A coin contains 1.25 grams of nickel and 3.75 grams of copper, for a total weight of 5 grams what percentage of the metal in coi
2 answers:
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Answer:
(a)
(b)
Bag of popcorn = $6
Candy = $5
Step-by-step explanation:
Given
Jackson: x = 8; y= 2; Total = 58
Cooper: x = 4; y= 5; Total = 49
Solving (a): System of equation
For Jackson:
This is done by multiplying each variable by the quantity.
Same will be applied to Cooper's purchase:
Cooper:
Solving (b): Price of 1 bag of popcorn and 1 candy
This implies that we solve for x and y
----- (1)
-------- (2)
Multiply the second equation by 2
-------- (3)
Subtract the (1) from (3)
Solve for y
Substitute 5 for y in (1)
Solve for x
This implies:
Bag of popcorn = $6
Candy = $5
This equation can be solved graphically by plotting the equations
f(x) = 3^x
and
g(x) = 5x-1.
The x-coordinate of the point(s) of intersection is the solution.
_____
On my graphing calculator, I find it easier to locate x-intercepts, so I would rewrite the equation as
3^x -(5x -1) = 0
and plot the function
h(x) = 3^x -(5x -1)
The x-intercept(s) would be the solutions. (There are two: x≈0.577, x=2.)
f(x) = 3^x
and
g(x) = 5x-1.
The x-coordinate of the point(s) of intersection is the solution.
_____
On my graphing calculator, I find it easier to locate x-intercepts, so I would rewrite the equation as
3^x -(5x -1) = 0
and plot the function
h(x) = 3^x -(5x -1)
The x-intercept(s) would be the solutions. (There are two: x≈0.577, x=2.)