Answer:
g(x) = x is the base function.
To shrink it vertically by 1/2, make 1/3 the coefficient of the variable x.
To shift it 4 units to the right, subtract 4 from within the squared variable.
To shift 5 units down, subtract 5 from the entire function.
Step-by-step explanation:
Basically look for the intersection points of these two functions by setting them equal to each other.
-x^2 + 6x = 21/4 - x/4
-x^2 + (25/4)x - 21/4 = 0
x = 1 and x = 21/4
Plug these points back to any of the two original equations, you will get
(1,5) and (21/4, 63/16)
Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
we have
This is the equation of the given line in slope intercept form
The slope is 
step 2
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
therefore
The slope of the line parallel to to the given line is
step 3
Find the equation of the line in point slope form
we have
substitute
step 4
Convert to slope intercept form
isolate the variable y
Answer:
B.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Assuming the rate of increase in the cost of tuition fee per year is linear. We would apply the formula for determining the nth term of an arithmetic sequence which is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = $20500(amount in 2000)
From 2000 to 2018, the number of terms is 19, hence,
n = 19
T19 = 454120
Therefore,
454120 = 20500 + (19 - 1)d
454120 - 20500 = 18d
18d = 433620
d = 433620/18
d = 24090
Therefore, the equation that can be used to find the tuition y for x years after 2000 is expressed as
y = 20500 + 24090(x - 1)
To to estimate the tuition at this college in 2020, the number of terms between 2000 and 2020 is 21, hence
x = 21
y = 20500 + 24090(21 - 1)
y = 20500 + 481800
y = $502300
