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Vlad1618 [11]
2 years ago
10

Given the following function, find h(3). h(t) = t2 − t + 7

Mathematics
1 answer:
g100num [7]2 years ago
7 0

Answer:

Step-by-step explanation:

h(t) = t² - t + 7

h(3) = 3² - 3 + 7 = 9 - 3 + 7 = <em>13</em>

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Find the maximum and the minimum value of the following objective​ function, and the value of x and y at which they occur. The f
kumpel [21]

Answer:

The maximum value of the objective function is 112 when x = 0 and y = 7.

Step-by-step explanation:

Given the constraints:

5x+3y≤37, 3x+5y≤35, x≥0, y≥0

Plotting the above constraints using geogebra online graphing tool, we get the solution to the constraints as:

A(0, 7), B(7.4, 0), C(5, 4) and D(0, 0)

The objective function is given as E =2x+16y, therefore:

At point A(0, 7):  E = 2(0) + 16(7) = 112

At point B(7.4, 0): E = 2(7.4) + 16(0) = 14.8

At point C(5, 4): E = 2(5) + 16(4) = 74

At point D(0, 0): E = 2(0) + 16(0) = 0

Therefore the maximum value of the objective function is at A(0, 7).

The maximum value of the objective function is 112 when x = 0 and y = 7.

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2 years ago
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<h3>What is a Qualitative and a Quantitative Data?</h3>

A quantitative data can be described as a type of data that you can measure or counted, and also given a numerical value to, while a qualitative data is a type of data that cannot be expressed using numbers.

Examples of quantitative data include, number of students in a class, weight of students in a class, etc.

Examples of qualitative data include hair color, religion, nationality, etc.

Expenses of respondents can be given numerical values, therefore, expenses of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

Learn more about quantitative data on:

brainly.com/question/96076

#SPJ1

6 0
11 months ago
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