Sum of 2 numbers is 36. The larger is 3 more than twice the

Mathematics

1 answer:

maw [93]3 years ago

6 0

Answer:

Step-by-step explanation:

so we just make a system of equations:

x+y=36

say that x is the larger and y is the smaller

x-3=2y

so we can combine the equations and solve for x and y

re-arrange x-3=2y to be x=2y+3

x+y=36

x=2y+3

insert the value for x into x into x+y=36

2y+3+y=36

3y+3=36

y=11

now insert that back into x+y=36

11+x=36

x=25

Out of the two numbers x and y, 11 is the smaller number

Hope that helps :)

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$y = mx + b$

where m is the slope and b the bias (aka y-intercept). You can determine both directly from what is given. The slope is change in y divided by change in x. We know that over 5 years the car loses (500-7000)=-6500 in value. So, the slope is m=-6500/5 (note the negative sign). At time 0, the y-intercept is 7000, since that is the initial value (at year 0). So our line function is fully identified:

$y = -\frac{6500}{5}x+7000$