Acoffee merchant wants to make 6 pounds of a blend of coffee costing five dollars per pound. the blend is made using a six dollar per pound grade coffee and a three dollar per pound grade of coffee. how many pounds of each of these grades should be used?

We should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.

Step-by-step explanation:

The blend should,

Cost = $5

Weigh = 6 pounds.

Lets take the weight of $6 coffee as pounds

And lets take the weight of $3 coffee as pounds.

Lets write an equation for the weight of the blend,

<---------- 1st equation.

=

= <---------- 2nd equation

We can substitute to x in 1st equation from 2nd equation,

⇒

=

=

=

We can substitute y value to 2nd equation to find x,

⇒

==

Therefore, we should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

answer: it is a.,b.,d.

step-by-step explanation: