Answer:
Part B: ![\displaystyle [1, 2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B1%2C%202%5D)
Part A: Set both equation equal to each other by Substitution, since our <em>y-values</em> are already given to us.
Step-by-step explanation:
6x - 4 = 5x - 3
- 6x + 3 - 6x + 3
____________
Plug this coordinate back into the above equations to get the <em>y-coordinate</em><em> </em>of 2.
<em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em> </em>[where<em> </em><em>b</em><em> </em>is the y-intercept and the rate of change (slope) is represented by <em>m</em>]
![\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%205x%20-%203%3B%20%5B0%2C%20-3%5D%3B%205%20%3D%20m%20%5C%5C%20y%20%3D%206x%20-%204%3B%20%5B0%2C%20-4%5D%3B%206%20%3D%20m)
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Answer:
15
Step-by-step explanation:
Answer:
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. In the figure above, there are two congruent line segments. If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.
Answer:
x = 23
Step-by-step explanation:
6x+19+x = 180
7x = 180 - 19
7x = 161
x = 161/7
x = 23
Answer:
There will be 22.5 grams left after 32 hours.
Step-by-step explanation:
A half-life is how long it takes for half of the amount to go away. In this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.
32hrs/8hrs = 4 half lives.
Now we can raise 1/2 to the power of how many half lives we have (2). Then we multiply that by the amount in the sample.
(1/2)^4 * 360
1/16 * 360
22.5 grams
And this is an exponential function.
