Answer:
D) x = -2/3 and x = 6
Step-by-step explanation:
4(x²−x+2)−(x+10)(x+2) Distribute
(4)(x²) + (4)(−x) + (4)(2) + − x² + −12x + −20 Multiply
4x² + −4x + 8 + −x² + −12x + −20 Combine like terms
(4x² + −x²) + (−4x + −12x) + (8 + −20) Combine like terms
3x² −16x −12 = 0
x = -2/3 and x = 6
I graphed the equation on the graph below.
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Answer:
1. Use a compass to make arc marks which intersect above and below then connect.
2.
Step-by-step explanation:
1. To construct a perpendicular line, use a compass to draw arc marks from one end of the segment through point P. Then repeat this again at the other end. This means at point P there will be two intersecting arc marks. Repeat the process down below with the same radius as used above. Then connect the two intersections.
2. The point slope form of a line is where
. We write
Since the line is to be perpendicular to the line shown it will have the negative reciprocal to the slope of the function 3x+y =-8. To find m, rearrange the function to be y=-8-3x. The slope is -3 and the negative reciprocal will be 1/3.
Simplify for slope intercept form.
We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:
The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:
Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:
Where (from tables):
Finally, the interval at 98% confidence level is:
