Answer:
option (a) f(x)= 1/x+2
Step-by-step explanation:
(a) f(x) = 1/ x+2
To find the restriction for domain , we set the denominator =0 and solve for x
x+2 =0, so x=-2
When x=-2 then denominator becomes 0 that is undefined.
So, domain is all real numbers except -2
(b) f(x)= 2x
In this function, there is no denominator or square root or log function
so there is no restriction for x, hence domain is all real numbers
(c) f(x) = 2x-2
In this function, there is no denominator or square root or log function
so there is no restriction for x, hence domain is all real numbers
f(x) = 1/ sqrt(x+2)
if we have square root in the denominator then we set the denominator >0 and solve for x. because square root of negative values are undefined
x+2>0, x>-2
Hence domain is all real numbers that are greater than -2
Answer:
$87,461
Step-by-step explanation:
Given that the dimensions or sides of lengths of the triangle are 119, 147, and 190 ft
where S is the semi perimeter of the triangle, that is, s = (a + b + c)/2.
S = (119 + 147 + 190) / 2 = 456/ 2 = 228
Using Heron's formula which gives the area in terms of the three sides of the triangle
= √s(s – a)(s – b)(s – c)
Therefore we have = √228 (228 - 119)(228 - 147)(228 - 190)
=> √228 (109)(81)(38)
= √228(335502)
=√76494456
= 8746.1109071 * $10
= 87461.109071
≈$87,461
Hence, the value of a triangular lot with sides of lengths 119, 147, and 190 ft is $87,461.
Well, it would become 5/7x=40.5. Divide both sides by 5/7, so it is 40.5 * by the reciprocal of 5/7 (7/5). The answer is 56.7 pounds.
Answer: The surface area of the sides of the sandbox that Gabe wants to paint is 47ft2
Step-by-step explanation:
Hi to answer this we have to apply the formula:
Surface Area of a rectangular prism = 2lw + 2wh + 2lh
Where:
l= length
w= width
h= height
Since the sandbox is open , it has one less surface (length x width), we have to add only one lw term.
Surface Area of the sandbox = lw + 2wh + 2lh
A = (4x5) + 2( 5x1.5) + 2( 4x1.5)
A = 20+15+12
A= 47 ft2
