P = 2l + 2w
P = 2(8.4) + 2(4.8)
P = 16.8 + 9.6
P = 26.4cm
1 dozen = 12
12 x 2 = 24
8/3 = x/24
3x=192
x=64
two dozen socks would cost $64
Answer:
f(x) = -3x^2 + 10x + 3
Step-by-step explanation:
(0,3) (2,11)(3,6)
Using the form ax^2 + bx + c = y
From the first set we know that c = 3
Write an equation for the last two sets
x=2; y=11
a(2^2) + b(2) + 3 = 11
4a + 2b = 11 - 3
4a + 2b = 8
simplify divide by 2
2a + b = 4
and
x=3, y=6
9a + 3b + 3 = 6
9a + 3b = 6 - 3
9a + 3b = 3
simplify divide by 3
3a + b = 1
:
Use elimination to find a
3a + b = 1
2a + b = 4
--------------subtracting eliminate b
a = -3
Find b using the equation 2a + b = 4
2(-3) + b = 4
b = 4 + 6
b = 10
:
The equation: f(x) = -3x^2 + 10x + 3
Answer:
Step-by-step explanation:
For what mileages will company A (which has a flat rate of $111) be less than the cost for company B
Company A < Company B
111 < 75 + 0.80m
solving
111 - 75 < 75 - 75 + 0.80m
36 < 0.80m
36/0.80 < 0.80m/0.80
as we are dividing by a positive number, we don't have to change the direction of the < sign.
45 < m
or m > 45
so if Ali intends to drive more than 45 miles, Company A's vehicle will be less expensive to rent
