The quadratic function f(x) = x² - 5x + 12 has a parabolic graph that opens upwards. It passes through the point (0, 12) and does not contain the point (20, -8).
The quadratic function f(x) = x² - 5x + 12 is a second-degree polynomial with a leading coefficient of 1. It has a graph that is a parabola, which opens upwards since its leading coefficient is positive. The statement "the graph contains the point (0, 0)" is true because the y-intercept is found by evaluating f(0) which equals 12. The statement "the graph contains the point (20, -8)" is false because plugging in x = 20, we get f(20) = 212 which is not equal to -8. The statement "the graph of the function opens down" is false, as stated before, the graph of the function opens upwards.
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meters
One of your friends is on the 86th floor. What is the distance between you and your friend?
meters
The height of the building is 313 m while the friend is 192 m above me.
The angle of elevation is the angle between the horizontal plane and the line of sight or upward direction to an object or point of interest. It is typically measured in degrees, minutes, and seconds.
The angle of elevation is commonly used in trigonometry, surveying, and navigation to determine the height or distance of an object.
Let the distance from the ground frond to the 86th floor be x
We would now have that;
Tan 82 = 121 + x/44
44Tan 82 = 121 + x
313 = 121 + x
x = 313 - 121
x = 192 meters
Total height of the building = 192 m + 121 m = 313 m
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Answer: B
Step-by-step explanation:
Looking at the inequalities, both are ≤ and ≥. That means the x is not only greater or less than, but they are also equal to the number. With this fact, we can eliminate D since D has open circles.
Orr problem has 2 separate inequalities. Both are doing in different directions, hence the ≤ and ≥. This makes B automatically our answer. We can check by graphing each of the inequalities on the number line.
x≤5/4
We know that 5/4=1.25. We start at 1.25. Then the inequality tells less than or equal to. Since it is less than, we would travel to the left, where the numbers get smaller and smaller.
x≤5/2
5/2=2.5 We start at 2.5. The inequality tells us greater than or equal to. This means we have to travel to the right, where the number gets larger and larger than 2.5.
Answer:
84.96 mg
Step-by-step explanation:
No = 100 mg
t = 6 hours, N = 96% of No = 96 / 100 No
t = 24 hours, N = ?
Let after 24 hours the remaining part is N.
Use the decay law equation
N = No e^-λt
96 / 100 = e^-6λ
0.96 = e^-6λ
taking natural log on both the sides
ln 0.96 = - 6λ
λ = 6.8 x 10^-3 per hour
Now,
N = No e^-24λ
N = No x e^-(24 x 6.8 x 10^-3)
N = No (0.8496)
N = 100 x 0.8496 = 84.96 mg