Kelly can type 200 words in five minutes.
Well, a logarithmic expression is just an exponential expression written from the point of the exponent.
now, ln is just a shorthand for the logarithm with a base "e" or euler's constant, so-called the "natural logarithm", now, let's use the exponential version of that here, and let's say equals an constant exponent of "k",
now, look closely, what "k" value, what exponent, negative or fraction or positive, will ever make "e" to 0? none, so one can say is "undefined".
Answer:
x = 27, y = 74
Step-by-step explanation:
Hi again :)
Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.
5x + 4 + x + 14 = 180
6x + 18 = 180
6x = 162
x = 27
Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.
5(27) + 4 = 2y - 9
135 + 4 = 2y - 9
139 = 2y - 9
148 = 2y
y = 74
As always, lmk if you have questions.
X (Time in Hours) y (Distance)
0 900
1 850
2 800
3 750
The y-intercept of this function would be the value of y when x = 0
Reading from the table, when x = 0, y = 900
Interpreting this value it means that initially, the distance of the car from its destination is 900 miles
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PART B
The rate of change is calculated by finding the vertical and horizontal distance between two points
The decrease is the same value every time; for every hour, there's a decrease of 50 miles.
So, the rate of change is 50 miles per hour
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PART C
The function is in the straight line equation form: y = -50x + 900
The value -50 represents the negative slope (the decrease in distance)
The value 900 represents the y-intercept
The car reaches its destination when y = 0, so the value of x would be
0 = -50x + 900
50x = 900
x = 900/50
x = 18 hours
The domain of the function is 0 ≤ x ≤ 18
