If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for
which f(x) = g(x) is true.

the lines meet at (2/3, 2)

Step-by-step explanation:

f(x) = g(x)

plug equations for f(x) and G(x)

-3x+4 = 2

-3x = -2

x = 2/3

since both equations meet at x = 2/3, it doesn't matter which equation you plug x = 2/3 into to find the y-coordinate

for simplicity purposes since g(x) is easier to solve, I am going to plug x = 2/3 into g(x), but plugging it into f(x) will give you same answer

g(x) = 2

g(2/3) = 2

the lines meet at (2/3, 2)

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions