Answer: [-1/8, infinity) , {x | X greater than or equal to -1/8}
Step-by-step explanation:
Domain is what x can be. Thus, in the function f(x), we place limits such as x cannot make the square root a negative number because then it would not be a real number. Thus 8x+4-3 can be simplified to 8x+1. Setting this to 0, we get 8x+1=0 which solves out to x cannot equal -1/8. Thus, x can equal and be greater than -1/8.
The quotient is: 
The remainder is: 0
Step-by-step explanation:
Solve using synthetic division:

The division is shown in figure attached.
The quotient is: 
The remainder is: 0
Keywords: Synthetic division
Learn more about Synthetic division at:
#learnwithBrainly
Answer:
Step-by-step explanation:
From the problem statement, we can create the following equation:

where
is the age of James,
is the age of Paul, and
is the age of Dan.
From the first part of the second sentence, we can set up the following equation:

From the last part of the second sentence, we can set up the following equation:

We can substitute the second equation into the last one to get the following:



We can then substitute the last two equations in the first to solve for
:



Plugging this into the other two equations will give us the remaining ages:






The area of the polygon is 25.5 square units
<h3>How to determine the area of the polygon?</h3>
From the figure, we have the following coordinates
A = (-2, 1)
B = (3, 2)
C = (5, -3)
D = (-1, -3)
The area of the polygon is then calculated as:
A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|
Substitute the known values in the above equation
Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3 - 5 * 2) + (5 * -3 + 1 * -3) + (-1 * 1 + 2 * -3)|
Evaluate the sum of products
Area = 0.5 * |-51|
Remove the absolute bracket
Area = 0.5 * 51
Evaluate the product
Area = 25.5
Hence, the area of the polygon is 25.5 square units
Read more about areas at:
brainly.com/question/25292087
#SPJ1
Divide 81/289 and see the decimals value
then check each answer choice and the one with the same decimals value as your question is your answer