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Alexxx [7]
2 years ago
12

The number of customers in a grocery store is modeled by the function y -X? + 10x + 50, where y is

Mathematics
1 answer:
vova2212 [387]2 years ago
7 0

Using the vertex of the quadratic function, it is found that:

a) The maximum number of customers in the store is at 12 P.M.

b) 75 customers are in the store at this time.

The number of customers in x hours after 7 AM is given by:

y = -x^2 + 10x + 50

Which is a quadratic equation with coefficients a = -1, b = 10, c = 50

Item a:

The maximum value, considering that a < 0, happens at:

x_v = -\frac{b}{2a}

Hence:

x_v = -\frac{10}{2(-1)} = 5

5 hours after 7 A.M, hence, the maximum number of customers in the store is at 12 P.M.

Item b:

The value is y(5), hence:

y(5) = -(5)^2 + 10(5) + 50 = 75

75 customers are in the store at this time.

A similar problem is given at brainly.com/question/24713268

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mariarad [96]

Answer:

Step-by-step explanation:

ε = {x: 2≤ x ≤30}

M = { even numbers} = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

P = { prime numbers} = {2,3,5,7,11,13,17,19,23,29}

T = {odd numbers} = {3, 5, 7, 9, 11,13,15,17,19,21,23,25,27,29}

1. M ∪ P = {2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30}

2. M - T =

n(M) - n(T)

15- 14 = 1

3. P(MT)

(MT) = M ∩ T = 0

P ∪ (M ∩ T ) = {2,3,5,7,11,13,17,19,23,29}

4. P' = not a prime number

T' = not odd number = M

P' ∪(M∩T')

P' ∪ {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

= {2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

6 0
3 years ago
a pie chart is divided into four sectors in fig. 12.42. Each sector represents a percentage of the whole. The two larger sectors
Novosadov [1.4K]

Answer:

Angle formed by the sector measuring x% will be 126°.

Step-by-step explanation:

Since, sum of all sectors formed in a circle is 100%.

By adding the measures of all the sectors,

x + x + 21 + 9 = 100

2x + 30 = 100

2x = 70

x = 35%

Now we know sum of all the central angles formed at the center of a circle = 360°

Therefore, angle formed by x% = 360° × 35%

                                                    = \frac{360\times 35}{100}

                                                    = 126°

8 0
3 years ago
The leg of the isosceles triangle is two less than three times the length of its base. If the perimeter of the triangle is 45 m,
choli [55]

Answer:

19 m

Step-by-step explanation:

base=x

leg=3x-2

3x-2+3x-2+x=45

7x-4=45

7x=49

x=7

leg=3x+2=3(7)-2=19

7 0
2 years ago
368 base 9 plus 788 base 9
anygoal [31]

Answer:

1267

Step-by-step explanation:

and and here is your answer. you're welcome.

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7 0
2 years ago
Eight more than x is at least fourteen. what is the solution set for x?
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X + 8 >= 14
x >= 14 -8
x> = 6
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