please help me check!!
James rents a car for x days. the rate is 19.95 per day, which includes 20 miles of driving and .40 per mile for each additional mile. If James drives 30 miles per day for the duration of this period, which of the following represents the most of rental as a function of x?
f(x)= 19.95x + 4
David and Peter are starting a law mowing service. They must buy a lawn mower for $250 and plan to charge $15 per lawn. what inequality represents the number of lawns l they need to mow to earn at least $800 over the cost of the lawn mower?
l is less than or equal to 54
What is the value of a if (x+2y) squared + (x-y)squared = 2ax + 5y^2
x+y
f(x)= 19.95x + 4
I disagree He drove ten extra miles EVERY DAY
19.95 x + (30 -20)(0.40)x
Less than no way, must mow at least, equal to or more than
15 L >/= 250 + 800
L>/= 70
x^2 + 4 xy^2 +4y^2 +x^2 -2xy+y^2 = 2ax +5 y^2 x + y ?? maybe typos makes no sense
(x+2y)^2+(x-y)^2 = x^2 + 4xy +4y^2 +x^2 -2xy+y^2 = 2x^2 + 2xy + 5y^2
if you equate that to some other polynomial, then all the coefficients must match
To find the most cost of car rental as a function of x, we need to consider the two components of the cost: the base rate per day and the additional cost per mile.
The base rate per day is $19.95, and this amount is multiplied by the number of days, x: 19.95x.
The additional cost per mile is $0.40, and James drives 30 miles per day for x days. So the additional cost per day is 0.40 * (30 - 20) = 0.40 * 10 = $4.
Therefore, the most cost of rental as a function of x can be represented as f(x) = 19.95x + 4.
For the lawn mowing service, let's denote the number of lawns they need to mow as l.
The cost of the lawn mower is $250. To earn at least $800 over the cost of the lawn mower, the total revenue from mowing lawns should be greater than or equal to $800 + $250 = $1050.
Since they plan to charge $15 per lawn, the inequality representing the number of lawns they need to mow to earn at least $800 over the cost of the lawn mower is l * 15 ≥ 1050.
Dividing both sides of the inequality by 15 gives: l ≥ 1050/15, which simplifies to l ≥ 70.
Hence, the correct inequality representing the number of lawns they need to mow to earn at least $800 over the cost of the lawn mower is l ≥ 70.
Regarding the equation (x+2y)^2 + (x-y)^2 = 2ax + 5y^2, it is not clear what needs to be solved for. Could you please provide more information or specific instructions on what you would like to find or solve for?