HELP ME PLEASE!!!!

A fast-food restaurant offers 6 different burgers, 6 different side orders, 7 different flavor drinks, and 9 different flavors o

dangina [55]

Answer:

Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made = 529,200

Step-by-step explanation:

Given -

A fast-food restaurant offers 6 different burgers, 6 different side orders, 7 different flavor drinks, and 9 different flavors of ice cream .

choose 2 burgers from 6 different burger = $\binom{6}{2}$

choose 3 different sides from 6 different side orders = $\binom{6}{3}$

choose 2 flavor drinks from 7 different flavor drinks = $\binom{7}{2}$

choose 3 ice cream from 9 different flavors of ice cream = $\binom{9}{3}$

Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made=

= $\binom{6}{2}\times\binom{6}{3}\times\binom{7}{2}\times\binom{9}{3}$ ( Using combination )

= $\frac{6!}{(2!)(4!)}\times\frac{6!}{(3!)(3!)}\times\frac{7!}{(2!)(5!)}\times\frac{9!}{(3!)(6!)}$

= $15\times20\times21\times84$

= 529,200

4 0

3 years ago

Which beat explains what determines whether a number is irrational?

lisov135 [29]

Answer:

The correct answer is Choice D. An irrational number is a number that can be written as a decimal but never terminates or repeats.

A good example of an irrational number is the number pi. We know that it begins as 3.14. However, that is only the beginning. It goes on forever without repeating or terminating.

Step-by-step explanation:

4 0

3 years ago

2. Solve the equation by completing the square. Show your work.

scoundrel [369]

Answer:

x = 5 or 25

Step-by-step explanation:

I think the method I am about to explain is slightly quicker and easier than the method in your question. This works for any 'complete the square' question.

We begin with x² - 30x = - 125.

First, we are going to factorise the left-hand side of the equation by dividing the 'b' value (-30) by 2 (you'll see why this works in a minute):

(x - 15)²

We want these brackets to multiply out to give x² - 30x, so that they equal the left-hand side of the equation. Unfortunately, if we multiply them out, we get:

(x - 15)(x - 15) =

x² - 30x + 225

There is an unwanted term (the + 225, from 15²)! We only want x² - 30x, so we have to remove this term by subtracting it from the left side of the equation. To do this, let's set up the original equation again:

(x² - 30x + 225) - 225 = - 125

Note: The reason why we don't have to subtract it from both sides is because the original equation is x² - 30x = - 125, and so we must make sure the left hand side is still equal to x² - 30x.

So now we know that (x - 15)² multiplies out to give x² - 30x +225, we can write this as (x - 15)² in our equation:

(x² - 30x + 225) - 225 = - 125

is the same as:

(x - 15)² - 225 = - 125

Now add 225 to both sides of the equation:

(x - 15)² = - 125 + 225 = 100

(x -15)² = 100

The next step is to square root both sides. Be careful here, and remember that √100 can either be 10 or -10, as (-10)² = 100. To indicate both results, write ±10 ("plus or minus 10").

√(x - 15)² = √100

x - 15 = ±10

Because, there are two possible values for the right-hand side of the equation, we need to separate our equation into two equations:

1. x - 15 = 10

and

2. x - 15 = -10

Now we solve these two simple linear equations for x:

1. x = 10 + 15 <- add 15 to both sides

x = 25 This is our first solution.

2. x = -10 + 15 <- add 15 to both sides again

x = 5 This is our other solution.

So our two solutions are x = 5 and x = 25!

I have attached the quick version of the working out for this question - that is what you would be expected to write down in a test.

5 0

4 years ago

Write the function in vertex form y = -x2 - 8x - 7

GaryK [48]

Vertex form is y = -(x+4)^2+9

8 0

3 years ago

Determine algebraically whether the function is even, odd, or neither: f(x)=3x ³ +5

OlgaM077 [116]

I am sure that the function will be ODD
I HOPE I HELP✍️

4 0

2 years ago