Answer:
[0,∞) {y║y≥0}
Step-by-step explanation:
The absolute value expression has a V shape. The range of a positive absolute value expression starts at its vertex and extends to infinity.
Answer:
Perimeter 182 cm, area= 2,028 cm2
Step-by-step explanation:
The perimeter of the given rectangle is
2(6 cm + 8 cm) = 28 cm
The area of the given rectangle is
(6 cm)*(8 cm) = 48 cm^2
The larger rectangle will have a perimeter of
6.5*28 cm = 182 cm
The larger rectangle will have an area of
6.5^2*48 cm^2 = 2028 cm^2 . . . . . note the scale factor is squared for area
The appropriate choice is the 3rd one, ...
Perimeter = 182 cm, area = 2,028 cm^2
Answer:
9x² -5
Step-by-step explanation:
(f○g)(x) means f(g(x))
Put the definition of g(x) in place of x in the definition of f(x):
f(g(x)) = f(x²) = 9(x²) - 5
(f○g)(x) = 9x² - 5
Answer:
39.39%
Step-by-step explanation:
There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.

1 - Understanding the equation
The '|'s which are surrounding the fraction are absolute value symbols in mathematics,
Absolute value means the positive value of anything inside
<u>Examples</u>:
| -8 | = 8
| 8 | = 8
and
| -2 | = 2
| 2 | = 2
the * 100 means you multiply (the * symbol means multiply) by 100.
We do this to get it into a percent.
3 - Assign numbers to the values from our equation
Original Value (What it changed from): 330
New Value (What it changed to): 200
3 - Plug in our values into our variables from our equation
<em>Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.</em>
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Hope this helps :)
If the discriminant of a quadratic equation, given by B^2-4AC is positive, it has 2 real solutions. If 0, it has 1 real solution and if negative it has 0 real solutions.