Question #1
Part A:
The y-intercept can be found when x = 0. If you look at your table, when x = 0, y = 5.
So the y-intercept is 5.Part B:
The slope is 22.Part C:
y = mx + b
y = 22x + 5
We are given 225 as the range, or in place of y.
225 = 22x + 5
220 = 22x
x = 10
The domain is 10.Question #2
Part A:
(2,255)
(5,480)
Standard form is Ax + By = C

Let's plug this into this form first:

Now, let's make it into Standard Form.

What, which is in the box, is your final answer. :)
Part B:
Function notation simply means replacing y with f(x).
We had y = 85x + 55
So your answer is:

Part C:
Using the final answer which we got in Part A, we would know that the y-intercept is (0,55) and the x-intercept is (-55/85, 0). We would plot these 2 points, and then draw a line between them. :)
Answer:
21 matches
Step-by-step explanation:
This is a combination problem where we have to select two member out of 7 members
So we want calculation of 7C2
7C2 = 7!/[(2!)(7-2)!]
(7*6*5*4*3*2*1)/[(2*1) *(5*4*3*2*1]
(7*6)/2 ~ Note everything that easily cancels here!
42/2
21 matches
8x-4 and 4(2x-1)
4(2x-1) the four needs to be distributed in the parentheses.
4*2x=8x
4*(-1)=(-4)
8x-4=8x-4
Answer:
C
Step-by-step explanation:
Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values
sin60° =
, cos45° =
, thus
sin60° =
=
=
( cross- multiply )
2 × opp = 21 ( divide both sides by 2 )
opp = 
Now consider the right triangle on the right, using the cosine ratio
cos45° =
=
=
( cross- multiply )
x =
×
=
→ C