Answer:
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Answer:
(7x-1)(x-3)
Step-by-step explanation:
7x^2 - 22x + 3
The factors have to add to -22, but multiply to equal 3. But since the "a" value has a number on it, you have to use it too.
(7x +/- [n1]) ( x +/- [n2]) = 7x^2 - 22x + 3
Since the two numbers multiply to a positive value, they have to have the same sign. (7x-1) (x-3) works to produce the expression when it's foiled.
Answer:
x = 4 + sqrt(5) or x = 4 - sqrt(5)
Step-by-step explanation:
Solve for x:
(x - 4)^2 = 5
Take the square root of both sides:
x - 4 = sqrt(5) or x - 4 = -sqrt(5)
Add 4 to both sides:
x = 4 + sqrt(5) or x - 4 = -sqrt(5)
Add 4 to both sides:
Answer: x = 4 + sqrt(5) or x = 4 - sqrt(5)
f ( 7 ) = 2.4 ft
Step-by-step explanation:
Solution:-
- This is modeled using a geometric sequence function with initial height from which ball is dropped hi = 18 feet, and a decrease in height by 25% after each successive bounce :
f ( x ) = 18 (0.75)^x
Where, x e [ 0 , ∞ ) : The number of bounces.
f (x) : The maximum height after xth bounce.
- The maximum height reached by the ball after its 7th bounce. So, x = 7:
f ( 7 ) = 18 (0.75)^7
f ( 7 ) = 2.4027 ft
- To the nearest tenth:
f ( 7 ) = 2.4 ft
0.4375.
You can simply divide 7 by 16 using long division or a calculator to get this answer.
