Answer:
Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.
Step-by-step explanation:
Answer:
x= 7
Step-by-step explanation:
1st step: Multiply the factor (outside number) with the numbers and variable(s) in the box. This results in 2(x-3) = 2x-6
2nd Step: continue the rest of the equation since there are no more brackets left so 2x-6-12=-4
3rd Step: send -12 to the other side of the equation (side changes sign changes) so it will become 2x-6=-4+12 (You are actually supposed to make the variable alone on one side of the equation so that you would be able to calculate its value)
4th step: 2x-6=8 ---> send -6 to the other side as well which will then result in 2x=14
5th step: since 2 is being multiplied by x, when you send it to the other side (to make x alone) you will divide 14 by 2 ( sign of 2 changes from multiplication to division)
Final Step: x=7
Answer:
21 
in/hr
Step-by-step explanation:
Distance of snow fall = 3ft
Time taken = 1
hrs
Unknown:
Rate of snowfall = ?
Solution:
The rate of the snowfall is the same as the speed of the fall;
Rate of snowfall = 
Convert the ft to inches;
1ft = 12inches
3ft = 3 x 12 = 36inches
Input the parameters and solve;
Rate of snowfall = 
= 36 x = 21 in/hr
Let x = the number of hours since 5 a.m.
Let y = temperature, °F
Let the total temperature change be modeled by the expression
y = ax + b
At 5 a.m., x = 0 and y = -9.4°F. Therefore
b = -9.4
When x = 6 hours, y = 2.8°F. Therefore
6a + b = 2.8
6a - 9.4 = 2.8
6a = 12.2
a = 2.0333
The expression is
y = 2.0333x - 9.4
Answer:
y = 2.0333x - 9.4
where
x = hours since 5 a.m.
y = temperature, °F
