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Dimas [21]
3 years ago
9

Need help with this equation

Mathematics
2 answers:
NeX [460]3 years ago
4 0

Answer:

D. 28x + 14 + 3 = - 67

Step-by-step explanation:

Given 7 ( 4x + 2 )  + 3 = - 67

our first step would be to distribute the 7

7 * 4x = 28x

7 * 2 = 14

we would be left with 28x + 14 + 3 = -67 which corresponds with "D"

MariettaO [177]3 years ago
4 0

2+3=5

28x+5=-67

28x+5-5=-67-5

28x=-72

-72/28= -18/7

-18/7 as a mixed number would be -2 4/7

x = - 2 4/7

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Find the average velocity of the function over the given interval.
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Answer:

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              =  log(\frac{7}{4} ) -2

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given function y = 3/x -2 ...(i)

The average velocity of the function over the given interval

             Average velocity  = \frac{1}{b-a} \int\limits^b_a {(\frac{3}{x} -2)} \, dx

                               =    \frac{1}{7-4} \int\limits^7_4 {(\frac{3}{x} -2)} \, dx

now integrating

                           =   \frac{1}{3}( \int\limits^7_4 {(\frac{3}{x} )} \, dx-2\int\limits^7_4 {1} \, dx )

                           = \frac{1}{3} (3 (log x) - 2 x )_{4} ^{7}

                        =   \frac{1}{3}( (3 (log 7) - 14 )-(3 log 4 -8))

by using formulas

                 log a-log b = log(a/b)

  on simplification , we get                  

                 = \frac{1}{3}( (3 (log 7) -3 log 4 ) - \frac{1}{3} (6)

                = log(\frac{7}{4} ) -2

Average velocity of the function over the given interval

              =  log(\frac{7}{4} ) -2

 

 

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Step-by-step explanation:

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