Answer:
B.) 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x - y = -1
3x + 5y = 21
<u>Step 2: Rewrite Systems</u>
x - y = -1
- Add <em>y</em> to both sides: x = y - 1
<u>Step 3: Redefine Systems</u>
x = y - 1
3x + 5y = 21
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 3(y - 1) + 5y = 21
- Distribute 3: 3y - 3 + 5y = 21
- Combine like terms: 8y - 3 = 21
- Add 3 to both sides: 8y = 24
- Divide 8 on both sides: y = 3
Answer:
8, 13, 18
Step-by-step explanation:
If we want the mean to be 13, and there are 3 integers, that means the sum of all 3 integers must be 39. I started at 13 and counted 5 up and 5 down, which already makes sure of the range and the mean is 13 (since it's balanced with 13 being the middle), therefore, 13+5 is 18, 13-5=8.
Answer:
07
Step-by-step explanation:
3z - 7 = 14
3•7=21
21 - 7 = 14
9514 1404 393
Answer:
y = (x -1)² -16
Step-by-step explanation:
Note the location of the vertex (point A) on the graph. Its x-coordinate is readily identifiable as 1. Its y-coordinate is some value between -15 and -20, closer to -15. (If you go to the trouble of finding the vertex coordinates, you discover they are (1, -16).)
Once you have determined what the vertex is, you can compare the offered answer choices to the vertex form ...
y = (x -h)² +k
where (h, k) are the vertex coordinates. That is, you are looking for an answer choice that is something like ...
y = (x -1)² -16
Answer: D: X3
Step-by-step explanation:
