Answer:
See below.
Step-by-step explanation:
It can really help to think when you see |expression| that it means the distance from expression to zero.
(a) |x| < 7 means the distance from x to 0 is less than 7. That puts x between -7 and 7. The solution set is -7 < x < 7.
(b) |x + 3| < 9 means that the distance from x + 3 to 0 is less than 9. That puts x + 3 between -9 and 9:
-9 < x + 3 < 9 Now subtract 3 from all three parts.
-12 < x < 6
(c) |y - 8| > 11 means that the distance from y - 8 to 0 is more than 11 units. That puts y - 8 in one of two places: left of -11 or right of 11.
(g) 
means that the distance from 3x - 1 to 0 is more than (or equal to) 18. Another way to say it is, 3x - 1 is farther from 0 than 18 units. That puts 3x - 1 in one of two places: to the left of -18 or to the right of 18.
means that 4y + 3 is closer to 0 than 13; it is between -13 and 13.
(That last fraction is 10/4 simplified.)
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:
P=163,487,500
Step-by-step explanation: P=Ae^(kt)
151000000=145000000*e^(k5)
151000000/14500000=e^(k5)
1.04137931=e^(k5)
Ln 1.04=Ln e^(k5)
0.04=k5
k= 0.008
P=145,000,000*e^(.008*15)
P=145,000,000*e^0.12
e=2.71828
P=145,000,000*1.12749685
p=163,487,500
Answer: These ARE congruent to each other.
Step-by-step explanation: Do you see the ''tick marks?'' They both have 1 set of 2, and 1 set of 1. If that makes sense. They also have a "angle" in one of their acute angles.
