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erica [24]
3 years ago
6

Simplify the following algebraic expressions 2y+6/3y+9​

Mathematics
1 answer:
Bond [772]3 years ago
3 0

Answer:

4y + 9

Step-by-step explanation:

2y+\frac{6}{3}y +9​

2y + 2y +9

4y + 9

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The sum of squares of three consecutive numbers is 77 find the numbers​
ollegr [7]

Answer:

4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

Now, the squares of these three numbers are  x^{2} ,(x+1)^{2} ,(x+2)^{2}

Sum = 77

∴by the problem ,

x^{2} +(x+1)^{2}+(x+2)^{2}  = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\

{Taking 3 common }

x^{2} +2x- 24 = 0\\

{By factorization}

x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\

Therfore,

x= -6,4\\

<em>X can't be negetive </em>

∴ x =4\\x+1=5\\x+2=6

The squares of the three consecutive numbers are 16, 25, 36

The three consecutive numbers whose sum is 77 are 4, 5, 6

3 0
4 years ago
The Probable Cause Panel has met and has determined that there is probable cause. What will be the next step in the complaint pr
Serhud [2]

Answer:

After the Probable Cause Panel has met and has determined that there is probable cause. The next step in the complaint process is to initiate investigation.

Step-by-step explanation:

The Probable Cause Panel (PCP) is structured by two professionals and one board member or consumer member. They determine probable cause within 30 days.

The following scenarios if PCP determined there is probable cause is to start an investigative report of the department but the complainant may appeal the decision of the probable cause panel within sixty days of notification by providing additional information for consideration.

3 0
4 years ago
Pleeeaseeeeeeeeee help​
trasher [3.6K]
Y=-1/2x-8

This is in y intercept form
6 0
3 years ago
Can somebody please help me
Lina20 [59]

Answer:

the answer is equation

number 3

Step-by-step explanation:

7 0
3 years ago
What is the result of subtracting the second equation from the first?
Elina [12.6K]

Answer:

-9

Step-by-step explanation:

The awnswer to the first equation is -4 and -4-5 is equal to -9

7 0
3 years ago
Read 2 more answers
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