Answer:
domain: 2x+1 not equal to zero, then x not equal to -1/2
Set 2x+1>0
then x>-1/2
100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)
100^(3-4x)<=0.01^(5x-8)
(10^2)^(3-4x)<=[10^(-2)]^(5x-8)
10^[2*(3-4x)]<=10^[(-2)*(5x-8)]
10^(6-8x)<=10^(16-10x)
6-8x<=16-10x
2x<=10
x<=5
combine x>-1/2 and x<=5
then - 1/2<x<=5
Set 2x+1<0
then x<-1/2
100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)
100^(3-4x)>=0.01^(5x-8)
(10^2)^(3-4x)>=[10^(-2)]^(5x-8)
10^[2*(3-4x)]>=10^[(-2)*(5x-8)]
10^(6-8x)>=10^(16-10x)
6-8x>=16-10x
2x>=10
x>=5
combine x<-1/2 and x>=5
, then x does not exist while 2x+1<0
so answer is - 1/2<x<=5
Answer:
Step-by-step explanation:
The formula for projectile motion in this case where we're dealing the "American" measure of gravity in feet per second squared, is
where s(t) is the height of the object after a certain amount of time has gone by, v₀ is the initial vertical velocity (our unknown in this case), and h₀ is the initial height.
For us, the initial height is 0 because the ball started off on the ground. What we are being asked is what is v₀, when after 2 seconds have gone by and the ball is 94 feet in the air. 94 feet in the air is the position of the ball, s(t) after t seconds go by. What we are being asked to find then, is v₀ when s(2) = 94
which simplifies to
94 = -64 + 2v₀ and
158 = 2v₀ so
v₀ = 79 feet per second
Answer 98
Step-by-step explanation:
first you add 7 then live
3% is the interest rate. Using the formula I=PRT, you can simply derive the rate by putting the given numbers in.
I = 450P = 3,000R = ?T = 5 Years
The equation now goes,450 = 3,000 * R * 5450 = 15,000 * R450/15,000 = R0.03 = R
multiply it by 100,
R = 3%
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