Lina's right. Josh didn't fully finish factoring (his 9 could've still been factored).
9514 1404 393
Answer:
3. y = 3·4^x
4. y = 24·0.5^x
5. y = 45·0.9^x
Step-by-step explanation:
Each table appears to represent an exponential function. Such a function can be written in the form ...
y = a·b^x
where 'a' is the value of y when x=0, and 'b' is the ratio of the values of y when x=1 and x=0.
__
3. a = 3. b = 12/3 = 4
y = 3·4^x
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4. a = 24. b = 12/24 = 0.5
y = 24·0.5^x
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5. a = 45. b = 40.5/45 = 0.9
y = 45·0.9^x
Answer:
2.15 seconds
Step-by-step explanation:
Given the equation of the height (in feet) of the ball above the ground t seconds after a shot is released from your hand modeled by the function
f(t)= -16t² + 32t + 5.2 where t is in seconds.
Note that the value of the height at the point the ball is released from the hand is 0 feet.
To get value of t when the ball is released from your hand, we will substitute f(t) = 0 into the modeled equation as shown;
f(t)= -16t² + 32t + 5.2
-16t² + 32t + 5.2 = 0
Multiply through by 10
-160t² + 320t + 52 = 0
Dividing through by -4
40t² - 80t - 13 = 0
t = 80±√80²-4(40)(-13)/2(40)
t = 80±√6400+2080/80
t = 80±√8480/80
t = 80±92.09/80
t = 80+92.09/80
t = 172.09/80
t = 2.15 secs
<em>Hence, the value of t when the ball is released from your hand is approximately 2.15seconds.</em>
(1,3)(4,-3)
slope = (-3-3) / (4 - 1) = -6/3 = -2
y = mx + b
slope = -2
use either of ur points....(1.3)...x = 1 and y = 3
now sub and find b, the y int
3 = -2(1) + b
3 = -2 + b
3 + 2 = b
5 = b <===
Answer:
28
Step-by-step explanation:
You follow the order of operations - PEMDAS