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almond37 [142]
3 years ago
12

Solve::::::::::::::::

id="TexFormula1" title=" \sf \: 3(y + 3) - 10 = 2y + 1" alt=" \sf \: 3(y + 3) - 10 = 2y + 1" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Nataly_w [17]3 years ago
6 0

\sf{\pmb{ANSWER : }}

let the equation be

\sf \: 3(y + 3) - 10 = 2y + 1

\sf \: 3y + 9 - 10 = 2y + 1

\sf \:  3y - 1 = 2y + 1

\sf \:  3y -2y = 1 + 1

\purple {{{\sf y = 2 }}}

https://brainly.in/app/profile/18799022

n200080 [17]3 years ago
5 0

<em><u>Solution:</u></em>

3(y + 3) - 10 = 2y + 1

  • Let us first multiply 3 and (y + 3).

or, 3y + 9 - 10 = 2y + 1

  • Now, transpose the value of 2y to the left hand side and 9 and -10 to the right hand side.

or, 3y - 2y = 1 - 9 + 10

  • Do the addition and subtraction.

or, y = 2

  • So, we have got the value of y.

<em><u>Verification</u></em><em><u>:</u></em>

LHS

= 3 (2 + 3) - 10

= 3 (5) - 10

= 15 - 10

= 5

RHS

= 2 (2) + 1

= 4 + 1

= 5

So, LHS = RHS [verified]

<em><u>Answer</u></em><em><u>:</u></em>

<em><u>y </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em>

Hope you could understand.

If you have any query, feel free to ask.

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Answer:

1) 3

2) 30

Step-by-step explanation:

To find the GCF, you find out the (prime) factors of the two numbers in question. For this question, we would find the (prime) factors that go into 6 and 15.

For the number 6, we can get 2 x <u>3</u> = 6.

For the number 15, we can get <u>3</u> x 5 = 15.

You then underline those factors that you have in common. As you can see, since there is only 1 factor underlined per number, we would have the GCF as 3. On the instance you have more than 1 number underlined, you just multiply them.

Example: 12 and 20

<u>2</u> x <u>2</u> x 3 = 12

<u>2</u> x <u>2</u> x 5 = 20

They both have 2 x 2 in common, so you would get 4 as the GCF.

Moving onto the LCM, I would find this by multiplying each number until i find something similar.

6 x 1 = 6

6 x 2 = 12

6 x 3 = 18

6 x 4 = 24

6 x 5 = <u>30</u>

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15 x 2 = <u>30</u>

The number that is underlined is the lowest common number we have when multiplying and going up by 1, so 30 would be our answer.

A faster way you could've solved this is by knowing that you can't multiply 6 and a whole number to get 15, but you can multiply 6 and a whole number to get 30. This, however, is just prior knowledge.

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Step-by-step explanation:

Lets begin with a.  (fog)(x)=f(g(x))

                                             =f(2x+x+7), Note that 2x+x+7=3x+7

                                             =f(3x+7) (where there  is x if the function f(x) we

                                               substitute x by 3x+7)

                                             =4-(3x+7) =4-3x-7=-3x-3= -3(x+1).

                            b. (gof)(x)=g(f(x))=g(4-x) (where there is x in the function  

                                                g(x) we substitute with 4-x)

                                             = 3(4-x)+7 = 19-3x

                          c.  (fog)(2) = -3(2+1) = -9 (we now substitute x with 2 in -3(x+1). )

                           d. (gof)(2) = 19-3(2)=19-6=13. (Again we now substitute x with

                                               2 in 19-3x)

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