The linear function with the same y-intercept with the graphed function is: table A.
<h3>What is a Linear Function?</h3>
The equation that models a linear function is, y = mx + b, where m is the slope and b is the y-intercept.
Slope of the graphed function = rise/run = - 2/1 = -2
Using one of the points on the line (x, y) = (5, 0) and the slope, m = -2, find the y-intercept (b) by substituting the values into y = mx + b:
0 = -2(5) + b
0 = -10 + b
10 = b
b = 10
The slope (m) of the graphed function is -2, and the y-intercept (b) is: 10.
Slope (m) of table A = change in y/change in x = (14 - 8)/(3 - 1) = 3
Substitute a point (x, y) = (1, 8) and slope (m) = 3 into y = mx + b to find the y-intercept (b):
8 = 3(1) + b
8 - 3 = b
5 = b
b = 5
Therefore the table with the same y-intercept as the graphed function is table A.
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Yes, Lord Vader !
2/3 x + 5 = 1/2
Multiply each side by 2 : 4/3 x + 10 = 1
Multiply each side by 3 : 4 x + 30 = 3 <== equivalent equation
without fractions
Subtract 30 from each side: 4x = -27
Divide each side by 4 : x = -27/4 = -6.75
Answer:
Option A - The number of visitors is multiplied by (1+r) each year
Step-by-step explanation:
Given : The number of visitors to an art museum increases each year. The function
represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.
To find : Select the correct statement?
Solution :
We have given an exponential function,
The function
represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.
As In year 0,
The initial visitors is 
In year 1,

In year 2,

So, According to this the number of visors is multiplied by (1+r) each year.
Therefore, Option A is correct.
Answer:
See Explanation
Step-by-step explanation:
Given

Required:
How do you know, it has no solution
The expression on the left-hand side is an absolute function and the result is always positive.
However, the expression on the right-hand side shows a negative sign.
The negative sign is on the contrary to what an absolute value represent.
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<em>Hence, it has no solution.</em>