Evaluate the following expression. 1/5^-2
1 answer:
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Answer:
The demand equation is: D=-4p+23
Step-by-step explanation:
To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3
S=2(3)+5=11
Thus, when p=3 D=11 and, according to the problem when p=1 D=19.
We already know two points on the demand curve. Great!
The demand equation is linear, so it has form D=bp+c.
The variable b is the slope of the demand linear equation . It can be computed through the formula
. equation 1
Substituting the two points (3,11) and (1,19) on equation 1.
b=-4
Now we can find the value of intercept of the demand equation c trough point-slope form y-y1=b(x-x1).
We can use any of the points. Let's take (3,11) and write in point-slope :
y-11=-4(x-3)
y=-4x+11+12
y=-4x+23
Rewrite the linear equation according our variables D and p
D=-4P+23
Finally we found the demand equation !
Full question attached
Answer and explanation:
Since x = number of true or false questions correct
And y = number of multiple choice questions correct
And each question for x =2 points
each question for y=3 points
since she then needs a total score of more than 93 to pass, we add up total correct questions and
Inequality equation = 2x +3y >93
Answer:
The correct option is C.
Step-by-step explanation:
The bike shop owner rents out bikes and scooters.
The cost to rent a bike is $15 plus $8 per hour for each hour the bike is rented.
Rent of bike = Fixed rent + Variable rent
The rent function of a bike is
Where, t is number of hours.
The cost to rent a scooter is $35 plus $5 per hour for each hour the scooter is rented.
The rent function of a scooter is
Where, t is number of hours.
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
So by slope intercept form the rate of change of bike is $8 and rate of change of scooter is 5.
8>5
Therefor option C is correct.