Part a.
The domain is the set of x values such that 
, basically x can be equal to -1/2 or it can be larger than -1/2. To get this answer, you solve 
for x (subtract 1 from both sides; then divide both sides by 2). I set 2x+1 larger or equal to 0 because we want to avoid the stuff under the square root to be negative.
If you want the domain in interval notation, then it would be 
which means the interval starts at -1/2 (including -1/2) and then it stops at infinity. So technically it never stops and goes on forever to the right.
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Part b.
I'm going to use "sqrt" as shorthand for "square root"
f(x) = sqrt(2x+1)
f(10) = sqrt(2*10+1) ... every x replaced by 10
f(10) = sqrt(20+1)
f(10) = sqrt(21)
f(10) = 4.58257569 which is approximate
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Part c.
f(x) = sqrt(2x+1)
f(x) = sqrt(2(x)+1)
f(x+2a) = sqrt(2(x+2a)+1) ... every x replaced by (x+2a)
f(x+2a) = sqrt(2x+4a+1) .... distribute
we can't simplify any further
The equation of the given line above is y=3x-1. The slope of the line is 3/1 (3x) and the y-intercept which is where the line crosses the y-axis is (0,-1) When you plug these parameters into the equation you will get the equation y=3x-1
-3x+9 = -3(2x+3) + 3(x-4)+1
distribute
-3x+9 =-6x-9+3x-12+1
add like terms
-3x+9= -3x-20
add 3x to each side
9 = -20
there are no solutions because 9 does not equal -20
Answer:
k>-2
Step-by-step explanation:
4k+15>-2k+3
4k-(-2k)+15>3
4k+2k+15>3
6k+15>3
6k>3-15
6k>-12
k>-12/6
k>-2
The price of this wrapping paper per inch is equal to $1,198.08.
<u>Given the following data:</u>
- Cost of wrapping paper = $12.48.
- Length of wrapping paper = 8 foot.
To determine the price of this wrapping paper per inch:
<h3>
How to solve the problem.</h3>
In this exercise, you're required to solve for the cost of an 8-foot roll of wrapping paper that costs $12.48. Thus, we would convert the length of this wrapping paper in foot to inch and then multiply by $12.48.
<u>Conversion:</u>
1 foot = 12 inch
8 foot = X inch
Cross-multiplying, we have:
X = 96 inch
For price per inch:
Price = $1,198.08
Read more on word problems here: brainly.com/question/13170908
