Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x - 2y = - 3 into this form
Subtract x from both sides
- 2y = - x - 3 ( divide all terms by - 2 )
y =
x +
← in slope- intercept form
with m = 
• Parallel lines have equal slopes, thus
y =
x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = -
+ c ⇒ c = 2 +
= 
y =
x +
← in slope- intercept form
Multiply through by 2
2y = x + 5 ( subtract 2y from both sides )
0 = x - 2y + 5 ( subtract 5 from both sides )
- 5 = x - 2y, thus
x - 2y = - 5 ← in standard form
(3x² -7x⁴) from (5x² - 3x⁸)
= 5x² - 3x⁸ - (3x² -7x<span>⁴ )
= </span> 5x² - 3x⁸ - 3x² + 7x<span>⁴
= </span>- 3x⁸ + 7x⁴ + 5x² <span>- </span><span>3x²
</span>
= - 3x<span>⁸ </span>+ 7x⁴ + 2x<span>²</span>
The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.
<h3>How to estimate the speed of the moving walkway relative to the airport terminal?</h3>
Let x be the speed of the walkway.
(2.8 + x) = speed of child moving in direction of the walkway
(2.8 - x) = speed of child moving against the direction of the walkway
Travel time = distance/speed
Travel time of child moving in direction of walkway = 23/(2.8+x)
Total elapsed time given = 29s
23/(2.8 + x)+ 23 / (2.8-x) = 29
LCD = (2.8 + x)(2.8 - x)

simplifying the equation, we get




Speed of walkway = 1.84 m/s
The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.
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Answer:
option (b) df = 1, 24
Step-by-step explanation:
Data provided in the question:
levels of factor A, a = 2
levels of factor B, b = 3
Subjects in each Sample, s = 5
n = 5 × 3 × 2 = 30
Now
df for Factor A = a - 1
= 2 - 1
= 1
df for Factor B = b - 1
= 3 - 1
= 2
df for Interaction AB = ( a - 1 ) × ( b - 1 )
= 1 × 2
= 2
df for Total = n - 1
= 30 - 1
= 29
df for error = 29 - 5
= 24
Hence,
df values for the F-ratio evaluating the main effect of factor A is 1, 24
The correct answer is option (b) df = 1, 24