Answer:
x = -4
Step-by-step explanation:
3(2x+8)=0
Divide each side by 3
3/3(2x+8)=0/3
2x+8 = 0
Subtract 8 from each side
2x+8-8=0-8
2x = -8
Divide by 2
2x/2 = -8/2
x = -4
Set s(t) = 0 which means it hits the ground. The formula doesn't fit the parameters given as it shows that the pitcher is standing on something 37 feet high.
<span>s(t)=-16t^2+140t+37 and has an initial velocity of 140.
Graphing or solving this, t= 9 seconds when it hits the ground.
The velocity V(t) is the derivative of s(t)
V(t) = -32t+140
V(9) = -148 ft/second which is going down
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Answer:
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,
r = 6/- 2 = - 18/6 = - 3
Therefore, the sequence is geometric.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = - 2
r = - 3
The explicit formula is
Tn = - 2 × (- 3)^(n - 1)
To find the 8th term, T8,
T8 = - 2 × (- 3)^(8 - 1)
T8 = - 2 × (- 3)^7
T8 = - 2 × - 2187
T8 = 4374
Answer:
Step-by-step explanation:
we are asked to evaluate
÷
Above we are given mixed fraction which can be converted in proper fraction using formula given below
Hence
Also
Hence
÷
can be written as
÷ 
Also we know the rule for dividing fraction is as given below
÷ 
= 
Hence
÷ = 
=
=
Point-slope form is written as : y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point.
The slope (m) is found by the change in Y over the change in X
Slope = (y2 - y1) / (x2 - x1)
You can use either given point for x1 and y1 so you would calculate the slope and replace m with the slope, then replace x1 and y1 in the equation with their value.
