Answer:33/9
Step-by-step explanation:
Log10(x+3)-Log10(x-3)=1
Log10((x+3)/(x-3))=1
(x+3)/(x-3)=10^1
(x+3)/(x-3)=10
Cross multiply
x+3=10(x-3)
Open brackets
x+3=10x-30
Collect like terms
10x-x=30+3
9x=33
Divide both sides by 9
9x/9=33/9
x=33/9
Answer:
y=2x
Step-by-step explanation:
y = kx is the format of the graph we are looking for (as told in the instructions) where k is the variable we are supposed to find (like y = x, y=2x, y=3x, etc)
Note that as x increases by 1, y increases by 2. We can see that by writing a table of the points of points that the line given intersects (picture below). We can see that by the values of the x-axis and the y-axis. Why does this happen? This is because y =2x for each value of x. We notice that in our table.
Therefore, the equation is y=2x. I hope this helps! If you still have questions, ask me in the comments!
Answer:
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Step-by-step explanation:
Given



Required
Determine the hourly rate
First, we need to determine the ice cream sold


Next, we calculate the hourly rate:






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Answer:
Radius of the circle = 6 units
Step-by-step explanation:
Let the radius of the circle be r
According to the given condition:
Area of the circle = 3 times the circumference of the circle

Answer:
The answer to your question is FJ = 18
Step-by-step explanation:
Data
FG = 30
FH = 12
HE = 8
JH ║GE
These triangles are similar, so we can use proportions to find the length of FJ.

Substitution

Simplification

Solve for FJ

Result
FJ = 18