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igor_vitrenko [27]
2 years ago
12

Aliana surveyed students on her bus about their homework . The results are

Mathematics
1 answer:
Andrei [34K]2 years ago
7 0
What are the results ?
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Use geometry to evaluate the integral from 0 to 6 of the function f of x, dx for f of x equals 3 for x less than or equal to 3 a
allochka39001 [22]
Check the picture below.

\bf f(x)=
\begin{cases}
3&x\le 3\\
6-x&x\ \textgreater \ 3
\end{cases}\qquad \displaystyle \int_{0}^{6}~f(x)\cdot dx

so, you simply have a 3x3 square and a triangle with a base of 3 and a height of 3, get their areas, sum them up, it'd come out to 9 + 4.5 or 13.5.

6 0
3 years ago
3x - 4y = 7
Alina [70]
      3x - 4y = 7
    -(3x + 2y = -5)

=     0 - 6y = 12
          -6y = 12
             y = -2
The resulting equation would be y = -2.

4 0
2 years ago
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What does 5/6 equal as a decimal?
AlexFokin [52]
Hi there! To turn a fraction into a decimal we divide the numerator by the denominator. So, we have the fraction 5/6 where 5 is the numerator and 6 is the denominator. 5÷6=0.8333 repeating. Therefore, 5/6 as a decimal is 0.8333
6 0
3 years ago
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Brady has collected the following data. 11, 15, 15, h, 11. If the range of Brady's data is 9, what is the value of h?
tankabanditka [31]
To find the value of h, you will order the data and then determine if there is enough information to find the missing value knowing that from the beginning of the data to the end is a range of 9.

11, 11, 15, 15, ____ (20)

or

(6)_____, 11, 11, 15, 15

The missing value of h could be 9 or 20.
8 0
3 years ago
A phone company charges $0.50 per minute and a connection fee of $1. If you were to represent the total cost y of an x minute ca
klasskru [66]

Answer:

Per minute value fee would be the slope of the line.

Step-by-step explanation:

Given:

Per minute charges by the phone company = $ 0.50

Connection fee (fixed) charged by company = $ 1.0

We have to represent the total cost in terms of y and also explain the slope of the line.

According to the question:

Let the number of minutes be "x" .

And the total cost charged be "y" .

So,

The total cost = (No. of minutes)(Per minute charge) + Connection fee

Re-arranging in term of x and y.

⇒ total\ cost = (no.\ of\ minutes)(per\ minute\ charge) + connection\ fee

⇒ y=0.50(x)+1   ...equation (i)

Slope- intercept form: y=m(x) +b  m is the slope and b is the y-is   intercept.

⇒ Comparing equation (i) with the slope- intercept form.

⇒ m=0.50  and  b=1

So,

The slope of the line is 0.50 which is also represented by the per minute value of the call.

Per minute value fee would be the slope of the line.

4 0
3 years ago
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