Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function
, and then transform it into the function: 
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)
Answer:
x=y/7
Step-by-step explanation:
So, the variable x is the number of jars of honey.
y is the total price of the honey.
So, x=y/7
or,
y=7x
Answer:
Mean is 3.05
Standard deviation is 1.69.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are foreign, or they are not. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability distribution
The probability of x sucesses on n repeated trials, with p probability.
In this problem, we have a sample of 50 students, so
. The proportion of all UNC students that are foreign students is 0.061, so
.
The mean is given by the following formula:

The standard deviation is given by the following formula:

Answer:
7x(3+2)=35x
add:
3+2=5
multiply:
7x(5)=35x
just using the distributive property, nothing more
Answer:
Step-by-step explanation:
Hypotenuse = AC = 8 cm
AB = 6 cm
BC² + AB² = AC²
BC² = AC² - AB²
= 8² - 6²
= 64 - 36
= 28

BC = 5.29 cm