Rewrite the following expression with rational exponents. 3 sq root -27x^2 y^7 Show your work
1 answer:
Answer:
Step-by-step explanation:
The square root is possible only if y≤0
if y>0 the expression lose meaning, in fact (-)(+)(+) = (-) and a square root of a negative number doesn’t exist. x^2 is a square so it is ever positive if x is not 0
if y≤0 can be rewritten as:
3(-27x^2y^7)^1/2
or if we want simplify the expression:
^1/2
we have to put the symbol of absolute value between x and y because a x^2 and y^6 are numbers that are ever positive, while x and y^3 can be also negative. Thanks to the simbol of absolute value we can “force” them to be positive
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ANSWER
Vertical shift: 6 units up
Maximum value: 9
Minimum value: 3
EXPLANATION
The given since function is
Expand and rewrite to obtain,
Or
The vertical shift is 6 units up.
The maximum value is 6+3=9.
The minimum value is -3+6=3
Answer:
The temperature outside is 75.6°F
Step-by-step explanation:
We are given the following in the question:
The temperature of dry ice = - 109.3°F
Let x be the temperature outside in Fahrenheit.
It is given that the temperature of dry ice is 184.9°F less than the outside temperature.
Thus, we can write the equation:
Solving, the above equation, we get:
Thus, the temperature outside is 75.6°F