Answer: you have to see how many gallons fill the container per minute, so take 3/4 and divide it by 1/5, which gives 15/4. So he multiplied the two numbers instead of dividing.
Step-by-step explanation:
Answer:
Option D)
Step-by-step explanation:
If the graph of the function
represents the transformations made to the graph of
then, by definition:
If
the graph moves vertically b units up
If
the graph moves vertically b units down
If
the graph moves horizontally h units to the left
If
the graph moves horizontally h units to the rigth
In this problem we have the function
and our parent function is ![g(x) = 2^x](https://tex.z-dn.net/?f=g%28x%29%20%3D%202%5Ex)
therefore it is true that
and ![h= 0](https://tex.z-dn.net/?f=h%3D%200)
Then "The graph of f(x) is shifted k units below the graph of g(x)".
The answer is Option D)
_________________________________________________
<u><em>Note:</em></u>
If the function are:
![g(x) = 2^x\\\\f(x) = 2^{x+k}](https://tex.z-dn.net/?f=g%28x%29%20%3D%202%5Ex%5C%5C%5C%5Cf%28x%29%20%3D%202%5E%7Bx%2Bk%7D)
Then
and
. This means that the function f(x) shifts k units to the right of the function g(x)
And the answer would be the option B)
A.
Both halves created by the line of symmetry are equal in diagram A.
Answer:
61°
Step-by-step explanation:
EOF + FOG = EOG
EOF = 18°
EOG = 79°
EOF + FOG = EOG
FOG = EOG - EOF
FOG = 79° - 18°
FOG = 61°
Hence, m/_FOG = 61°
375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased
Step-by-step explanation:
Let x be the number lower reserved tickets
and
y be the number of upper reserved tickets
Then according to given statements
![x+y = 740\ \ \ \ Eqn\ 1\\9.50x+8y = 6482.50\ \ \ \ Eqn\ 2](https://tex.z-dn.net/?f=x%2By%20%3D%20740%5C%20%5C%20%5C%20%5C%20Eqn%5C%201%5C%5C9.50x%2B8y%20%3D%206482.50%5C%20%5C%20%5C%20%5C%20Eqn%5C%202)
From equation 1:
![x = 740-y](https://tex.z-dn.net/?f=x%20%3D%20740-y)
Putting in equation 2
![9.5(740-y)+8y = 6482.50\\7030-9.5y+8y = 6482.50\\7030-1.5y = 6482.50](https://tex.z-dn.net/?f=9.5%28740-y%29%2B8y%20%3D%206482.50%5C%5C7030-9.5y%2B8y%20%3D%206482.50%5C%5C7030-1.5y%20%3D%206482.50)
Subtracting 7030 from both sides
![7030-7030-1.5y = 6482.50-7030\\-1.5y=-547.5](https://tex.z-dn.net/?f=7030-7030-1.5y%20%3D%206482.50-7030%5C%5C-1.5y%3D-547.5)
Dividing both sides by -1.5
![\frac{-1.5y}{-1.5} = \frac{-547.5}{-1.5}\\y = 365](https://tex.z-dn.net/?f=%5Cfrac%7B-1.5y%7D%7B-1.5%7D%20%3D%20%5Cfrac%7B-547.5%7D%7B-1.5%7D%5C%5Cy%20%3D%20365)
Putting y = 365 in equation 1
![x+365 = 740\\x = 740 - 365\\x = 375](https://tex.z-dn.net/?f=x%2B365%20%3D%20740%5C%5Cx%20%3D%20740%20-%20365%5C%5Cx%20%3D%20375)
Hence,
375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased
Keywords: Linear equations, Variables
Learn more about linear equations at:
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