Can someone please help me with absolute value? It has to eb turned in tonight and I don't understand how to solve.. I would rea
lly appreciate it!!!
1 answer:
Answer:
a. |x - 1.5| < 0.125
b. -0.125 < x - 1.5 < 0.125
c. 1.375 < x < 1.625
d. Bolt has to be greater than 1.375 inches and less than 1.625 inches to be within the margin of error of 0.125 inches.
e. One acceptable length for a bolt is 1.4 inches.
f. One non-acceptable length for a bold is 1.7 inches.
Step-by-step explanation:
Solve for x:
-0.125 < x - 1.5 < 0.125
-0.125 < x - 1.5 and x - 1.5 < 0.125
1.375 < x x < 1.625
Write this as: 1.375 < x < 1.625
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Answer:
Step-by-step explanation:
<u>Sinusoid</u>
The shape of a sinusoid is well-know because it describes a curve with a smooth and periodic oscillation. The sine and cosine are the two trigonometric functions in which the graph matches the description of a sinusoid. The sine can be identified because its value is zero at time zero.
The graph shown in the figure corresponds to a sine. The other characteristics of the sine function are
* It completes a cycle in radians
* It has a maximum of 1 and a minimum of -1
* It's increasing for a quarter of the cycle, decreasing for half of the cycle, and increasing for the remaining quarter of the cycle
* The equation is
The function starts decreasing for the first quarter, which only is possible if the amplitude A is negative. We can also see the maximum and minimum values are 2 and -2 respectively. This means the amplitude is A=-2
We can also see the function completes 3 cycles in radians or 6 cycles in
radians. Or, equivalently
Thus, the function can be expressed as
Answer
A. Many solution
Step by step explanation
Points on line 1 : (-3, 6) and (3, 4)
Points on line 2: (-6, 7) and (9, 2)
Now let's find the slope of the line 1
Slope formula =
Slope of line 1 = (4 - 6) / (3 - (-3)
= -2/(3 + 3)
= -2/6
Slope of line 1 = -1/3
The equation of the line y - y 1 = m(x - x1)
y - 6 = -1/3 (x - (-3))
y -6 = -1/3 (x + 3)
y -6 = -1/3x - 1
y = -1/3x + 5
Slope of line 2 = (2 - 7) / (9 -(-6))
= -5/(9 + 6)
= -5/15
Slope of line 2 = -1/3
The equation of line
y - y1 = m(x - x1)
y - 7 = -1/3(x - (-6))
y - 7 = -1/3(x + 6)
y -7 = -1/3 x - 2
y = -1/3 x + 5
The line 1 and line 2 have the same slopes and the same y-intercept. Both are the same equation. Therefore, there will be many solution.
Answer : A. 0 Solution
Thank you.