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joja [24]
3 years ago
10

Find three consecutive even integers such that six times the sum of the first and the third is twenty - four greater than eleven

times the second .
Mathematics
1 answer:
dedylja [7]3 years ago
8 0

Answer:

1st = 22

2nd = 24

3rd = 26

Step-by-step explanation:

1st = x

2nd = x +2

3rd = x + 4

6(x + x + 4) = 24 + 11(x + 2)

6(2x + 4) = 24 + 11x + 22

12x + 24 = 46 + 11x

x + 24 = 46

x = 22

x + 2 = 24

x + 4 = 26

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What is the lowest common denominator of 5 and 9
lozanna [386]
It is 45 . Just simply multiply both numbers. You will get the smallest denominator
6 0
3 years ago
HELP PLEASEEEEEEEEEEEEEE
vazorg [7]

Answer:

-2/4,  8/40, 21/30, 9, 9 20/25

Step-by-step explanation:

9/20/25 is a bit greater than 9.

21/30 is 9 away from a whole 8/40 is 32 away from 40 -2/4 is way less because its on the negative side which is like so far away from the other numbers.

7 0
3 years ago
Solve the following inequality. |3n-2|-2<1
disa [49]

Answer: \frac{-1}{3} < n < \frac{5}{3}

<u>Step-by-step explanation:</u>

| 3n - 2 | - 2 < 1

<u>               +2 </u> <u>+2 </u>

| 3n - 2 |       < 3

3n - 2 < 3     and     3n - 2 > -3

<u>      +2 </u> <u>+2   </u>              <u>     +2 </u>  <u> +2 </u>

3n       < 5      and     3n      > -1

       n <  \frac{5}{3}       and         n > \frac{-1}{3}

\frac{-1}{3} < n < \frac{5}{3}

Interval Notation:  (\frac{-1}{3},\frac{5}{3})

Graph:  \frac{-1}{3} o--------------------o \frac{5}{3}


7 0
3 years ago
Read 2 more answers
If ln(4x+y)=2x-3,then dy/dx=
Viktor [21]

\ln(4x+y)=2x-3

Differentiate both sides wrt x:

\dfrac{\mathrm d(\ln(4x+y))}{\mathrm dx}=\dfrac{\mathrm d(2x-3)}{\mathrm dx}

By the chain rule, we get

\dfrac1{4x+y}\dfrac{\mathrm d(4x+y)}{\mathrm dx}=2

\dfrac{4+\frac{\mathrm dy}{\mathrm dx}}{4x+y}=2

Solve for \frac{\mathrm dy}{\mathrm dx}:

4+\dfrac{\mathrm dy}{\mathrm dx}=8x+2y

\boxed{\dfrac{\mathrm dy}{\mathrm dx}=8x+2y-4}

4 0
3 years ago
Which polynomial represents the difference below? (8x^2+9)-(6x^2+2x+2)
grin007 [14]

Answer:

The polynomial is  2 x² - 2x + 7

Step-by-step explanation:

Given polynomial

                   (8 x² + 9 ) - (6x² +2x +2)

           =   8 x² +9 - 6x² - 2x -2

          =    8x² - 6x² - 2x + 9-2

         =    2 x² - 2x + 7

The polynomial is   2 x² - 2x + 7

5 0
3 years ago
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