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Alex777 [14]
2 years ago
5

If b=p+5 and a=p^2+10p+1 find an expression that equals 2b+3a in standard form

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
8 0

Answer:

3p² + 32p + 13

Step-by-step explanation:

Okay, so lets first solve for 2b. 2b = 2(p + 5), which is equal to 2p + 10. Now, let's solve for 3a. 3a = 3(p² + 10p +1), simplifying to 3p² + 30p +3. After adding 2b and 3a, we are able to get 2p + 10 + 3p² + 30p + 3 = 3p² + 32p + 13

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Step-by-step explanation:

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4 0
4 years ago
Read 2 more answers
Quick plz help asap marking brainliest for first answer as long as you include steps !!!
Akimi4 [234]

Answer:

a=2.48

c=9.52

Step-by-step explanation:

a+c=12

4a+7.5c=72.5 Given


a+c=12

-4a-7.5c=-72.5 multiply the equation by negative 1


-3a-6.5c=-60.5 simplify


-3a=-60.5+6.5c add 6.5c to both sides


a=-20.17+2.17c divide it by 3

now you would take that equation and plug it into an equation you already have since you have something to plug in for a, the easiest one to do is a+c=12

(-20.17+2.17c)+c=12 plug in the equation


-20.17+3.17c=12 simplify by solving for c


3.17c=30.17 add 20.17 to both sides


c=9.52 divide both sides by 3.17

now since you have found c, you can plug it in to you equation to solve for a now (use the ones from the second step).  I am using the equation a+c=12.

a+9.52=12 plug in the variable and solve for a


a=2.48 subtract 9.52 to both sides


a=2.48

c=9.52

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Answer:

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4 0
3 years ago
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