Answer:
x^2-7
Step-by-step explanation:
<h3>
Answer: 31</h3>
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Work Shown:
Use the value of a0 to find the value of a1. The idea is you double the previous value, and then add 1.

Which is then used to find the value of a2. Follow the same process as before (double the previous value and then add 1).

This is used to find a3

Finally we can now find a4

Recursive sequences like this aren't too bad if n is small, but as n gets larger, things become more tedious. For those cases, its best to try to find a closed form equation. If not, then the next best thing is using a spreadsheet to automate the process.
Answer:
x=12
Step-by-step explanation:
We know that a right angle is 90 degrees. So we can make the equation
Now, we can solve fore X! We can combine 35 and 7 to make the equation
. In order to isolate x we have to subtract 42 from both sides, getting us the equation
Now, in order to isolate x we must divide each side by 4, getting us the equation
. To prove that x=12, we can subsitute x for 12. This means that we can do
which simplified, is 90=90, making x=12 true. Hope this helps :)
Answer:
it would be
The dependent variable is distance, the equation is y = 35x, and the dragonfly will travel 840 miles
Step-by-step explanation:
By the graph it can be seen that the distance a dragonfly can travel is dependent on the certain number of hours.
∴ Dependent variable : Distance (on y axis)
The equation of straight line is given by :-
, here m is the slope of the line and c is the initial value of y at x=0.
From the given graph, the slope of the given line passing from (0,0) and (2,70) will be :-
Also, the value of y = 0 at x=0.
∴ The equation of the given line :
At x=24,
∴ The dragonfly will travel 840 miles in 24 hours.