Answer:
x + 2, x ≠ -2
Step-by-step explanation:
Note that F(x) = x^2 + 4x + 4 factors into (x + 2)^2, and that we are dividing this by g(x) = x + 2. The quotient is x + 2, which in this problem has been named h(x).
The quotient (f/g)(x) is therefore x + 2 EXCEPT that this is not defined at x = -2, because the denominator, x + 2, will be zero there, undefined.
Answer:
A. 
Step-by-step explanation:
We have that, ΔABC is transformed to get ΔA''B''C''.
We see that the following transformations are applied:
1. Reflection across x-axis i.e. flipped across x-axis.
Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.
2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.
So, ΔA'B'C' is translated 2 units downwards and 6 units to the left to get ΔA''B''C''.
Hence, the sequence of transformations is Reflection across x-axis and then Translation of 2 units down and 6 units left.
Answer:
more than 15.40 cm and less than 14.60 cm
Step-by-step explanation:
A manufacturer of bolts has a quality control policy that requires it destroy any bolts that are more than 4 standard deviations from the mean.
mean length= 15 cm
standard deviation= 0.10 cm
4 standard deviation from mean= 15±(4×0.10)
therefore, bolts of length more than 15+0.4, and less than 15-0.4 will be destroyed
= 15.40 cm and 14.60 cm
Answer:
a congruent triangle is less then 180 and is around 42 degrees
Step-by-step explanation:
Answer:
Anja’s phrase should have ended with “less than –15”, not “at least –15”.
Step-by-step explanation:
Given the statement:
Anja represents the inequality 
with the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.”
Let the number be g.
“the quotient of the difference of 4 and a number and 8" translated to 
"at least" means 
then;
“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to 
Therefore, Anja’s phrase should have ended with “less than –15”, not “at least –15”.