I need help ASAP please
2 answers:
Answer:
6
Step-by-step explanation:
2 was to solve this:
1. Definition of an Inverse Function.
A inverse function states that if we have a function f(x), by definition of a function,, we have ox and y values that map with each other. In an Inverse function, the x and y values will swap places so that y map to x.
implies that what value of x will give us 0. here it is 6.
The other way is to find the equation of f(x). We have a y intercept of 3, a negative slope. And the value of the slope is 1/2 so the equation in slope y intercept form.
y=-1/2x+3.
Then we apply rules for solving for inverse of functions.
- Swap x and y
x=-1/2y+3
- Solve for y
x-3=-1/2y
-2x+6=y
Now plug 0 in for x
0+6=6
so 6 is the value of inverse function.
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Matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively
<u>Solution:</u>
Given, Matt gets paid at home for doing extra chores.
We have to find How much does Matt earn for completing each type of chore?
Let the amount for 1 load of laundry be m and amount for 1 load of dish be n.
Now, last week, he did 6 loads of laundry and 1 load of dishes, and his parents paid him $27.
Then, 6 amount for 1 load of laundry + 1
amount for 1 load of dish = 27
The week before, he finished 1 load of laundry and 9 loads of dishes, earning a total of $31
Then, 1 amount for 1 load of laundry + 9
amount for 1 load of laundry = 31 ⇒m + 9n = 31 ⇒ (2)
Now let us solve equations (1) and (2)
0 – 53n = - 159
-53n = -159
53n = 159
n = 3
Now, substitute n value in (1) ⇒ 6m + 3 = 27 ⇒ 6m = 24 ⇒ m = 4
Hence, matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively.