Answer
Let f(x) = ax + b
Then
f(x + 1) = a(x + 1) + b
= ax + a + b
Hence, a = 3, and a + b = 5, b = 2
f(-2) = 3(-2) + 2
= -6 + 2
= - 4
f(2x) = 3(2x ) + 2
= 6x + 2
Answer:The first option has a higher cost per liter and the required cost is $1.40 per liter.
Step-by-step explanation:
Step-by-step explanation: Given that a 2 liter bottle of juice cost $2.80. A box containing six 12 liter bottle sells for $3.90.
We are to select the option that has a higher cost per liter.
We will be using the UNITARY method to solve the given problem.
Option (1) :
The cost of 2 liter bottle of juice = $2.80.
So, the cost of 1 liter bottle of juice will be
Option (2) :
The cost of six 12 liters bottle of juice = $3.90.
So, the cost of 1 liter bottle of juice will be
Since 0.05>1.40, so the option of 2 liter bottle costing $2.80 has a higher cost per liter.
And, the required cost is $1.40 per liter.
1.94 / 8 = 0.2425 rounds to 0.24....so unit price is 24 cents per gallon
<span>Write the equation of the line that satisfies the given conditions, Express the final equation in standard form. Contains the point (2,5) and is parallel to the line x-2y=-5
The given equation can be written 2y=x+5; y = (1/2)x+(5/2)
It's slope is 1/2
So any line parallel to it has slope = 1/2
If the line also passes thru (2,5), 5 = (1/2)2+b; b=4
Therefore the equation you want is y = (1/2)x+4</span>
Answer:
y=-2/3x
Step-by-step explanation:
if you use the graphing calculator, the y intercept of the equation is 0 therefore y=mx
m=-2/3
the slope intercept equation is y=-2/3x
