4.56•10•10•10•10•10. The dots mean multiply
2)
2*120 + 2*3.14*40 = 240 + 251.2 = 491.2;
The function g(x) is a rational function, and none of the options represent the range of the function g(x)
<h3>How to determine the range of the function?</h3>
The function is given as:
g(x) = -2/x + 1
The above function is undefined at point x = 0.
This is so because -2/x is undefined.
So, we have:
g(0) = -undefined + 1
g(0) = undefined
This means that the range of the function is:
(-infinity, 1) and (1, infinity)
None of the options represent the range of the function g(x)
Read more about range at:
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Answer:
Some of the Exponents = -2 that is true, not 2.
Step-by-step explanation:
Let's check one at a time.
(a)The 6 without an exponent is equivalent to the 6 having a 0 exponent.
and 
= 6 (no exponent. 6 
1 therefore this statement is False.
(b)The sum of the exponents is -2.
let's check , if the base is same we can add the exponents that is the exponent rule.(well established).
if we add exponents in the given expression we get.
, therefore we can see that the sum of the exponents = -2 this is true.
(c) An equivalent expression is 65.6-7, lets evaluate our above expression, it is equal to 
which we can see that 
,therefore this statement is false as well.
Answer: 51.86 and 23.14
Step-by-step explanation:
The rectangular garden must have a perimeter of 150 feet
Perimeter of rectangular garden =
2l + 2w=150 -----------1
The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.
Area of rectangular garden =
l×w= 1200 feet^2 -----------2
From equation 2, l=1200/w
Put l=1200/w in equation 1
2× 1200/w + 2w = 150
(2400/w) +2w = 150
(2400+2w^2)/w =150
2400+2w^2= 150w
2w^2- 150w+2400=0
Using the general formula
w = [-b+-√(b^2-4ac)]/2a
a = 2, b =-150, c=2400
w =[--150+/-√(-150^2-4×2×2400)]/2×2
=[150+/-√(22500-19200)]/4
=[150+/-√3300)]/4
=(150+57.45)/4 or (150-57.45)/4
w= 207.45/4 or 92.55/4
w= 51.86 or w= 23.14
l = 1200/51.86 or l= 1200/23.14
l = 23.14. or l= 51.86
For an area of at least 1200ft^2
The dimensions are 51.86 and 23.14
