The other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
<h3>How to determine the solution?</h3>
The equation is given as:
3 − 2|0.5x + 1.5| = 2
Subtract 3 from both sides
-2|0.5x + 1.5| = -1
Divide both sides by -2
|0.5x + 1.5| = 0.5
Expand the equation
0.5x + 1.5 = 0.5 or 0.5x + 1.5 = -0.5
Subtract 1.5 from both sides
0.5x = -1 or 0.5x = -2
Divide both sides by 0.5
x = -2 or x = -4
Hence, the other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
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Slope = m
Equation to find slope is:
m = (y2 - y1) / (x2 - x1)
2 points:
(4,-2) 4 = x1 and -2 = y1
(8,5) 8 = x2 and 5 = y2
So...
m = (y2 - y1) / (x2 - x1)
m = (5 - (-2)) / (8 - 4)
m = 7 / 4 or 1.75
Therefore, the slope of the line is 7/4 OR 1.75.
Answer:
the number is 33 and 35 respectively
Step-by-step explanation:
The computation is shown below:
Let us assume X and X + 2 are the two consecutive odd integers
Now the equation is
(X ÷ 3) = ((X + 2) ÷ 7) + 6
(X ÷ 3) = (X + 2 + 6 × 7) ÷ 7
(X ÷ 3) = (X + 2 + 42) ÷ 7
(X ÷ 3) = (X + 44) ÷ 7
Now do the cross multiplication
7X = 3(X + 44)
7X = 3X + 132
4X = 132
X = 33
And, X + 2 = 33 + 2 = 35
hence, the number is 33 and 35 respectively
3. 3/10 and 5/10 4. 12/20 and 15/20 5.4/8 and 7/8 6. 8/12 and 5/12 7. 3/12 and 2/12. 8. 1/2>2/5 9.1/2 = 3/6 10. 3/4<5/6 11. 6/10=3/5
