Answer:
x = - 7, y = 6
Step-by-step explanation:
7x + 7y = - 7 -----> equation 1
- 10x - 7y = 28 -----> equation 2
Add equations 1 & 2,
7x + 7y = - 7
- 10x - 7y = 28
___________
- 3x + 0 = 21
- 3x = 21
x = 21 / - 3
x = - 7
Substitute x = - 7 in equation 1,
7x + 7y = - 7
7y + 7x = - 7
7y + 7 ( - 7 ) = - 7
7y - 49 = - 7
7y = - 7 + 49
7y = 42
y = 42 / 7
y = 6
The average time the car took to reach each checkpoint are:
<h3>Average time</h3>
Given:
Time interval
1 2 3 4
2.02 3.17 4.12 4.93
2.05 3.07 3.98 4.81
2.15 3.25 4.23 5.01
Hence:
First quarter checkpoint
Average time= (2.02 + 2.05 + 2.15) / 3
Average time=6.22/3
Average time= 2.07s
Second quarter checkpoint
Average time= (3.17 +3.07 + 3.25) / 3
Average time=9.49/3
Average time = 3.16 s
Third quarter check point
Average time= (4.12 + 3.98 + 4.23) / 3
Average time=12.33/3
Average time= 4.11 s
Fourth quarter check point
Average time = (4.93 + 4.81 + 5.01) / 3
Average time=14.75/3
Average time= 4.917 s
Average time=4.92s (Approximately)
Therefore the average time the car took to reach each checkpoint are: 2.07, 3.16, 4.11, 4.92.
Learn more about average time here:brainly.com/question/19136062
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Answer: x ≈ 1.59688927, −1.60312387, −4.67045686, 4.69039614, 7.872914, −7.91513776, −10.89002194
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Simplify 2*cosx*(2x+30°) + √3=0
Simplify each term.
Apply the distributive property.
- 2 cos
(
x
) (
2
x
) +
2 cos
(
x
) *
30
° +
√
3
=
0
- Multiply 2 by 2
- 4 cos
(
x
) x + 2 cos
(
x
) *30
°
+
√
3
=
0
- Multiply 30
°by 2
- 4
cos
(
x
) x + 60
cos
(
x
)
+
√
3
=
0
- Reorder factors in 4 cos ( x ) x + 60 cos ( x ) + √3
- 4xcos(x)+60cos(x)+√3=0
- Graph each side of the equation. The solution is the x-value of the point of intersection. x ≈ 1.59688927 , − 1.60312387 , − 4.67045686 , 4.69039614 , 7.872914 , − 7.91513776 , − 10.89002194
Answer:
8
Step-by-step explanation:
The probability of all possible outcomes is always 1, meaning 100%.
In this case the probability of rolling a 1,2,3,4,5, or 6 is:
1/6+1/6+1/6+1/6+1/6+1/6
6(1/6)
6/6
1
