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:
For this distribution of test scores, the standard deviation is equal to the square root of 9
D) 9
Step-by-step explanation:
We need to know the standard deviation formula:
(1)
Where:
S: Standard deviation
sum: Summation
x: Sample values
Am: Arithmetic mean
n:
Number of terms, in this case 3
Now, we need to know the arithmetic mean of the sample values: 2, 5 and 8

To know the standard deviation we need to have the summation of each term minus the arithmetic mean squared.
of each term:

Now, we can find the standard deviation:

The standard deviation is equal to the square root of 9
Let the function be represented by f(x).
Multiplying the number x by 4 results in 4x. Subtracting 2 from results give 4x - 2. So the function becomes:
f(x) = 4x - 2
Finding the inverse function:
Replace f(x) by y, and isolate x on one side of the equation and find the inverse:

Yes the inverse function represents the reverse process. Original function involved multiplication by 4 and then subtraction of 2. Inverse function involves addition of 2 and then division by 4. So the inverse represents the reverse of the given process.
What art? May you add additional words so that i may assist you?
Hi! To caculate this problem you want to do 29.8 divided by 4. Since there is a 29.8 foot rope and they are wanting to cut it into 4, you need to divide. It will end up dividing into a decimal but will not repeat!
Hope this works! If not please comment what else you are looking for!