Answer:
$96
Step-by-step explanation:
Good deal!
x² - x + 4x - 4 → D
Expand using the FOIL method
F → multiply First terms → x and x = x²
O → multiply the Outer terms → - 1 and x = - x
I → multiply the Inner terms → 4 and x = 4x
L → multiply the last terms → 4 and - 1 = - 4
(x + 4)(x - 1) = x² - x + 4x - 4
By the comparison test, the series converges.
What are convergence series and diverging series?
If the infinite series converges to a real number it is called converging if not then it is called diverging series.
If the larger series is convergent the smaller series must also be convergent. Likewise, if the smaller series is divergent then the larger series must also be divergent.
For this series to be converging it must follow the following :
⇒
⇒Putting n = 1
= 1/4
=1/
= 1/2
⇒ t₂/t₁≤1
⇒ Hence it converges
Learn more about the comparison tests here :
brainly.com/question/12069811
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Answer:
D = 12
Step-by-step explanation:
Side ST is corresponding to side QT. 9" / 3" = 3
3 is the proportion between the two triangles.
Side PT is the corresponding side to side RT.
PT = 4" x 3 = 12"