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il63 [147K]
2 years ago
7

The graph shows the amounts customers pay for x pounds of cheese at a deli counter. Customers pay a certain price per pound up t

o exactly 5 pounds.
If a customer buys more than 5 pounds, then the price per pound for the entire purchase is discounted.

A function that consists of a line segment and then a ray. The two pieces are not connected. The line segment begins at the origin and ends at the point 5 comma 25 inclusive. The ray begins at the point 5 comma 20, non inclusive, and passes through the point 10 comma 40.

Complete the following by entering a number or expression in each box.

A piecewise-defined function for the graph is

f(x) =
, 0 < x ≤



, x >


Customers who buy up to 5 pounds pay $
per pound.

Customers who buy more than 5 pounds pay $20 for the first 5 pounds. They pay $
per pound for each pound over 5 pounds.
Mathematics
1 answer:
kiruha [24]2 years ago
4 0
The answer should be 4
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The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 &lt; T &lt; 36 , where T is
antoniya [11.8K]

Answer:

N(T(t)) = 1408t^2 - 385.6t - 105.52

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

N(T(t)) = 22 * (8t + 1.7)^2  - 123 * (8t + 1.7) + 40

N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40

N(T(t)) = 1408t^2 + 598.4t + 63.58 -  984t - 169.1

N(T(t)) = 1408t^2 - 385.6t - 105.52

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

8019 = 1408t^2 - 385.6t - 105.52

1408t^2 - 385.6t - 8124.52 = 0

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0
3 years ago
Write an equation of the lime that passes through (3,7) and is parallel to the line shown
GrogVix [38]

Answer:

y=2x+1

Step-by-step explanation:

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4 0
3 years ago
A second number is 9 times a first number. A third number is 100 more than the first number. If the sum the three numbers is 694
Ierofanga [76]

Answer:

54, 486, 154

Step-by-step explanation:

x+9x+100+x= 694

11x= 694-100

11x=594

x= 54

54×9=486

54+100= 154

54+486+154=694.

7 0
3 years ago
How many pairs of prime numbers have a sum of 24?​
Kitty [74]

Answer:

Three pairs of prime numbers exist: 5 + 19 = 24, 7 + 17 = 24, 11 + 13 = 24.

Step-by-step explanation:

hope this helps :)

5 0
2 years ago
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Answer:

platform

Step-by-step explanation:

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