You did not include the graph.
Searching on internet I found a graph with which I can help you. I will solve the question using and so you can understand the problem and solve with the real graph.
1) The slope of line given the graph is calculated as:
slope = run / rise = Δy / Δx = constant.
2) So, you can choose any two points to calculate the slope.
3) Uisng the points (50,20) and (30,10) you get:
slope = [ 20 - 10] / [50 - 30] = 10 / 20 = 1/2
4) Note that that means that the plant grows 1 cm in 2 days
5) The rate of change is 1cm / 2 weeks.
With this you know how to calculate the slope, which is the same rate of change, and the meaning of it, which permits to answer the question from the complete statement and graph.
Answer:
x=3
Step-by-step explanation:
log₂(3x-1)=3
(3x-1)=2³
3x-1=8
3x=8+1
3x=9
x=9/3
x=3
Answer:
When x = 1, these two equations are equal
Step-by-step explanation:
To do this, we need to set each equation equal to the other
The setup looks like
Now we can solve for x
Answer:
Step-by-step explanation:
We can write the following system of equations:
Let the first number be and the second number be :
Solving, we get:
Solving for :
H(t)=-16t^2+15t+12
(e)
maximum height is reached when h'(t)=-32t+15=0, or tm=15/32 seconds.
maximum height reached = h(tm)=h(15/32)=-16(15/32)^2+15(15/32)+12
=993/64 ft
=15.516 ft.
(f) when Greg reaches water, h(t)=0=-16t^2+15t+12
Solve for t using quadratic formula,
t=[-15+/- sqrt(15^2+4*12*16)]/(2*-16)
=-0.516s or 1.4535s.
Reject negative root so
Greg reaches water at t=1.4535 seconds.