What's the difference between graphing an inequality with a closed dot and one with an open dot?

Answers

Answer 1

Answer: open means 'up to, but not including'
closed means 'up to and including'

example
x>3 would have open dot, meaning greater than 3, you can get close to 3, but not 3 like x=3.00000000000000000000001 is a solution, but you cant get to x=3

x>3 would be closed, this would include 3 and up so x=3 is a solution, als x=4, but not less than 3

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Please help. Algebra 2.

Answers

Answer:

its d

Step-by-step explanation:

if you use foil, or the box method you get
2x^2 x x
2x^2 x 4
3 x x
3 x 4

then the final answer is 2x^3 + 8x^2 + 3x + 12

I hope this helps

What is the first step to solving the division problem below?Divide 8 into 62 to get 7.
Divide 8 into 62 to get 8.
Multiply 8 by 7 to get 56.
Multiply 8 by 8 to get 62.

Answers

Answer 56.

Step-by-step explanation:Multiply 8 by 7 to get 56

Answer/Step-by-step explanation:

Work your way left to right solving each one going by the rules of PEMDAS

Have a nice day and do a good job, best of luck :)

Please Help me and answer quickly

Answers

1 batch . . . . 2-1/4 cups
2 batches . . 4-1/2 cups
3 batches . . 6-3/4 cups
4 batches . . 9 cups
.
.
7 batches . . 7(2 + 1/4) =

   (7 x 2) + (7 x 1/4) =

   14    + ( 7/4) =

   14 + 1-3/4 = 15-3/4

c). Write a proportion:    (1 batch) /(3 dozen) = (x) / (200 cookies)

1 dozen = 12 cookies
3 dozen = 36 cookies

So the proportion is (1 batch)/(36 cookies) = (x) / (200 cookies)

Cross-multiply:    (1 batch) x (200 cookies) = ('x' batch) x (36 cookies)

Divide each side by (36 cookies):

   (1 batch x 200 cookies / 36 cookies) = 'x' batch

   (200 batch / 36) = 'x' batch

   x = 200/36 = 5.55 batches

If you can only make whole batches, then you need to make 6 of them
in order to have at least 200 cookies.

d). There's more than one possible unit rate here:

--   2.25 cup flour per batch

-- 0.75 cup flour per dozen cookies

-- 0.0625 cup flour per cookie

-- 16 cookies per cup flour

-- 0.444 batch per cup flour

etc.

A man sold his house for $125,000. After paying the broker his commission, the man received $116,875. What was the broker’s commission percentage?

Answers

125,000 - 116875 = 8,125

8,125 / 125000 = 0.065

0.065 x 100 = 6.5%

93.5% Commission Percentage.

How many sandwiches can I make if I have 4 pounds of cheese and I use ⅛ of a pound for each one?

Answers

You can make 32 sandwiches because 4x1/8=32.

You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mix you can make?Trail Mix Recipe:
2 3/4 cups granola
1 1/3 cups peanuts

Please help and show how to solve..

Answers

The correct answer is:

4 full batches.

Explanation:

To solve this, we need to see how many "servings" (the amount needed for the recipe) of granola and peanuts we have.

We have 12 cups of granola. We need 2 3/4 cups. We need to see how many 2 3/4 cup-sized "servings" there are in 12 cups. We do this by dividing:

12 ÷ 2 3/4

Write both of these as improper fractions:

12/1 ÷ 11/4

To divide fractions, flip the second one and multiply:

12/1 × 4/11 = 48/11 = 4 4/11

This means we have 4 full servings of granola.

We have 8 1/2 cups of peanuts. We need 1 1/3 cups. We need to see how many 1 1/3 cups-sized "servings" there are in 8 1/2 cups. We do this by dividing:

8 1/2 ÷ 1 1/3

We need to write both of these as improper fractions:

17/2 ÷ 4/3

To divide fractions, flip the second one and multiply:

17/2 × 3/4 = 51/8 = 6 3/8

We have 6 full servings of peanuts.

The greatest number of full batches we can make will be the smaller of the two full servings we have. We have 4 full servings of granola and 6 full servings of peanuts; we cannot make 6 full batches of trail mix, since we don't have enough granola. This means we can only make 4 full batches.

So for the granola, you divide 12 by 2.75 (2 3/4), and you get 4.36, but you can only make full batches, so its just 4. Then, for the Peanut, you divide 8.5 (8 1/2) by 1.3333 (1 1/3) and you get 6.4, so you round that to 6. But, you need the full recipe, so it can't be 6, because you only have enough granola for four batches. so the answer is four. Am I making any sense?

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