Answer:
An equation for each situation, in terms of x
A = 35 + 3x
B = 80 + 2x
The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.
Step-by-step explanation:
Let A represent the amount Company A would charge if Piper drives x miles
Let B represent the amount Company B would charge if Piper drives x miles.
Company A charges an initial fee of $35 for the rental plus $3 per mile driven.
A= $35 + $3 × x
A = 35 + 3x
Company B charges an initial fee of $80 for the rental plus $2 per mile driven.
B = $80 + $2 × x
B = 80 + 2x
The interval of miles driven x, for which Company A is cheaper than Company B.
= A < B
35 + 3x < 80 + 2x
3x - 2x < 80 - 35
x < 45 miles
That is: any number of miles driven below 45 miles makes Company A cheaper than Company B
The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.
Answer:
-3 1/3
Step-by-step explanation:
The quadratic
... y = ax² +bx +c
has its extreme value at
... x = -b/(2a)
Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.
To find the minimum value, we need to evaluate the function for x=2/3.
The most straightforward way to do this is to substitue 2/3 for x.
... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2
... y = (4 -8 -6)/3 = -10/3
... y = -3 1/3
_____
<em>Confirmation</em>
You can also use a graphing calculator to show you the minimum.
Answer:
The atomic mass
Step-by-step explanation:
The decimal at the bottom of an element represents how much one atom of that element weighs.
Answer:
A , B , C
Step-by-step explanation:
1) find the slope of the given line
slope = (-a/b) = (-8/4) = -2
two parallel lines have the same slope
A : correct
B : (-a/b) = -16/8 = -2 (correct)
C : correct
D : wrong (2 is different from -2)
