Answer:
- none
- none
- x ≥ 4
Step-by-step explanation:
The restrictions placed on the independent variable in a function are those necessary to ensure that the function is defined for all allowed values of that variable.
In the graphs of problems 1) and 2), we see that the functions are defined for all values of x, so there are no restrictions.
__
3. For the function ...
the value under the radical cannot be negative. The square root function is not defined for negative values, so the restriction is ...
x -4 ≥ 0
x ≥ 4 . . . . . . . add 4 to both sides of the inequality
Answer:
y=-1
x=-3
Step-by-step explanation:
Answer:
Ok so the area of the frame is 18*12 = 216cm^2
Let’s suppose the width of the frame is x
The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432
4x^2 + 60x + 216 = 432
4x^2 + 60x - 216 = 0
x^2 + 15x - 54 = 0
(x+18)(x-3) = 0
Therefore x = {-18,3}
Since width of the frame has to be positive, the width has to be 3cm Step-
i hope i helped!
Answer:
C. f(5) = 13 and f(-3) = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x + 3
x = 5
x = -3
<u>Step 2: Evaluate</u>
x = 5
- Substitute: f(5) = 2(5) + 3
- Multiply: f(5) = 10 + 3
- Add: f(5) = 13
x = -3
- Substitute: f(-3) = 2(-3) + 3
- Multiply: f(-3) = -6 + 3
- Add: f(-3) = -3
The answer is c because it’s 9+6 and then u divide it it just makes more since
