So you have to find the equation of the line of both then find the value of k
so f(x) points are (0,1) and (2,6)
hopefully you know how to find a equation of a line between two points
if not i can explain after, most people just want the answer here anyways
y=5/2<span>x+1
</span>
g(x) points (0,-1) and (2,4)
<span>y=3x-2
</span>
g(x) = f(x) + k
5/2x-1= 5/2x+1 + k
so k = -2
hope this helps
Answer:
20 represent the cost per variable inputs
Step-by-step explanation:
C(x) = 20(4x) + 500
Total cost is the addition of variable cost and fixed cost
Fixed cost are cost that do not change during the production process such as machinery, furnitures and fittings.
Variable cost are cost of production that changes with production process such as cost of labor, cost of raw materials.
C(x) = 20(4x) + 500
C(x) represent the total cost
20(4x) represent the variable cost
500 represent the fixed cost
From the variable cost 20(4x)
20 represent the cost per variable inputs
In this problem “like terms” has two groups: one with a number and y, and one with just numbers. First I’ll rewrite the equation with the terms in a different order, grouped with like terms. Then we’ll do the math for them:
7y + 10 + 3y - 4 - 6y
= 7y + 3y - 6y + 10 - 4
= 10y - 6y + 6
= 4y + 6
Let me know if you have questions on this.
total donated=amount donated per month times number of months
amount donated per month=18.18
number of months=12
total donated=18.18*12=$218.16
answer is D
Answer: (1) Distributive (2) Commutative (3) Associative
(4) Commutative (5) Addition Property of Equality
<u>Step-by-step explanation:</u>
1) Distributive
(x + 4) was multiplied by 3 and (2x - y) was multiplied by 5
2) Commutative
10x and -5y switched places
3) Associative
The parenthesis changed partners
4) Commutative
(12y - 5y) and 10x switched places
5) Addition Property
Like terms were added together --> 3x + 10x = 13x and 12y - 5y = 7y
