Answer:
Option B. $900
Step-by-step explanation:
Let
y ----> the value of the car
x ----> the time in years
we know that
The linear function in slope intercept form is equal to
where
m is the slope or the depreciation rate
b is the y-intercept or initial value of the car
we have
The y-intercept or initial value is equal to
we have the ordered pair (5,500)
substitute the value of x and the value of y of the ordered pair in the linear equation and solve for m
Is negative because is a decreasing function
The linear equation is equal to
therefore
It would depreciate $900 each year.
Answer:
i tihnk 11 is 86 sorrry if im wrong
Step-by-step explanation:
When you represent intervals on the number line, you're including full dots, excluding empty dots, and you're considering numbers highlighted by the line.
In the first case, you've highlighted everything before -2 (full dot, thus included), and everything after 1 (empty dot, excluded). So, the set would be
or, in interval notation,
![(-\infty,-2]\cup (1,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%5Ccup%20%281%2C%5Cinfty%29)
In the second case, you are looking for all numbers between -3 and 5. This interval is symmetric with respect to 1: you're considering all numbers that are at most 4 units away from 1, both to the left and to the right.
This means that the difference between your numbers at 1 must be at most 4, which is modelled by
where the absolute values guarantees that you'll pick numbers to the left and to the right of 1.
The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.
This means
