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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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Graph the line y=-1/5x-2
olga nikolaevna [1]

Answer:

Can't really show a graph but I'll explain how to:

Step-by-step explanation:

Plot the point (0,-2) since -2 is the y=intercept. After, just count-down 1 unit and count 5 units to the right. I hoped this helped!

4 0
3 years ago
Sofia's taco truck lets customers choose 3 ingredients from the list below to add to their tacos. How many groups of 3 different
DIA [1.3K]

Using the combination formula, and considering that the list has 6 ingredients, it is found that 20 groups of 3 different ingredients can go on a taco.

The order in which the ingredients are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 3 ingredients are chosen from a set of 6, hence:

C_{6,3} = \frac{6!}{3!3!} = 20

20 groups of 3 different ingredients can go on a taco.

To learn more about the combination formula, you can take a look at brainly.com/question/25990169

4 0
2 years ago
Please help me answer this
irga5000 [103]
I think it is -0.125.
It might also be 0.125
4 0
3 years ago
Read 2 more answers
Slope of the line that passes through (3, -11) and (0, 4), please!
Lorico [155]

Answer:

-5

Step-by-step explanation:

slope formula= \frac{y1 - y2}{x1 - x2}

slope of line

=  \frac{4 - ( - 11)}{0 - 3}  \\  =  \frac{4 + 11}{ - 3}  \\  =  \frac{15}{ - 3}  \\  =   - 5

6 0
3 years ago
Which of the following equations can be used to find the length of in the
ANEK [815]

The other leg will be LN² = 33² - 11². Then the correct option is A.

<h3>What is a Pythagoras theorem?</h3>

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The hypotenuse is 33 units and one leg is 11 units.

Then the other leg will be

33² = LN² + 11²

LN² = 33² - 11²

Then the correct option is A.

More about the Pythagoras theorem link is given below.

brainly.com/question/343682

#SPJ1

3 0
1 year ago
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