The first step is to find out what one centimeter of map represents. 15÷2.5 is equivalent to 6 kilometers. We now know that one centimeter is equal to 6 kilometers. Now we will have to multiply 17.5 by 6, which would equal 105.
Answer: A. 2x2 - 3x - 8
Just subtract the functions and combine like terms
(f - g)(x) = f(x) - g(x)
(f - g)(x) = 2x^2 - 5 -(3x + 3)
(f - g)(x) = 2x^2 - 5 - 3x - 3
(f - g)(x) = 2x^2 - 3x - 8
Answer:
-x2 + 5x
Step-by-step explanation:
See below.
The graphs are the same
Answer:
(b) 67
Step-by-step explanation:
A solution to the differential equation describing the temperature according to Newton's Law of Cooling could be written as ...
T = (final temp) + (initial difference)×(decay factor)^t
where the decay factor is the fraction of change during 1 unit of time period t.
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Here, the initial difference of 100-25 = 75 degrees decays to 90-25 = 65 degrees in 1 minute. So, the units of t are minutes, the decay factor is 65/75, the initial difference is 75 degrees, and the final temperature is 25 degrees. That lets us write the equation as ...
T = 25 +75(65/75)^t
Then for t=4, the temperature is ...
T = 25 +75(13/15)^4 ≈ 67.3 . . . . degrees
After 4 minutes the temperature of the coffee is about 67 degrees.
2x-y-1=0
There are 2 ways that you can solve this . Either plug in the x and y value into each equation until it is right or rewrite the equation .
the equation in slope intercept form is y=2x-1
When you get y by itself in the last one it is also equal to y=2x-1
For both ways work is attached !