Answer:
Step-by-step explanation:
The point slope form of a line is the form where m is the slope and is a point on the line.
Here the slope is 5 and the point is (2,3).
Substitute and you'll have:
Answer:
1) x=6, y=-6 which is (6,-6) as an ordered pair
3) x=10, y=-1 which is (10,-1) as an ordered pair
Step-by-step explanation:
Question 1:
<u>Solve them like an addition problem:</u>
-4x-2y=-12
4x+8y=-24
________
(-4x+4x)+(-2y+8y)=(-12+-24)
0x+6y=-36
6y=-36
y=-6
<u>Plug value of y into one of the original equations:</u>
4x+8(-6)=-24
4x-48=-24
4x=24
x=6
Question 3:
<u>Solve them like an addition problem:</u>
x-y=11
2x+y=19
_______
(x+2x)+(-y+y)=11+19
3x+0y=30
3x=30
x=10
<u>Plug value of x into one of the original equations:</u>
10-y=11
-y=1
y=-1
Answer:
n= -6
Step-by-step explanation:
9514 1404 393
Answer:
- C. (-∞, -2)∪(-2, 1)∪(1, ∞)
- A. The first 12 are $2 ea; $1 ea after
Step-by-step explanation:
1. The denominator in the first part of the function definition factors as ...
x² +x -2 = (x -1)(x +2)
This has zeros at x = -2 and x = 1, which will be values of x excluded from the domain. (These zeros are in the domain x < 2, which is applicable to this part of the function definition.)
The second part of the function definition is defined for all x ≥ 2, so the only exclusions are x = -2 and x = 1. The domain of the piecewise function is ...
(-∞, -2)∪(-2, 1)∪(1, ∞)
__
2. It is helpful to take a look at the graph to see what the axis labels are. The x-axis is labeled "number of cupcakes", so "12" on that axis means "12 cupcakes". The y-axis is labeled "total cost", which we are to presume is in dollars. That means the slope of the graph is Δy/Δx = "dollars per cupcake", the cost of one cupcake.
We observe that the slope of the graph decreases at x=12. This means the cost of a cupcake goes down after 12 are purchased. The appropriate description is ...
The first 12 cupcakes cost $2 each, and all cupcakes after that cost $1 each.
(The other choices have either increasing slope at the breakpoint, or a different breakpoint, or both, so cannot be right.)