Answer: x only can have complex values, not real values.
x = -1/4 - 1/4i and x = -1/4 + 1/4 i
Explanation:
Finding the possible values of x in the expression given is solving the quadratic equation.
8x² + 4x = - 1
Rearrange the terms:
8 (x² + x/2) = - 1 ← common factor 8 in the left side
x² + x/2 = - 1/8 ← division property
x² + x/2 + 1/16 = - 1/8 + 1/16 ← addition property
(x + 1/4)² = -1/8 + 1/16 ← -factor the perfect square trinomial in the left side
(x + 1/4)² = - 1/16 ← add the fractions in the right side
x + 1/4 = (+/-) √ (-1/16) ← square roots on both sides
x + 1/4 = (+/-) (1/4)i ← complex solution
x = - 1/4 +/- 1/4i
x = - 1/4 - 1/4i and x = - 1/4 + 1/4 i ← answer
I'm not sure if that's the correct method of finding that (it could be, I was just never shown that kind of method). What I did was multiply everything out, that way you have two numbers vs two equations. Then add those two numbers and turn that into scientific notation.
Answer:
volume of cylinder: 55.4 cm³
Step-by-step explanation:
volume of cylinder is π * radius² * height
here given radius is 1.4 cm and height is 8 cm
using the formula:
π * 1.4² * 9
55.42 cm³
55.4 cm³ ...if rounded to nearest tenth.
Answer:
1.16 to 2.75
Step-by-step explanation:
The mean salary (millions of dollars) for shortstops was 1.95.
The population mean for all baseball players was 1.85
The population standard deviation was 1.61.
Formula of confidence interval :
to 
z at 95% confidence level = 1.96
Substitute the values in the formula
Confidence interval :
to 
Confidence interval : 1.16 to 2.75
Hence the 95 percent confidence interval for these data is 1.16 to 2.75
I have no idea I’m so sorry
