is very close to 0. It is practically impossible to win the lottery, you will probably never win anything. Therefore it is better not to invest money in this

6 0

2 years ago

Determine the inverse of f(x)=3x+4 algebraically

Fed [463]

Answer:

1/3x +4

is the inverse of f(x) = 3x + 4.

Check:

The purpose of the inverse property of multiplication is to get a product of one. So the inverse multiplied with the original number (or equation) should give us the product of one.

1 / (3x + 4) * 3x + 4 = 3x+4 / 3x+ 4 = 1

7 0

3 years ago