Answer:
192 pounds of $2.5 brand
288 pounds of $2.8 brand
Step-by-step explanation:
From the information we can write an expression that relates the two brands the total pounds of coffee the grocer wants to see. Let x be pounds of the coffee brand 1 and y be pounds of the coffee brand 2.Equation 1:
We know that the price of will be equation 2:
Two equations and two unknowns we can solve for x and y:
Substitute into the second equation:
Therefore he uses 288 pounds of brand two at $2.80 and 480-288=192 pounds of brand 1 at $2.50
Log₂(6x) - log₂(√x) = 2
log₂[6x/√x] = 2, let's rewrite it in terms of exponent:
(remember : ㏒₂(x) = a (in exponential form) → x = 2ᵃ
6x/√x = 2²
6x/√x = 4, square both sides:
36x²/x = 16 .Simplify:
36x = 16 and x = 16/36 . So x = 4/9
The slope of a line that passes through each pair of points (2,2), (3,1) is (4,2), (0,2)