Which is the simplified form of this expression?

(2x+3) (x-6)-2x^2+3x+30

Answers

Answer 1
Answer: -6x + 12

To find this answer, follow these steps:

First, multiply 2x + 3 and x - 6 using either the FOIL method or the box method. This should get you the answer of 2x^2 - 9x - 18

This should now replace the 2x + 3 and x - 6

So with that, you should have this currently:

2x^2 - 9x - 18 - 2x^2 + 3x + 30

Now, combine like terms:

The 2x^2 cancels each other out. After that, combine -9x and 3x to get -6x. Then -18 and 30.

This should leave you with the final answer of -6x + 12

Hope this helps!

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The homeowner's association is sponsoring a spaghetti supper. Tickets to the event cost $10.50 per person. Sixty-two people have already purchased tickets. The total number of tickets available is 245. If y = 10.50x represents the amount of money that can be received from the number of tickets that REMAIN to be sold, what values are appropriate for the domain of the function? A) x > 62 B) 1 < x ≤183 C) 0 ≤ x ≤183 D) 62 ≤ x ≤245

Answers

Answer:

0 ≤ x ≤183

Step-by-step explanation:

Originally there were 245 tickets available. After the sale of 62 tickets, 183 are left to sell. There cannot be a negative number of tickets sold; but, there could be from zero up to and including 183 sold in the future.

The choice we are looking for will show all of the possible numbers of tickets that could still be sold.

There is a possibility that is zero tickets to be sold up to all the rest of the tickets (245-62=183.

Choice c shows all of these possibilities. This choice basically says the remaining number of tickets sold could be 0 all the way up to 183.

Which one is greater 0.6 or 0.60

Answers

They are the same, because there's an invisible 0 next to 0.6.....
.6 and .60 are equal in the same way that 60 and 060 are equal -- The 0 is useless. More mathematically, .6 = six tenths or 6/10 and .60 = sixty hundredths or 60/100 and 6/10 is just a simplified version of 60/100.

What is, 18 5/12+8 10/17+23 7/12+28 7/17

Answers

18 5/12 + 8 10/17 + 23 7/12 + 28 7/17

First change them to improper fractions

18 5/12 = 221/12

8 10/17 = 146/17

23 7/12 = 283/12

28 7/17 = 483/17

now find the common denominator which would be  204

221/12 =  3757 /204

146/17 =    1752 /204

283/ 12 =    4811 /204

483/ 17 =      5796 /204

now add

(3757 + 1752 + 4811 + 5796) = 16,116/204

now divide

16,116 ÷  204 =  79

Your answer is D. 79

Hope this helps. :)

A board game for $29.95 at 8% sales tax

Answers

$27.55

29.95 x 8% (aka .08) = 2.396

29.95- 2.396 = 27.55

You would do $29.95 times .08(%)
Hope this was a successful answer!

What is the solution to the equation?  5(8 + 7) = 5 • x + 5 • 7   A. x = 1   B. x = 5   C. x = 7   D. x = 8

Answers

5(8+7)=5\cdot x+5\cdot7\n\nx=8\n\nAnswer:D\n\n5\cdot x+5\cdot7=\underline{5}\cdot x+\underline{5}\cdot7=\underline{5}\cdot(x+7)=5\cdot(8+7)\iff x=8

The value of the 7 in 507.264 is 10 times the value of the 7 in which number?

Answers

In this number the 7 is worth 7 units
Therefore you would need to divide (inverse operation) to get the original number which would be 0.7.