Answer:
(-1, -1)
Step-by-step explanation:
One way to write the relationship between the x and y coordinates and θ is ...
tan(θ) = y/x
Then ...
y = x·tan(θ) = -1·tan(-3π/4) = -1·1
y = -1
The coordinates of the point on the terminal side are (x, y) = (-1, -1).
Step-by-step explanation:
=(g-f)(n)
=4n+7-2n-3
=2n+4
Answer:
A. f(x) = (4x+5)(x-3)
B. Since +4 > 0, the graph opens up
as always, the vertex is at x = -b/2a = 7/8
C. plot the vertex at (7/8, -18 1/16)
pick a point or two, say at x=0,1,2 and plot them. then draw a curve through them.
Step-by-step explanation:
f(x) = 4x^2 − 7x − 15
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
Let's first determine the total number of the students.
=> 10 freshman
=>12 sophomores
=>15 juniors
<span>=> 30 seniors in the club. </span>
Since the adviser will only chose 1, let's add then divide by 4 to get the average.
=> 10 + 12 +15 + <span>30 = 67 students
</span>=> 67 / 4 = 16.75
OR close to
<span>=> 15/67</span>
Answer:
$285
Step-by-step explanation:
So let's quickly analyze the problem, it is asking us how much Roger makes as a commission on sales if he earns 3% on sales for $9,500.
We can make the 3% into a decimal, by dividing it by a 100.
3/100=0.03
Now that we have a decimal to work with, we can multiply this to the amount of sales,
9500 x 0.03= $285 ( He earns $285 as commission for $9500)