The expression which is equivalent to 1/4 (5x + 6) is; Choice A: {5(1/4)x} + {6(1/4)x}.
According to the question:
- We are required to determine an expression which is equivalent to <em>1/4 (5x + 6).</em>
In a bid to expand the expression; we must multiply each term in the parenthesis by (1/4);
In essence; we have;
- <em>{5(1/4)x} + {6(1/4)x}</em>
Read more on multiplication;
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Answer:
2.0 seconds
Step-by-step explanation:
<u>Given quadratic functions</u>:
To find the time, in seconds, that the balloons collided at the highest point, <u>substitute</u> one equation into the other equation and rearrange to <u>equal zero</u>:
<u>Factor</u> the quadratic:
Apply the <u>zero-product property</u> to solve for x:
Therefore, the balloons collided at 1 second and 2 seconds.
To find at which time the highest point of collision occured, substitute both values of x into one of the functions:
Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.
Learn more about quadratic systems of equations here:
brainly.com/question/27930827
Answer:
10.67 m
Step-by-step explanation:
Velocity is given as;
v(t) = t² − t − 6
To get the distance, we will integrate the velocity equation.
x(t) = ∫v(t) = (t³/3) - (t²/2) - 6t
Thus, from t=0 seconds to t=4 seconds., we have;
(t³/3) - (t²/2) - 6t between 0 and 4.
Thus;
Total Distance = [(4³/3) - (4²/2) - 6(4)] - [(0³/3) - (0²/2) - 6(0)]
Total distance = (64/3) - 8 - 24 = -10.67 m
Distance can't be negative and so we take the absolute value which is 10.67 m
Answer:
Step-by-step explanation:
800(1+0.038)2
The right answer for the question that is being asked and shown above is that: "B. X^2 = 5.85 p = 0.88." The answer that would be the appropriate type of test to investigate our hypothesis is that <span>"B. X^2 = 5.85 p = 0.88." This is the correct answer.</span>
