Refer to the image for the graph of the lines.
The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.
We need to draw any line with a slope m = 2, and
another line with a slope m = -2.
Disclaimer: Let us assume that the constant c = 0.
Then the equation to the line with a slope of "positive" 2 is given by
y = 2x
Then the equation to the line with a slope of "negative" 2 is given by
y = -2x
Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.
f: green line indicates a line with a slope of "positive" 2.
g: blue line indicates a line with a slope of "negative" 2.
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4 < x^2 i think i dont really know im just trying to get my account verified
The probability that a three shows on at least one of the dice is 11/36.
<h3>How to calculate the probability?</h3>
It should be noted that of probability means the likelihood of the occurence of an event.
The probability that a three shows on at least one of the dice will be:
= 11/36
This can be seen from the table that is attached.
The probability that the total is less than 8 will be:
= 21/36
= 7/12
Here, there are 21 places where the total is less than 8.
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Answer:
2.25 seconds
87 feet
[6, 87]
Step-by-step explanation:
The height of a projectile is:
h(t) = -16t² + vt + s
where v is the initial vertical velocity and s is the initial height.
Here, v = 72 and s = 6.
h(t) = -16t² + 72t + 6
This is a downwards parabola. The maximum is at the vertex.
t = -b / (2a)
t = -72 / (2×-16)
t = 2.25
h(2.25) = 87
It takes 2.25 seconds to reach the maximum height of 87 feet.
The range is from the lowest height (6 feet) to the maximum height (87 feet). In interval notation:
[6, 87]
Answer:
g =1.356207187
Step-by-step explanation:
7^g =14
Take the log on both sides
log (7^g) = log 14
We know that log a^b = b log a
g log 7 = log 14
Divide each side by log 7
g log 7 /log 7 = log 14 / log 7
g = log 14 / log 7
g =1.356207187