Answer:
Step-by-step explanation
Note that if x>2, then x+3>3+2=5. Then x+3>0. Recall that the absolute value function is defined as


Since x+3>0, we have that |x+3|=x+3
Answer:
3x^2-9=0
Step-by-step explanation:
√3 does not equal a whole number.
Answer:
Vertical asymptote:x=-4
Horizontal asymptote: y=2
Step-by-step explanation:
The given rational function is

To find the vertical asymptote we equate the denominator to zero and solve for x.
x+4=0
The equation of the vertical asymptote is
x=-4
To find the horizontal asymptote we take limit to infinity. Or simply express the coefficient of x in the numerator over the coefficient of x in the denominator since this is a proper rational function.
The horizontal asymptote has equation

Answer:
dilation 10 left and 3 down
Step-by-step explanation:
Answer:
45000000000
Step-by-step explanation:
when multiplying exponents, you multiply base numbers with no exponent (9 and five in this case) and numbers with exponents (10 in this case). 9 X 5 is 45 and 10 to the power of 7 times 10 to the power of 2 is 10 to the power of 9 or 1000000000. 45 X 1000000000 is 45000000000.