Answer:
unlikey
Step-by-step explanation:
If you're comparing 1.435 * 10^(-3) mm to 1.435 * 10^3 mm, then the more reasonable measurement is 1.435 * 10^3 mm since,
1.435 * 10^3 mm = 1435 mm = 1.435 meters
1 meter is about 3.28 feet approximately
So 1.435 meters is slightly larger (about 4.708 feet) which is a fairly reasonable distance between the tracks on a railroad.
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Something like 1.435 * 10^(-3) mm is equal to 0.001435 mm, which is far less than 1 mm.
Answer:
The equation 'y = y + 1' represents NO SOLUTION.
Hence, option 'C' is true.
Step-by-step explanation:
a)
6a = 9a
subtract 9a from both sides
6a - 9a = 9a - 9a
-3a = 0
divide both sides by -3
-3a / -3 = 0/-3
Simplify
a = 0
b)
5x = 28
divide both sides by 5
5x/5 = 28/5
x = 28/5
c)
y = y + 1
subtract y from both sides
y - y = y+1-y
0 = 1
These sides are not equal, so
NO SOLUTION!
d)
y + 5 = 12
subtract 5 from both sides
y + 5 - 5 = 12 - 5
y = 7
Conclusion:
Therefore, the equation 'y = y + 1' represents NO SOLUTION.
Hence, option 'C' is true.
The vertex of the given quadratic polynomial function is (6, 8)
A quadratic polynomial function is the one which can be represented in the form ax² + bx + c = y where a, b and c are coefficients and x, and y are independent and dependent variables respectively. A parabola is formed when the quadratic polynomial is plotted on graph. The x coordinate of the vertex can be found using formula (-b/2a) and y coordinate can be found by putting the value of x in the equation.
Given polynomial function x² - 12x + 44
Now, x = (-b/2a)
x = (12/2)
=> x = 6
Now, y = 6² - 12×6 + 44
y = 36 - 72 + 44
=> y = 8
Therefore, Vertex = (6, 8)
Learn more about Vertex of quadratic polynomial at:
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Given the functions
(a) f(x) = x³ + 5x² + x
(b) f(x) = x² + x
(c) f(x) = -x
Function (a)
f(-x) = (-x)³ + 5(-x)² + (-x)
= -x³ + 5x² - x
= -(x³ - 5x² + x)
The function is neither even nor odd.
Function (b)
f(-x) = (-x)² + (-x)
= -(-x² + x)
The function is neither even nor odd.
Function (c)
f(-x) = -(-x)
= x
= -f(x)
Because f(-x) = -f(x) the function is odd.
Answer: f(x) = -x is an odd function.