Answer:
dom: (-∞,∞)
dom: (–∞,–2)u(–2,∞)
Step-by-step explanation:
*distribute the negative sign into (x+2)!
a parabola (anything that begins with 
) will have a domain of (-∞,∞) or all real numbers!!
use synthetic division to divide (the attached picture)
domain: Because the graph is not continuous, you have to write the domains on both sides of the asymptote which is (-∞,-2)u(-2,∞)
<u>synthetic division:</u>
1. take the divisor (x+2) and solve for x. x= –2 this goes in the top left corner
2. write the numbers AND their signs on the top row. if there is no number and just the variable (like ) just write 1.
3. the first number gets pulled down
4. multiply -2 by 1 and subtract it from –5. (-5-2= -7)
multiply -2 by -7 and add that to the next number in the top row which is -7. (-7 + 14=7)
5. the first number in the bottom row of numbers is the first number in the answer but with one less exponent than the dividend. **write 1 as x**
6. the last number in the bottom row, if it is not 0, is a remainder. write it as that number over the divisor. in this case the remainder is 7. so write it as 
Answer:
c) 2 pi x
Step-by-step explanation:
The circumference is based on the equations:
C = pi * d where d = diameter
We also know that the radius is half of the diameter as its the length of a line from the centre of the circle while the diameter is the length of two opposite points through the centre of the circle.
This tells us that d = 2r
So we can replace the equation for the circumference with:
C = pi * 2r
An increase of x to the radius would thus mean that the circumference is increased by 2(pi * x), as 2(pi * (r + x) could be used to find the new value of the circumference, which is the same as:
2(pi * r) + 2(pi * x)
So the answer is 2 pi x
The third choice, 4x²+18x+0.25=0, is correct.
The frame will have the same thickness on both sides of the mirror. Therefore we add 5+x+x to get the total length, and we have 4+x+x to get the total width.
The area is found by multiplying the total width and total length:
A=(5+x+x)(4+x+x)
A=(5+2x)(4+2x)
Multiplying the binomials, we have:
A=5*4+5*2x+2x*4+2x*2x
A=20+10x+8x+4x²
A=20+18x+4x²
We know that the area is 19.75:
19.75=20+18x+4x²
We need quadratics set equal to 0, so subtract 19.75 from each side:
19.75-19.75 = 20+18x+4x²-19.75
0=0.25+18x+4x²
In standard form, it will be:
4x²+18x+0.25=0
Answer:
The answer is B
Step-by-step explanation:
Find a common multiplier between both which would be 4. then divide each term by 4. all you have left stays in the parenthesees.
4 (2x+5)
