Answer:
2 to 6 is constant. 14 to 15 is constant. The height characterized by the line remains straight.
Step-by-step explanation:
Looking at the graph, we can identify the x axis which is time, and the y axis which is the height. Now, as the height increases or decreases, so does the line as it goes higher or lower. Now, when the question asks what constant means, it is asking where during the graph is the height the same. We can see that it is the same when the height does not change over time, which is from 2 to 6. The height remains the same, therefore there is no change and the height is constant.
The value of x = 75 ⇒ 2nd answer
Step-by-step explanation:
Let us revise some rules of logarithmic function
vice-versa 
- If ㏑(a) = ㏑(b), then a = b
∵ 
- Use the 2nd rule to simplify it
∵ 
∵ 
∴ 2㏑(2x) - ㏑(10x) = ㏑(30)
- Use the 3rd rule in the 1st term
∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)
∴ ㏑(4x²) - ㏑(10x) = ㏑(30)
- Use the 1st rule with the left hand side
∵ 
∴ 
∵ 
∴ 
- Use the 4th rule
∴ 
x = 30
- Multiply both sides by 5
∴ 2 x = 150
- Divide both sides by 2
∴ x = 75
The value of x = 75
Learn more:
You can learn more about logarithmic functions in brainly.com/question/11921476
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Answer:
Step-by-step explanation:
The equation of a linear function in point-slope form is y – y1 = m(x – x1)
The point is A (x1 , y1)
in this exercice : x1 = 3 and y1 =2
let A(3,2) B(-9,6)
the slope is : m = (YB - YA)/(XB -XA)
(6-2)/(-9-3) =4/(-12) = -1/3
the slope is m = -1/3
The equation is : y – y1 = m(x – x1)
y-2 =-1/3 ( x-3)
or : 3y-6 = -x+3
