For the first question, the answer is A (<em>p</em> = 27)
For the second one, I think that the answer is C
I got (-6.28, -0.76).
Step 1.) Write out the problems
-2x=8-6y
-15x=21-6y
Step 2.) Pick a problem and solve for X
-2x=8-6y = x=-4-3y
Step 3.) Plug in the x
(-15)(-4-3y)= 21-6y
60 + 45y= 21-6y
Step 4.) Solve for y
y=-0.76
Step 5.) Plug in the y value into one of the equations
-2x= 8- 6(-0.76)
-2x= 8 + 4.56
x= -6.28
Step 6.) Check your answers
-2(-6.28)=8-6(-0.76)
12.56=12.56
Step 7.) Write it out
(-6.28,-0.76)
Here are a few things you'll need to know for this question:
- Domain: <u>The list of x-values that are possible on a line.</u>
- Range: <u>The list of y-values that are possible on a line.</u>
- Interval Notation: <u>Shows the domain/range using the endpoints</u>. Brackets mean that the endpoint is included, parentheses mean the endpoint is excluded. Ex: (2,10]. 2 is excluded, 10 is included.
- Closed Circles: <u>The endpoint is included.</u>
- Open Circles: <u>The endpoint is excluded.</u>
So firstly, let's look at the domain. We see that there is a closed circle at x = -2 and an open circle at x = 5. Using what we know, <u>the interval notation of the domain is [-2,5).</u>
Next, let's look at the range. We see that there is a closed circle at y = -5 and an open circle at y = 2. Using what we know, <u>the interval notation of the range is [-5,2).</u>
Answer:
E) 31
Step-by-step explanation:
0 x 2 + 1 = 1
1 x 2 + 1 = 3
3 x 2 + 1 = 7
7 x 2 + 1 = 15
15 x 2 + 1 = 31