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ivann1987 [24]
2 years ago
13

The function f(x) = −x2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number

of sodas sold.
Determine the vertex, and explain what it means in the context of the problem.

A- (12, 16); The vertex represents the maximum profit.

B- (12, 16); The vertex represents the minimum profit.

C- (14, 4); The vertex represents the maximum profit.

D- (14, 4); The vertex represents the minimum profit.
Mathematics
1 answer:
Rudik [331]2 years ago
4 0

9514 1404 393

Answer:

  C- (14, 4); The vertex represents the maximum profit.

Step-by-step explanation:

The leading coefficient of the quadratic function is negative, so the graph opens downward, and the vertex represents a maximum.

The maximum value is at ...

  x = -b/(2a) = -28/(2(-1)) = 14

  f(14) = -14^2 +28(14) -192 = 4

The vertex is (14, 4). It represents the maximum profit.

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Felix's parents opened a savings
Crazy boy [7]

The money in the Felix's account will be $6798 when he is 21.

<u>Step-by-step explanation:</u>

It is given that,

  • The amount deposited is $2000.
  • The account earns 6%  compound interest.
  • It is compounded  annually for 21 years.

<u>To find the money in Felix's account after 21 years :</u>

The formula used here is,

⇒ A = P(1+r/n)^{nt}

where A is the amount after 21 years.

  • P is the initial amount deposited ⇒ P = 2000
  • r is the rate ⇒ r = 0.06
  • n is the number of times interest is compounded per year⇒ n = 1
  • t is the time period ⇒ t = 21

⇒ 2000(1+0.06/1)^{21\times 1}

⇒ 2000(1.06)^{21}

⇒ 2000\times3.399

⇒ 6798

Therefore, The money in the Felix's account will be $6798 when he is 21.

4 0
3 years ago
3. Which pair of quantities form a proportional relationship? ​
pychu [463]
C
D

Reason: their ratio is 1


Mark brainliest please
8 0
2 years ago
It takes 4 3/8 cups of cheese,7/8 cups of olives,and 2 5/8 cups of sausage to make a signature pizza. How much cheese is needed
Crank

43\frac{3}{4} cups of cheese is needed to make 10 pizzas.

<u><em>Explanation</em></u>

For making one pizza, amount of cheese needed = 4\frac{3}{8} cups = \frac{35}{8} cups.

Now for finding the total amount of cheese needed to make 10 pizzas, we need to <em>multiply \frac{35}{8} cups by 10. </em>

So, (\frac{35}{8}*10)cups= \frac{350}{8}cups= \frac{175}{4}cups= 43\frac{3}{4} cups

Thus, 43\frac{3}{4} cups of cheese is needed to make 10 pizzas.

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3 years ago
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2 years ago
Noah's giant water bottle contains 60 fluid ounces. Noah drank 24 fluid ounces of the water. What percent of the water did Noah
saul85 [17]

Answer: 40

Step-by-step explanation:

40 percent of 60 is 24

6 0
3 years ago
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