Answer:
The profit is 20 cents per pastry
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
So we have the equation:

And we want to find out which of the answer choices is <em>not</em> equivalent.
Thus, let's go through each of the choices.
A)
We have:

This is correct.
Our original equation can be written as:

And if we multiply straight across:

We'll get choice A. So choice A is correct.
B)
We have:

This is also correct.
From our original equation:

If we multiply the first term together:

We'll get choice B. So, choice B is correct.
C)
We have:

This is correct as well.
If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:

So, C is also correct.
D)
We have:

Note that this is not correct.
This attempted to use the distributive property. However, the distribute property does <em>not work</em> for multiplication. For instance:

However:

So, choice D is not equivalent.
So choice D is our answer :)
If we evaluate it, we will get 30, in contrast to the 60 of the others.
Answer:
(a) g(x) has a greater slope
(b) g(x) has a greater y intercept
Step-by-step explanation:
Given



Solving (a): Compare the slopes
Slope (m) is calculated as:

So, for f(x), we have:



For g(x), we have:
Assume
then the slope is m
Compare the above to 
Then the slope of g(x) is 4
g(x) has a greater slope
Solving (b): Function with greater y intercept
Here we set 
From the table of f(x)
when 
From 


Hence:
g(x) has a greater y intercept
Answer:
The egg hits the ground after 6 seconds.
Step-by-step explanation:
Given that an egg dropped from a height of 36 feet, this means the egg was 36 feet away from the ground.
The distance is given as
d = -t² + 36
The egg hits the ground when the distance, d, from the ground is zero.
That is when
-t² + 36 = 0
Or
t² = 36
Taking square roots of both sides
t = ±√36
t = ±6
Since we are dealing with distance, we take the positive value.
So, t = 6 seconds