Step-by-step explanation:
Let x be the number of households you mowed grass.
Let y be the number of households you shoveled snow.
From there, we know,
as equation 1.
next we also know,
as equation 2.
From here we know we can solve using simultaneous equations.
rearranging equation 1 with y the subject,
Substitute this equation into equation 2.
now substitute x = 14 into equation 1.
Therefore, you have mowed grass for 14 households and shovelled snow for 8 households.
Answer:
Part A: Coefficients: 85 and 15
Variables: x = shifts at the theater, y = dog-walking jobs
Part B: 2 terms, the first one represents how much he earns working in the theater and the second how much he earns dog-walking. Each term is separated with a sum or a subtract sign.
Part C: 15y
Step-by-step explanation:
Part A: The variable of an expression is the information we don't know. In this case, we don't know how many shifts he has at the theater and how many dog-walking jobs he has. That's why we have 2 variables, x and y. The coefficient is the number that multiplies the variable. In this case, as we have 2 variables, we have 2 coefficients, 85 and 15.
Part B: In an expression, every term is separated with a sum or a subtract sign. In this case, we have just one sum, so the terms are the numbers and variables that appear before and after the sum sign. That's 85x and 15y. The first one is the amount of money he earns for every shift at the theater multiply by how many shifts he has, so that's how much he earns in total at the theater. The second one is the amount of money he earns for every dog-walking job multiply by how many he does, so that's how much he earns in total from the dog-walking jobs.
Part C: As I said in Part B, the second term is the total earned from the dog-walking jobs, so 15y represents it.
Y = kx
k = y/x
k = 2/12
k = 1/6
so when x = 12
y = kx
y = 1/6(5)
y = 5/6
answer
when x = 5 y = 5/6
Please don't post a set of problems with no work of your own shown.
I would gladly involve you in answering these questions, but will not do the problems and hand you direct answers. Start with #1. What do you understand about this problem, and what do you think you need to know to be able to solve it?
Answer:
k = -3
Step-by-step explanation:
F(x) has a positive slope
g(x) has a negative slope
Let x = -3
The y value goes from 1 to -3
g(x) = k⋅f(x)
-3 = k(1)
-3 = k
