Answer:
Domain: [-7, ∞)
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
Step-by-step explanation:
<u>Step 1: Define function</u>
g(x) = √(x + 7)
<u>Step 2: Determine</u>
We know that we cannot have a negative under the square root as it will produce imaginary numbers. Therefore, on a real number scale, the square root can be no less than or equal to 0.
We see from the function that in order to get 0 under the square root, x = -7. If we have x = -8, we would get -1 under the square root, thus giving us an imaginary numbers.
Therefore, our domain is x ≥ -7 or [-7, ∞).
You use the first formula. You plug in the values to get A=400(1+(0.05/1))^6. You should get approximately $536.04. I used 0.05 because you need to change the percent to a decimal, and 1 for n because it is compounded annually, meaning once a year.
Answer:
Step-by-step explanation:
Sam bought a chocolate. He ate some and leaving 0.75 for Alice.
Alice ate 18.50 grams of chocolate and return the rest to Sam, which was 65% of the original chocolate. How much chocolate did Sam had at the beginning?
Now solve the equation:
0.75x - 18.50 = 0.65x
Combine the like terms:
0.75-0.65x = 18.50
0.1x= 18.50
x = 18.50/0.1
x=185
This shows that Sam had 185 grams of chocolate...
Answer:
L = P/2 - W
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</u>
P = 2L + 2W
<u>Step 2: Solve for </u><em><u>L</u></em>
- Subtract 2W on both sides: P - 2W = 2L
- Divide 2 on both sides: (P - 2W)/2 = L
- Distribute division: P/2 - W = L
- Rewrite: L = P/2 - W
A square with 1,536 soldiers are not possible, i.e. the square root of 1,536 is about 39.191, which means that 1,536 is not a square a number. In order for it to be a square number, we have to round up 39.191 (because it says "how many more soldiers") to 40 and 40×40=1,600 and 1,600-1,536, so we need 64 more soldiers.
The greatest 4 digit number is simple. If the square root of 10,000 is 100, than, one can assume that because 100-1=99, the resulting answer of 99×99 is less than 10,000, meaning that is is 4 digits. 99×99=9,801.
