Answer:
y = -3/2x + 2
Step-by-step explanation:
The equation has the format y = mx + b where m is the slope and b is the y-intercept.
The question gives you the y-intercept, so b = 2.
As for the slope, you need the fact that perpendicular lines have slopes that are opposite ("negative") reciprocals of each other.
The slope of the line given in the question is 2/3. The opposite reciprocal of 2/3 is - 3/2.
The equation for the line is y = -3/2x + 2
Answer:
90 degrees
Step-by-step explanation:
Answer:
A: product of powers
B: quotient of powers
E: negative exponent
Step-by-step explanation:
Let's evaluate to see which several rules we would be applying in each step
(power of a power)
(quotient of powers)
(negative exponent)
Thus, the rules of exponents we have applied to far are:
A: product of powers
B: quotient of powers
E: negative exponent
Here is the inequality written out: g/6<8
Solve.
g/6<8 Multiply 6 on both sides.
g<48 g is less than 48.
Answer:
$17.5
Step-by-step explanation:
The operator, for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
Therefore, for $x dollars increase in fare, 20x less people will take the trip and at that time the total fare F is given by
F(x) =(20 + x)(500 - 20x) = 10000 + 100x - 20x²
For F(x) to be maximum, the condition is
Hence, 100 - 40x = 0
⇒ x = 2.5
Therefore, the fare of $(20 - 2.5) = $17.5 will maximize the total fare. (Answer)