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pav-90 [236]
3 years ago
10

Algebra 2 system of equations

Mathematics
1 answer:
Ahat [919]3 years ago
4 0
6x - y = 31 so y = 6x - 31
substitute y = 6x - 31 into 3x + 7y = 8

3x + 7y = 8
3x + 7(6x - 31) = 8
3x + 42x -217 = 8
45x = 225
x = 5

 y = 6x - 31
 y = 6(5) - 31
 y = 30 - 31
y = -1

answer
x = 5 and y = -1
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The total distance traveled by the robot from t=0 to t=9 is 1422 units

Integration is a way in which smaller components are brought together in pieces to form a whole. Integration can be used in finding areas, volumes and so on.

Given that the position s(t) at any time t is given by the function:

s(t)=9t²−90t+4

The total distance traveled by the robot from t=0 to t=9 can be gotten by integrating the position function within the limits 0< t < 9

Therefore:

Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units

The total distance is 1422 units

Find out more at: brainly.com/question/22008756

7 0
2 years ago
The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a box
Finger [1]

Answer:

Step-by-step explanation:

Box plot is enclosed.

To find out 5 number summary

3.0, 3.5, 4.5, 5.5, 6.5, 6.5, 7.0, 7.0, 7.0, 7.0, 7.0, 7.5, 8.0, 9.0, 9.0, 9.0, 9.5, 9.5, 9.5, 9.5}

Minimum: 3.0

Quartile Q1: 6.5

Median: 7

Quartile Q3: 9

Maximum: 9.5

Besides we find that

Average (mean): μ=7.25

Absolute deviation: 30.5

Mean deviation: 1.525

Minimum: 3.0

Maximum: 9.5

Variance: 3.7125

Standard deviation σ=1.926

4 0
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Step-by-step explanation:

the image linked is showing 4 green whihc means 4x and 12 squares so I multiply 4 x 3 whihc is 12

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2 years ago
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