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Alchen [17]
2 years ago
10

The cell phone bill recorded that Jeremiah sent 532 text messages last week. On average

Mathematics
2 answers:
nadezda [96]2 years ago
8 0

Answer:

76 sent text messages per day.

Step-by-step explanation:

The question above is answered below.

Average of a dataset is obtained by the ratio of total sum of dataset and number of observations.

In this case, average text messages sent equals total sent text messages divide by number of days in a week. Thus:

average =  \frac{532}{7}

average = 76 \: text \: messages

Having recorded 532 sent text messages last week; on average, Jeremiah sent 76 text messages each day.

Kipish [7]2 years ago
7 0

Answer: 76

Step-by-step explanation:

create an equation

the average each day is how many messages there are each day, so you would divide the total messages evenly to get the messages per day

average = total message / num days

finding values to use in formula

the total messages is given = 532

num days = 7 because there are 7 days in a week

plug in to solve

solving the formula

average = total messages/num day

average = 532/7 = 76

final answer

76 text messages each day

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Answer:

A.\ y = x^2 - 6x + 13 is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

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

where (h,k) is the vertex of the parabola and

(x,y) are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of x^{2} is positive.

Let a = +1

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

\therefore h = 3

Putting value of a and h in the equation:

y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k

Formula used: (a-b)^2=a^{2} +b^{2} -2\times a \times b

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing y = x^2 - 6x + 13 and y = x^2-6x+9+k

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is A.\ y = x^2 - 6x + 13

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