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:
x = -5/3, y = -1 or
Step-by-step explanation:
Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.
Equation 1: 3y - 6x = 7
Equation 2: -4y - 3x = 9
<h3>Step 1: Multiply Equation 2 by -2:</h3>
(-2)(-4y - 3x) = 9 (-2)
8y + 6x = -18
<h3>Step 2: Add "8y + 6x = -18" to Equation 1:</h3>8y + 6x = -18
+ 3y - 6x = 7
11y = -11
<h3>Step 3: Divide both sides by 11 to solve for y:</h3>y = -1
<h3>Step 4: Substitute y = -1 into Equation 2 to solve for x: </h3>-4(-1) - 3x = 9
4 - 3x = 9
<h3>Step 5: Subtract 4 from both sides:</h3>4 - 4 - 3x = 9 - 4
- 3x = 5
<h3>Step 6: Divide both sides by -3 to solve for x:</h3>Verify whether the values for x and y are correct by substituting their values into both equations:
x = -5/3, y = -1
Equation 1: 3y - 6x = 7
-3 + 10 = 7
7 = 7 (True statement).
Equation 2: -4y - 3x = 9
-4(-1) - 3 (-5/3) = 9
4 + 5 = 9
9 = 9 (True statement).
Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.