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Rudik [331]
3 years ago
9

at a baseball game, a vender sold a combined total of 138 sodas and hotdogs. the number of sodas sold was 30 more than the numbe

r of hot dogs sold. find the number of sodas sold and the number of hot dogs sold
Mathematics
1 answer:
kiruha [24]3 years ago
8 0

108 sodas, you subtract the 30 from the 138 and thus 108.
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Find the average value of the function f(t)=(t-2)^2 on [0,6]
pentagon [3]

Answer:

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Step-by-step explanation:

The "average value of function f(x) on interval [a, b] is given by:

                      f(b) - f(a)

ave. value = ---------------

                         b - a

Here f(t)=(t-2)^2.

Thus, f(b) = (b - 2)^2.  For b = 6, we get:

          f(6) = 6^2 - 4(6) + 4, or f(6) = 36 - 24 + 4 = 16

For a = 0, we get:

           f(0) = (0 - 2)^2 = 4

Plugging these results into the ave. value function shown above, we get:

                      16 - 4

ave. value = ------------ = 12/6 = 2

                         6 - 0

The average value of the function f(t)=(t-2)^2 on [0,6] is 2.


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3 years ago
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grigory [225]

Answer and Step-by-step explanation:

The answer is the last answer choice.

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We don't even have to look at the numbers to tell that this is the correct answer. We look at what is being placed there.

The equation for a transformed function is:

f(x) = a(x-h)^2 + k

a determines the scale of the graph and whether the graph opens up or down.

h determines whether the graph shifts left or right.

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We see that there is a -1 for a, which means the graph will be facing downwards. We see a 2 for where h is, but it really is a -2, and when it becomes a positive after simplifying, the graph will shift to the left.

k is a positive 1, so the graph will be shifted up 1 unit.

<u>Thus, the answer is the last answer choice.</u>

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<em><u>#teamtrees #PAW (Plant And Water)</u></em>

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