Answer:
The residual value is the difference between the observed value (from the scatter plot) and the predicted value (from the line of best fit).
Step-by-step explanation:
The residual value is the difference between the observed value (from the scatter plot) and the predicted value (from the line of best fit).
Residual Value = Observed Value - Predicted Value
<em>Since the residual value of -4.5 is negative, we can say the predicted value is larger than the observed value. In other words, the line of best fit is "above" the scatter plot point in that specific point.</em>
The error made by zacharias in solving the quadratic equation 0 = -2x² + 5x - 3 using quadratic formula is; the 2 in the numerator should be –2.
<h3>Quadratic equation</h3>
There are four methods of solving quadratic equation. Namely;
- Factorization method
- Completing the square method
- Graphical method
- Formula method
0 = -2x² + 5x - 3
x = -b ± √b² - 4ac / 2a
where,
x = -b ± √b² - 4ac / 2a
x = -5 ± √5² - 4(-2)(-3) / 2(-2)
= -5 ± √25 - (24) / -2
= -5 ± √1 / -2
= -5/2 ± 1/2
= -5/2 - 1/2 or x = -5/2 + 1/2
= -5-1 / 2 or -5+1/ 2
x = -6/2 or -4/2
x = -3 or -2
Therefore, the solution to the quadratic equation is x = -3 or -2
Learn more about quadratic equation:
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Multiply the dimensions by 3 to convert to feet.
12 x 3 = 36 ft.
15 x 3 = 45 ft.
the dimensions are 36 ft. x 45 ft.
Answer:
4x - 12 = 28
To isolate 4x, we add 12 to both sides:
4x - 12 + 12 = 28 + 12
so
4x = 40
Now we divide 4 from both sides:
x = 40 / 4
so x = 10