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Citrus2011 [14]
3 years ago
5

The graphs below have the same shape. What is the equation of the blue

Mathematics
1 answer:
Elena-2011 [213]3 years ago
5 0

Answer:

If the attached graph is the one you mean, the answer is g(x) = (x-4)^2 + 1

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One car rental company charges $30 per day plus $0.25 per mile driven. A second company changes $40 per day plus $0.10 per mile
EastWind [94]
30 + 0.25m > 40 + 0.10m
0.25m - 0.10m > 40 - 30
0.15m > 10
m > 10/0.15
m > 67 miles.....u would have to drive 68 or more miles for the second company to be less expensive
3 0
3 years ago
7. Eddicycle Cycle Shop sells the Ultra Extreme X mountain bike for $179.98. Kammie Cycles sells the same
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3 years ago
Sin A tan A/ 1 - cos A = 1+ sec A​
aalyn [17]

\text{L.H.S}\\\\=\dfrac{\sin A \tan A}{1- \cos A}\\\\\\=\dfrac{\sin A \cdot \tfrac{\sin A}{\cos A} }{ 1- \cos A}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\tan A = \dfrac{\sin A }{\cos A}\right]\\\\\\=\dfrac{\tfrac{\sin^2 A}{ \cos A}}{1- \cos A}\\\\\\=\dfrac{\sin^2 A}{\cos A(1-\cos A)}\\\\\\=\dfrac{1-\cos^2 A}{\cos A( 1- \cos A)}~~~~~~~~~~~~~~~~~~~~~~~~;[\sin^2 A + \cos^2 A = 1]\\\\\\

=\dfrac{(1+ \cos A)(1 - \cos A)}{\cos A(1 - \cos A)}\\\\\\=\dfrac{1+ \cos A}{ \cos A}\\\\\\=\dfrac{1}{\cos A} + \dfrac{\cos A}{ \cos A}\\\\\\=\sec A + 1 \\\\\\=1+ \sec A\\\\\\=\text{R.H.S}\\\\\text{Proved.}

8 0
2 years ago
3x+4y=17.50<br> 7x+1y=17.00
nikdorinn [45]
7x+1y = 17.00 can be simplified to  y = -7x +17
<span>-7x +17 can then be substituted  for y in 3x+ 4y =17.50
</span>3x+4(y) = 17.50
3x+ 4(-7x +17) = 17.50

From here you can solve for X
<span>3x + 4(-7x +17) = 17.50
</span>3x -28x + 68     =  17.50
  -25x    + 68     =  17.50
              -68           -68
  -25x                =   -50.50
   ÷-25                     ÷-25
      X                 =   2.02

You can then replace x with 2.02 in the original 7x + 1y = 17.00 to solve for y.

7(x)      + 1y = 17.00
7(2.02) +  y  = 17.00
14.14    +  y =  17.00
-14.14              -14.14
                 y =  2.86

Then substitute 2.02 for x and 2.86 for y in the original 3x+ 4y = 17.50 to check.
3(x)      +   4(y)       =   17.50
3(2.02) +   4(2.86)  =   17.50
6.06      +   11.44    =   17.50
           17.50           =    17.50
So
X = 2.02
and
Y = 2.86
or the solution set is (2.02, 2.86)

Hope this helps
5 0
3 years ago
An English class has read the first 384 pages of their novel.
KatRina [158]
384/ 0.75 = 512

Check your answer by setting up the problem 384/512 = 0.75.                                                                                                                                        

5 0
3 years ago
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