Answer:
7
Step-by-step explanation:
the side length of the largest square is x
2x-1=3x-8
-x=-7
x=7
This is a geometric sequence with common ratio (r) = 2.
an = ar^(n - 1)
a4 = a(2)^(4 - 1) = a(2)^3 = 8a
8a = 80
a = 80/8 = 10
7th term (a7) = 10(2)^(7 - 1) = 10(2^6) = 10(64) = 640
Answer:
Step-by-step explanation:
we're asked to solve the equation two x squared plus three is equal to 75 so in this situation it looks like we might be able to isolate the x squared pretty simply because there's only one term that involves the next year it's only this x squared term so let's try to do that so let me just rewrite it we have two x squared plus three is equal to 75 I'm going to try to isolate this x squared ...
<h2>
Explanation:</h2>
An exponential function is given by the following form:
Here we know two points:
![\bullet \ (0,6) \\ \\ x=0, \ y=6 \\ \\ 6=ab^0 \\ \\ \boxed{a=6} \\ \\\ \\ \bullet \ (3,750) \\ \\ x=3, \ y=750 \\ \\ 750=6b^3 \\ \\ b^3=\frac{750}{6} \\ \\ b=\sqrt[3]{125} \\ \\ \boxed{b=5}](https://tex.z-dn.net/?f=%5Cbullet%20%5C%20%280%2C6%29%20%5C%5C%20%5C%5C%20x%3D0%2C%20%5C%20y%3D6%20%5C%5C%20%5C%5C%206%3Dab%5E0%20%5C%5C%20%5C%5C%20%5Cboxed%7Ba%3D6%7D%20%5C%5C%20%5C%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20%283%2C750%29%20%5C%5C%20%5C%5C%20x%3D3%2C%20%5C%20y%3D750%20%5C%5C%20%5C%5C%20750%3D6b%5E3%20%5C%5C%20%5C%5C%20b%5E3%3D%5Cfrac%7B750%7D%7B6%7D%20%5C%5C%20%5C%5C%20b%3D%5Csqrt%5B3%5D%7B125%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7Bb%3D5%7D)
Finally, our exponential function is:
<h2>Learn more:</h2>
Behavior of functions: brainly.com/question/12891789
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