Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (5, -6)
Point (4, 3)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:

- [Fraction] Subtract:

- [Fraction] Divide:

Answer:
None of these answers would work. You may have typed some wrong perhaps?
Answer:
Only (-2, 9) is the solution of the equation.
Hence, option 'b' is correct.
Step-by-step explanation:
Given the equation
y = -2x+ 5
<u>Checking the ordered pair (2, -9)</u>
substituting x = 2 and y = -9 in the equation
y = -2x + 5
-9 = -2(2) + 5
-9 = -4 + 5
-9 = 1
FALSE!
L.H.S ≠ R.H.S
Thus, the ordered pair (2, -9) is NOT a solution of the equation.
<u>Checking the ordered pair (-2, 9)</u>
substituting x = -2 and y = 9 in the equation
y = -2x + 5
9 = -2(-2) + 5
9 = 4 + 5
9 = 9
TRUE!
L.H.S = R.H.S
Thus, the ordered pair (-2, 9) is a solution of the equation.
Conclusion:
Only (-2, 9) is the solution of the equation.
Hence, option 'b' is correct.
Answer:
<em>x=25/16</em>
Step-by-step explanation:
<u>Approximate Roots of Functions:</u>
We are required to find the root of

Let's construct a function

Reducing:

The equation will have a solution when f(x)=0. We'll start from the approximate crossing point given in the graph (x=1.5)

We'll move up on x=1.52

We are closer to the solution, let's try some more up

This value x=1.54 is close enough to the solution of the original equation
From the options given,
is the closest to our solution
