Answer:
x=12
Step-by-step explanation:
(9^5)(9^7)=9^x
282429536481=9^x
<em>Step 1: Flip the equation.</em>
9^x=282429536481
<em>Step 2: Solve Exponent.</em>
9^x=282429536481
log(9^x)=log(282429536481)(Take log of both sides)
x*(log(9))=log(282429536481)
x=log(282429536481)/log(9)
x=12
Answer: y=-2x+6
Step-by-step explanation:

So
. We can substitute (0, 6) to get:
6 = 2(0)+b
b=6.
Meaning y=-2x+6.
Answer:
The rate of change is 0.75 gallons per minute
Step-by-step explanation:
The rate of change of the linear relation is represented by the slope of the line which represents this relation
The rule of the slope of a line is
m = Δy/Δx, where
- Δy is the vertical change
- Δx is the horizontal change
From the given graph
∵ The line passes through points (0, 0) and (4, 3)
∴ Δx = 4 - 0 = 4
∴ Δy = 3 - 0 = 3
→ Use the rule of the slope above to find the slope of the line
∴ m =
= 0.75
∵ The x-axis represents the time in minutes
∵ The y-axis represents the amount in gallons
∵ m represents the rate of change
∴ The rate of change = 0.75 gallons per minute
Answer: The answer is 12q-1/2
Step-by-step explanation: