Answer:
The value for 20th term is 10.
Step-by-step explanation:
First, you have to find the formula for the sequence.





Given that the formula of this sequence is an = -10n + 210. Next, you have to find 20th term :




(Correct me if I am wrong)
If you add 15 to both sides, you get h = 3.2t + 15. This is basically a slope-intercept equation, and simply from that, you can tell that the slope (the rate) is 3.2.
Hopefully this helps! :)
Answer:
3 chickens will Mrs. Johnson put in the last shelter
Step-by-step explanation:
According to the question,
Given,Mrs. Johnson has 159 chickens that she puts in shelters at night to keep safe. She places 12 chickens in a shelter .
thus,If she put 12 chickens in each 13 shelters ( 12×13=156 chickens) adjusted in shelters .
Then, the remaining 159-156 = 3 chicken will Mrs. Johnson put in the last shelter .
Answer:
f(-3) = -20
Step-by-step explanation:
We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...
34, 10, -8, ?
The first differences of these numbers are ...
10 -34 = -24
-8 -10 = -18
And the second difference is ...
-18 -(-24) = 6
For a quadratic function, second differences are constant. This means the next first-difference will be ...
? -(-8) = -18 +6
? = -12 -8 = -20
The value of the function at x=-3 is -20.
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The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)