Hey There,
The equation would be y = 4x - 45
Point slope formula
(y-y1)=m(x-x1)
Plug in the numbers
(y-3)=4(x-12)
Solve for y.
4 * x = 4x
4 * -12 = -48
Bring 3 to the other side (change the sign)
-48 +3 = 45
Therefore, the equation would be y = 4x - 45
Answer:
3 8/15
Step-by-step explanation:
2 1/5 + 1 1/3 = 3 8/15
Answer:
x = 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
(7x - 1) + (13x - 19) = 180
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 20x - 20 = 180
- Isolate <em>x</em> term: 20x = 200
- Isolate <em>x</em>: x = 10
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: (7(10) - 1) + (13(10) - 19) = 180
- Multiply: (70 - 1) + (130 - 19) = 180
- Subtract: 69 + 111 = 180
- Add: 180 = 180
Here we see that 180 does indeed equal 180.
∴ x = 10 is the solution to the equation.
Answer:
5 amperes will produce the maximum power of 300 watts.
Step-by-step explanation:
The general form of a quadratic function presents the function in the form

The vertex of a quadratic function is the highest or lowest point, also known as the maximum or minimum of a quadratic function.
We can define the vertex by doing the following:
- Identify a, b, and c
- Find, the x-coordinate of the vertex, by substituting a and b into

- Find, the y-coordinate of the vertex, by evaluating

We know that the power generated by an electrical circuit is modeled by

This function is a quadratic function.
To find the current that produce the maximum power you must
a = -12 and b = 120
- Find, the maximum current of the vertex, by substituting a and b into


- Find, the maximum-power, by evaluating


5 amperes will produce the maximum power of 300 watts.
We can check our work with the graph of the function
and see that the maximum is (5, 300).
Step-by-step explanation:
1st) Distribute 8 with x and 8 with -1 which will give you
8x-8=5x-35
2nd) Use opposite operation and add 8 both sides
8x-8=5x-35
+8 +8
---------------
8x=5x-27
3rd) subtract 5x from both sides
8x=5x-27
-5x= -5x
_______
3x=-27
4th) Divide 3 from both sides so -27 by 3
3x=-27
_ _
3 3
ANSWER X=-9