Answer:
C
Step-by-step explanation:
-2 + 7 = 5
1st one : is 1/4 ( subtract 3/8 from both sides and simplify 5/8 - 3/8 to 1/4. )
2nd one : is 1/2 ( subtract 3/4 from both sides, simplify 1/4 - 3/4 to 1/-2, and then multiply both sides by -1 )
3rd one : is 5/6 ( subtract 1/8 from both sides and simplify 23/24 - 1/8 to 5/6).
Answer:
In fact, the AB could be calculated in a quickest way, using Pythagorean theorem. In here, we try to use the property of trigonometry to work out AB.
Before applying trigonometry, in this right triangle we can calculate the remaining angle C:
C = 180 - 90 - A = 180 - 90 - 53.13 = 36.87 deg
We can use cosine formula, but here we use the sine formula for the sake of convenience. We have:
sine(angle measure) = ratio of opposite side over hypotenuse
In detail, sineC = AB/BC
Then, we have: AB = BC x sineC = 15 x sin(36.87 deg) = 9.000002 = ~9 ft
Hope this helps!
:)
Answer:
Explicit formula is
.
Recursive formula is 
Step-by-step explanation:
Step 1
In this step we first find the explicit formula for the height of the ball.To find the explicit formula we use the fact that the bounces form a geometric sequence. A geometric sequence has the general formula ,
In this case the first term
, the common ratio
since the ball bounces back to 0.85 of it's previous height.
We can write the explicit formula as,

Step 2
In this step we find the recursive formula for the height of the ball after each bounce. Since the ball bounces to 0.85 percent of it's previous height, we know that to get the next term in the sequence, we have to multiply the previous term by the common ratio. The general fomula for a geometric sequene is 
With the parameters given in this problem, we write the general term of the sequence as ,

Answer:
=408x3+1556x2−4008x+1564
Step-by-step explanation:\
(8x−4)(3x+17)(17x−23)