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nasty-shy [4]
3 years ago
8

Simplify (5x−2+3x^2)+(4x+3)

Mathematics
1 answer:
Art [367]3 years ago
5 0

Answer:

3x^2 + 9x + 1

Or

3x ( x + 3 ) + 1

Step-by-step explanation:

(5x - 2 +3x^2 ) + (4x + 3 )

To make this a little bit more easier to read, you can remove the parentheses:

5x - 2 + 3x^2 + 4x + 3

Now, write in a way so that the like terms are next to each other:

3x^2 + 5x + 4x - 2 + 3

Now simplify the 'x' terms to get:

3x^2 + 9x - 2 + 3

Now, simplify the integers (the ones with now variables with them) to get:

3x^2 + 9x + 1

If you want, you can factor out the 3x for two of the terms to get :

3x ( x + 3 ) + 1

Therefore, your simplest form can either be 3x^2 + 9x + 1 OR 3x (x + 3 ) + 1

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On your family trip, you used 14 gallons of gas.
Alecsey [184]

Answer:

19

Step-by-step explanation:

To get the total miles you drove first, you need to do 84947 (number after the trip) - 84679 (the number before it. You get 268.

Next you need to find out how many miles per gallon. 268/14 which will equal to 19.142, which you can round to 19.

4 0
3 years ago
Mikey bought 4 of the 500 raffle tickets sold to
Zina [86]

Answer:

4/500

Step-by-step explanation:

6 0
3 years ago
(9y® + 2)2 =<br> combine like terms
Vsevolod [243]

Answer:

81y^2+36y+4

Step-by-step explanation:

First: 9y^2= 81y

Next: 2^2= 4

Then: 9y times 2= 18

Last: 18 times 2= 36y

(this : ^2 means squared in case you did not know)

4 0
3 years ago
A short-wave radio antenna is supported by two guy wires, 150 ft and 180 ft long. Each wire is attached to the top of the antenn
Dafna1 [17]

The distance between the anchor points of the two guy wires holding radio antenna is 181 feet (to the nearest foot)

<h3>How to determine the distance between the two anchor points of the guy wire</h3>

The problem will be solved using SOH CAH TOA

let the distance between the 150 ft long guy wire and the radio antenna be x

let the distance between the 180 ft long guy wire and the radio antenna be y

cos 65° = x / 150

x = cos 65° * 150

x = 63.39 ft

The height of the antenna

sin 65° = height of antenna / 150

height of antenna = sin 65 * 150

height of antenna = 135.95

using Pythagoras theorem

(length of guy wire)² = (height of the antenna)² + (anchor distance)²

(anchor distance)² = 180² - 135.95²

anchor distance = √(180² - 135.95²)

anchor distance = 117.97

The anchor points distance apart

= 63.39 + 117.97

= 181 (to the nearest foot)

Learn more on Pythagoras theorem here:

brainly.com/question/29241066

#SPJ1

4 0
1 year ago
I have like 20 minutes please help<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D-7x%2B10%3D0" id="TexFormula1" title="x^{2}-7x+10
Mandarinka [93]

Answer: Hmm Ok i do this-

Step-by-step explanation:

Wait are we trying to find x?

Ok so for the first one x = 5 and for the second one x = 2

3 0
3 years ago
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