Transpose all the terms in the left hand side of the equation. The equation then becomes,
8x² - 22x - 6 =0
Divide both sides of the equation by 2,
4x² - 11x - 3 = 0
In this equation, A = 4, B = -11, and C = -3
With the variables identified, the quadratic equation can be used to identify the roots,
x = (-B +/- √B² - 4AC) / 2A
The values of x in the equation are,
<em> x = 3 and x = -1/4
</em><em />Thus, the one of the answer to this item is the third choice, x = 3. <em>
</em>
It could be D or C
The system has two solutions
x = .8 y = .6
OR if you think about it , (x=.8 y=.6) could be considered THE solution.
I would go with choice C
If you multiply 268 with 6, you get 1608 as your answer.
Answer:
The more experiments that are done, the more the theoretical trend is marked
Step-by-step explanation:
The first thing is to define each probability,
-Theoretical probability is a proportion that expresses the ways to be successful in the total events of an experiment.
-Experimental probability is the proportion of the proposed result for the number of experimental attempts.
Based on this, the reason that best supports this is that the more the experiment is repeated, the closer the experimental probability gets to the theoretical one, since as the number of attempts increases, it tends to go more to what theoretically is what would happen.
Answer:
13.86 ft
Step-by-step explanation:
This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.
The height of the pole is the side opposite to the angle 60°.
The trigonometric function states that for a right angled triangle:
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent
To find the height of the flagpole, we use:
sin(60) = height / 16
height = 16 * sin(60)
height = 13.86 ft
The person with the incorrect reasoning for the height of the flagpole is Charlie when he should have utilized the sin function. Because he incorrectly selected the function.