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3 years ago

Simplify (3x2 + 2x - 3) (x + 5)

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

5 0

Answer:

3(x)^3 + 2(x)^2 + 22x - 15

Step-by-step explanation:

(3(x)^2 + 2x - 3) (x + 5)

=>(3(x)^2 + 2x - 3) (x) + (3(x)^2 + 2x - 3) (5)

=>3(x)^3 + 2(x)^2 - 3x + 15x + 10x - 15

=>3(x)^3 + 2(x)^2 + 22x - 15

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System word problems.. does anyone understand this. Brainliest!!

andrew-mc [135]

X = number of tickets sold in advance, and thus cheaper.

x + 206 = number of tickets sold at the door.

now, the ones sold at the door, are more expensive and is more than the early sold tickets, as you know is x + 206.

now, if the early ones cost each one 6 bucks, then the cost for all of them is 6*x, or 6x.

the ones sold at the door are 10 bucks each, and therefore their total cost is 10(x + 206).

now, we know sales in total for both was 6828, therefore,

$\bf \stackrel{in~advance}{6x}~~+\stackrel{at~the~door}{10(x+206)}=6828\implies 6x+10x+2060=6828
\\\\\\
16x=4768\implies x=\cfrac{4768}{16}$

and surely you'd know what that is.

how many were sold at the door? well, x + 206.

3 0

3 years ago

Which shows the following expression using positive exponents?

Hitman42 [59]

Answer:

1. option B is correct i.e., $\frac{-3a^{7}b^3b^1}{15a^{2}}$

2. option D is correct i.e., $\frac{a^3b^4}{ab^2}$ .

3. option B is correct i.e., $\frac{n^{10}}{16m^{6}}$ .

Step-by-step explanation:

1. Since the given equation is:

$\frac{-3a^{-2}b^3}{15a^{-7}b^{-1}}$

As we know that $a^{-x}=\frac{1}{a^x}$

So, the given equation can be represented as:

$\frac{-3a^{7}b^3b^1}{15a^{2}}$

2. Given equation is:

$\frac{a^3b^{-2}}{ab^{-4}}$

As we know that $a^{-x}=\frac{1}{a^x}$

so the given equation can be represented as:

$\frac{a^3b^4}{ab^2}$ .

3. Given equation is:

$(\frac{4mn}{m^{-2}n^6})^{-2}$

by using the properties $a^{-x}=\frac{1}{a^x}$ ,

and $a^x\times a^y=a^{x+y}$

$(\frac{4mn}{m^{-2}n^6})^{-2}$

= $(\frac{4n^1n^{-6}}{m^{-2}m^{-1}})^{-2}$

= $(\frac{4n^{1+(-6)}}{m^{-2+(-1)}})^{-2}$

= $(\frac{4n^{-5}}{m^{-3}})^{-2}$

= $\frac{4^{-2}n^{-5\times (-2)}}{m^{-3\times (-2)}}$

= $\frac{n^{10}}{16m^{6}}$ .

which is option B.

5 0

3 years ago

Read 2 more answers

An item cost 50 is marked up 20% off.Sales tax for the item is 8%.What is the final price including tax?

Alex787 [66]

$64.80 50+20%+8% tax then you get 64.80

5 0

3 years ago

Simplify: 1/3(6ab-9b)+2/3(9ab+12)

tangare [24]

Not sure how simplified you need it...

8ab-3b+8

6 0

4 years ago

Please help this is my last question for this page and I'm stuck on it

Lena [83]

put a 1 under the 13, so it is 13/1, and 5 5/6, turn it into an improper fraction by multiplying 5x6=30. then 30+5, which is 35. so just keep the denominator, which would be 35/6. so you would have 13/1 - 35/6. you need the same denominator, so see what both 1 and 6 would fit into. which is 6. so 13x6 which is 78, so 78/6 - 35/6, so 78-35 is 43. so 43/6, then simplify, which is 7 1/6

6 0

3 years ago

Simplify (3x2 + 2x - 3) (x + 5)​

Simplify (3x2 + 2x - 3) (x + 5)