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)
Protective systems are methods of protecting workers from cave-ins of material that can fall or roll into an excavation, or from the collapse of nearby structures. As mentioned in earlier chapters, if an excavation is less than 5 feet deep, OSHA does not require a protective systems unless the competent person sees signs of a potential cave-in. (It is important to remember that a wall collapse in a trench four and 1/2 feet deep can still have serious results!) For trenches between 5 feet and 20 feet deep, shoring and sheeting, shielding, sloping and benching are all acceptable protective measures. It is up to the planners of the construction project and the competent person on site to determine which systems will work best. If an excavation is greater than 20 feet deep, a registered professional engineer must design the protective system.
Shoring systems are structures of timber, mechanical, or hydraulic systems that support the sides of an excavation and which are designed to prevent cave-ins.Sheeting is a type of shoring system that keeps the earth in position. It can be driven into the ground or work in conjunction with a shoring system. Driven sheeting is most frequently used for excavations open for long periods of time. Another type of sheeting, in which plates or shoring grade plywood (sometimes called Finland form) is used in conjunction with strutted systems such as hydraulic or timber shoring. These strutted systems are also referred to as active systems. The most frequently used strutted system involves aluminum hydraulic shoreswhich are lightweight, re-usable and installed and removed completely from above
Answer: B
Explanation: the bond that a mother and infant form is a bond that could and should last a life time. The bond is how the child knows who its mother is from birth verses everyone else around the child.
An OCTAVE is a note that is the same note but only 8 notes higher or lower.
Explanation:
I hope it can help you
