ANSWER
7 units left.
EXPLANATION
The parent function is

The transformation

shifts the graph of the function, a units to the left.
Therefore the transformation that describes how to translate the graph of
y=|x| to obtain y=|x+7| is 7 units left.
The third choice is correct
It would be B because it is the opposite of what the equation is. Hope this helps!
A. Re(z)= 32 and Im(z)= 41.9
The real part of a complex number z=a+bi is ‘a’, and the imaginary part is ‘b’
Answer:
Step-by-step explanation:
The easiest way to start is to do this problem is to start changing the 3/4 cup to a decimal
3/4 = 0.75
Now divide that into 11. What you are interested in is the remainder.
11/0.75 = 14.66667
He can make 14 whole pizzas.
He has 0.66667 of a cup left over which is less than 3/4 (or 0.75) so he does not have enough for another pizza.
So the answer is 0.66667 which is 2/3 of a cup is left over.
Answer:
option (a) It will be closer to 30 than to 20
Step-by-step explanation:
Data provided in the question:
For sample 1:
n₁ = 10
variance, s₁² = 20
For sample 2:
n₂ = 15
variance, s₂² = 30
Now,
The pooled variance is calculated using the formula,

on substituting the given respective values, we get

or
= 26.0869
Hence,
the pooled variance will be closer to 30 than to 20
Therefore,
The correct answer is option (a) It will be closer to 30 than to 20