Answer:the first ans (f(x)=(1/x+2)+3
Step-by-step explanation:
Brad have 19 quarters and 27 nickels.
Step-by-step explanation:
Given,
Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents
One quarter = 25 cents
One nickel = 5 cents
Let,
x represent the number of quarters.
y represent the number of nickels.
According to given statement;
25x+5y=610 Eqn 1
y = x+8 Eqn 2
Putting value of y from Eqn 1 in Eqn 2

Dividing both sides by 30

Putting x=19 in Eqn 2

Brad have 19 quarters and 27 nickels.
Keywords: linear equation, subtraction
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Answer:
701 revolutions
Step-by-step explanation:
Given: Length= 2.5 m
Radius= 1.5 m
Area covered by roller= 16500 m²
Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.
Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.
Formula; Lateral surface area of cylinder= 
Considering, π= 3.14
⇒ lateral surface area of cylinder= 
⇒ lateral surface area of cylinder= 
∴ Area covered by cylindrical roller in one revolution is 23.55 m²
Next finding total number of revolution to cover 16500 m² area.
Total number of revolution= 
Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.
6>4-2x<4
so therefor (4x-2) must be less than 6 and less than 4
it must be
6>4-2x and 4<4-2x
find the intersection
6>4-2x
add 2x to both sides
6+2x>4
subtract 6
2x>-2
divide by 2
x>-1
4>4-2x
add 2x
4+2x>4
subtract 4
2x>0
x>0
so we have
x>0
and x>-1
the range of x>-1 includes most of x>0 so the answer is
x>-1