Step-by-step explanation:
First, let's move the 
to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:
From here, since the coefficient of the 
term is 
, we know the square will be 
(since 
it's half of ).
To complete this square, we will need to add 
to both sides of the equation:
Now we can take the square root of both sides to figure out the solutions to :
Answer:
7/10
Step-by-step explanation:
To find the probability that a student is a liberal arts or female, we have to add together all of the people who were female or liberal arts majors in the study. If we add those together, (15 + 18 + 17 + 20) we get 70. 70/100 can be simplified to 7/10.
Answer:
the graph corresponds to function "D" 
Step-by-step explanation:
Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)
From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:
We study both:
function C at x = 0 gives:
while function D at x = 0 gives:
Therefore, the graph corresponds to function "D"
Answer: The second graph
In all but the 3 graphs, the data is perfectly symmetrical. This means that the mean and the median would be the same.
However, in the second graph the data is skewed to the right. This means that the mean would also be skewed to the right due to the larger scores there. Using the median in this case would give a clearer picture of the data.
Principal: $49,000
Depreciation Rate: 50%
Depreciation Time: 5 years
Exponential Function: y = 49,000 (0.50)^x
Plug it in: y = 49,000 (0.50)^4
0.5^4= 0.0625
0.0625 x 49,000 = 3062.5
Value of Car after 20 years: 3062.5
Now, we need to find out how much the car decreases in ONE year.
Half of 3062.5 = 1531.25
1531.25/5 = 306.25
3062.5 - 306.25 = 2756.25
Value of car after 21 years: $2756 ---> 2800 (nearest hundred dollars my bad)
Hope this helps! Have a great day!
