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Gala2k [10]
3 years ago
12

Simplify (x+3)(x-1) - x(x+2)

Mathematics
2 answers:
SOVA2 [1]3 years ago
4 0

Answer:

-3

Step-by-step explanation:

(x+3)(x-1) - x(x+2)

Foil the first term

First x^2

outer -x

inner 3x

last -3

Add them together

x^2 -x+3x-3 = x^2 +2x-3

x^2 +2x-3  - x(x+2)

Distribute the second term

x^2 +2x-3 -x^2 -2x

Combine like terms

-3

True [87]3 years ago
4 0

Answer:

\boxed{-3}

Step-by-step explanation:

<em>Hey there!</em>

Well to simplify,

(x+3)(x-1) - x(x+2)

we need to do

(x+3)(x-1) first,

(x+3)(x-1)

x*x = x^2

-x + 3x = 2x

-1 * 3 = -3

\boxed{x^2 + 2x - 3}

Now we can do,

x(x+2)

x*x = x^2

x*2 = 2x

\boxed{x^2 + 2x}

So now we need to subtract the 2 products,

x^2 - x^2 = 0

2x - 2x = 0

The answer is,

\boxed{-3}

<em>Hope this helps :)</em>

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Step-by-step explanation:

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A. A group of twelve art students are visiting a local art museum for a field trip. The total cost of admission for the students
Shalnov [3]

Answer:

a) $10.42

b) 11 trips

c) 10 cookies

d) 12/125ths of a cheesecake (or 9.6%)

Step-by-step explanation:

a)  

Let x = the cost of admission for each student

Let y = the total cost of admission

⇒  y = 12x  

⇒  125 = 12x  

⇒  x = 125 ÷ 12  

⇒  x = 10.42

So the cost of admission for each student = $10.42

b)

Let x = the number of trips

Let y = the total number of passengers

⇒  y = 12x

⇒  125 = 12x  

⇒  x = 125 ÷ 12  

⇒  x = 10.42

Therefore, the van must make 11 trips in order to bring 125 passengers to the same location.  (If it took 10 trips, then it would only bring 120 passengers, hence why we have to round make 11 trips to bring the last 5 passengers).

c)

Let x = the number of cookies each neighbor will receive

Let y = the total number of baked cookies

⇒  y = 12x

⇒  125 = 12x  

⇒  x = 125 ÷ 12  

⇒  x = 10.42

Therefore, each neighbor will receive 10 cookies (we have to round it down, as if each neighbor received 11 cookies, we would need 132 in total).

d)

Let x = the number of cheesecakes purchased

Let y = the amount of cheescake each guest will receive

⇒  y = 125x

⇒  12 = 125x  

⇒  x = 12 ÷ 125

⇒  x = 12/125 = 0.096 = 9.6%

Therefore, each guest will receive 12/125ths of a cheesecake (or 9.6%).

6 0
2 years ago
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