F(x)=2x(2)−96
Step 1: Add -4x to both sides.
xf+ −4x = 4x−96+ −4x
xf −4x= −96
Step 2: Factor out variable x.
x(f−4)= −96
Step 3: Divide both sides by f-4.
x(f−4)/ f−4 = −96/ f−4
x= −96/f−4
Answer:
x= −96/ f−4
In scientific notation, it would be 2x10^3.
An easy trick to help remember when it is a multiple of 10 is that you do the numbers that aren't zero (2) times 10 and the exponent is how ever many zeros there are after the other numbers (3).
Answer:
Step-by-step explanation:
x + 6 = 0
x = -6
-x + 1 = 0
-x = -1
x = 1
x = -6, 1
Answer:
p = 7/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
-4p + 9 = -5
<u>Step 2: Solve for </u><em><u>p</u></em>
- Subtract 9 on both sides: -4p = -14
- Divide -4 on both sides: p = 7/2
<u>Step 3: Check</u>
<em>Plug in p into the original equation to verify it's a solution.</em>
- Substitute in <em>p</em>: -4(7/2) + 9 = -5
- Multiply: -14 + 9 = -5
- Add: -5 = -5
Here we see that -5 does indeed equal -5.
∴ p = 7/2 is the solution to the equation.
Answer:
b=204
Step-by-step explanation:
The law of sine states that: 
We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle:
°.
Using these two things, we can come up with the equality
, which we can use to solve for side b.
, so we know that
.
Next, we would multiply both sides by b to get
.
Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77
Since the problem asks us to round to the nearest whole number, b=204
Hope this helps! :)