Answer:
the long term, the U.S. standard of living has improved. Still, there are some vital numbers to watch. After five years of the poverty rate going down in the U.S., it rose in 2020. The official U.S. poverty rate was 10.5% in 2019, but in 2020 it was up to 11.4%.
Answer:
f(x)= 50+4.25x
g(x)= 40+6.25x
(5, 71.25)
Explanation:
they are asking for the number of garmets and price of those garmets where both shops charge the same amount
if you make the two shops prices into equations you will be trying to find the line intercept
to make the lines equations
they said f(x) is cleaning company 1
g(x) is cleaning company 2
and x in the number of garmets cleaned
you can see from prices that the price does not start at 0 it has a baseline price to clean
that baseline price is the +____
113.75-92.50 to find the difference in price for 5 garmets
=21.25
21.25/5 to find raise in price per 1 garmet
=4.25
now we know its 4.25x+b
baseline price = b
to find b plug in the values on the chart (first row)
4.25(5)+b=71.25
21.25+b=71.25
b=50
baseline price = 50
store 1 price is= f(x)= 50+4.25x
im gonna run out of space ill do the second one short
103.75-72.5=31.25
31.25/5=6.25
71.25=6.25(5)+x
71.25-31.25=x
x= 40= base price
g(x)= 40+6.25x
find intersection
g(x) =y
f(x) = y
y=y
therefore
50+4.25x=40+6.25x
10+4.25x=6.25x
10+4.25x=6.25x
10=2x
x=5
to find y intersection put in x to equation
y= 50+4.25x
y= 50+4.25(5)
y=50+21.25
y=71.25
intersection is (5, 71.25)
Answer:
x = 9/25, y = 7/25, z = 4/25
Explanation:
step 1: solve for y in first equation to use substitution
y = -2x + 1
step 2: insert into second equation to eliminate y variable and work with two variables
3(-2x+1) + z = 1 (now distribute)
-6x + 3 + z = 1 (bring over the -3)
-6x + z = -2
step 3: now left with -6x + z = -2 and x + 4z = 1, so eliminate z
-6x + z = -2 (multiply by 4)
4(-6x + z = -2)
-24x + 4z = -8
-
x + 4z = 1 (brought down third equation)
-25x = -9
x = 9/25
then just plug in x into the third equation to solve for z, followed by plugging it into the first equation to solve for y. you should end with y = 7/25 and z = 4/25
You said it's free response and all we had to do was answer so here's me doing the bare minimum. Lol.
