Answer:
y= -5x +7
Step-by-step explanation:
We can see points on the graph:
The function in general form is:
Let's find the slope and y-intercept as per identified points on the graph:
b= y- mx
- b= - 3 -(-5)*2= -3 +10= 7
Based on the found values of m and b, the given line is:
Answer:
The answers are below
Step-by-step explanation:
The greater sign is > and the less then symbol is <
Using the red arrows on the number line, you can tell which one is bigger or less. The dot is colored in so it has to have a line under it. So for the first one (top, left), The red arrow is pointing to the right side meaning x is bigger than 3. Therefore x ≥ 3.
In the next one (top, right) the arrow is pointing to the negative side so that one must be less than 3. The dot is also colored in meaning it is: x ≤ 3
In the next one (bottom, left) the arrow is pointing to the right, the dot not colored in, so it has no line. Therefore it is x > 3
Last one (bottom right) the arrow is pointing left, dot is white meaning that the answer is x < 3
If you're wondering what the open dots and closed dots mean:
An open dot is used to show that the ray's endpoint is not a component of the solution when the inequality is "strict" ( < or >).
A closed dot is used to denote that the endpoint is a component of the solution for the other types of inequalities (≥ and ≤ ).
Answer:
n = 11
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
- Vertical Angles: Angles that are across from each other and are congruent
Step-by-step explanation:
<u>Step 1: Set up equation</u>
<em>Vertical angles must be congruent.</em>
(6n - 4)° = (5n + 7)°
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 5n on both sides: n - 4 = 7
- Add 4 to both sides: n = 11
Answer:
72
Step-by-step explanation:
First differences are ...
18 -17 = 1
22 -18 = 4
31 -22 = 9
47 -31 = 16
We observe that these are square numbers. The next square number is 25, so we expect the next number in sequence to be ...
47 +25 = 72
