The third choice
If you have a negative exponent n^-6 it becomes 1/n^6
And 1 times p^3 is equal to p^3
So the correct answer is p^3/n^6
Answer:
x = 29/6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
8x - (2x - 13) = 42
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute negative: 8x - 2x + 13 = 42
- [Subtraction] Combine like terms: 6x + 13 = 42
- [Subtraction Property of Equality] Subtract 13 on both sides: 6x = 29
- [Division Property of Equality] Divide 6 on both sides: x = 29/6
<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>: 8(29/6) - [2(29/6) - 13] = 42
- Multiply: 116/3 - [29/3 - 13] = 42
- [Brackets] Subtract: 116/3 - -10/3 = 42
- Subtract: 42 = 42
Here we see 42 does indeed equal 42.
∴ x = 29/6 is the solution.
Answer:
y = 3x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 7 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation
To find c substitute (1, 4) into the partial equation
4 = 3 + c ⇒ c = 4 - 3 = 1
y = 3x + 1 ← equation of parallel line
Answer:
Step-by-step explanation:
the function shows a comparison between 2 objects that change
If we use function notation, the Average Rate of Change of a function from a to b can be formulated as:
ROC = rate of change
The graph shows the amount earned vs hours worked
There are two points on the graph that can be used as a reference for finding ROC
Point (2,26) and (5,65)
the rate of change (ROC) :
done...
Answer:
Those triangle which two sides are equal is called isosceles triangle. It means one angle of isosceles triangle is 114° than other sides/angles are also 114°.
