Answer:
A
Step-by-step explanation:
all we need to do is to plug the point (6,4) in the inequality and see if it satisfies it :
pay attention that here we have x=6 y=4
4<
we simplify we get :
4<4.5-3
4<1.5 which is incorrect so (6,4) is not a solution. moreover
notice that 4 is > than 1.5 so the point lies above the line
thus the answer is : A
you can also solve this problem by graphing the line 
and plotting the point (6,4) and hence you will notice that the point is above the line
3.14 x 10⁻³ has the value 0.00314
The exponent tells us the number of times the decimal has to move. The sign of the exponent tells us the direction of the movement of the decimal.
The negative sign of the exponent means that the decimal has to move to the right.
From 0.00314, decimal move to the right 0003.14
If the decimal is positive, it means that the decimal point moved to the left of the number.
3.14 x 10³ in expanded form is 3140
From 3140. decimal move to the left 3.140
Answer:
D - The elevator traveled upward at a rate of 2(2/5) feet per second.
Step-by-step explanation:
Okay, this is almost like kinematics, which deals with physics.
Here are your given values:
Position 1 = 70ft [down]
Position 2 = 10ft [down]
Change in time (Δt - time - scalar) = 25 seconds
The equation for displacement is d₂-d₁. This would be the change of position of the elevator during the 25 seconds.
So, we can use this equation to figure out the change in position.
Δd = d₂-d₁ = 10ft [down] - 70 ft [down] = 60ft [up]
The equation for velocity is Δd/Δt. This would be the rate of which the elevator travels. Velocity is simply speed but with a direction.
So, we can use this equation to solve.
v = Δd / Δt = 60 feet [up] / 25 seconds = 2.4 ft / second [up].
Now, we need to change 2.4 ft / second [up] into a fraction.
2.4 -> 2 (4/10) -> 2 (2/5)
All I am simply doing is figuring out the distance the elevator traveled and determined the direction of which the elevator traveled. Then, I divided that by the time the elevator traveled to determine its speed and the direction the elevator traveled.
<h3>
Answer: -3</h3>
Work Shown:
g(x) = -x+2
g(5) = -5+2 ... replace every x with 5
g(5) = -3
Answer:
A. 9%; $440.36 million
Step-by-step explanation:
Using A(1+r)t, we can subtract 1-1.09=.09*100=9%.
That means the projected annual growth is 9%
Now we can calculate the worth of the company by replacing t=8, 2008-2000=8
