A number is added to the square of itself and the result is 90. Find all possible values for the number
1 answer:
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Answer:
(A)The area of the square is greater than the area of the rectangle.
(C)The value of x must be greater than 4
(E)The area of the rectangle is
Step-by-step explanation:
The Square has side lengths of (x - 2) units.
Area of the Square
The rectangle has a length of x units and a width of (x - 4) units.
Area of the Rectangle =
<u>The following statements are true:</u>
(A)The area of the square is greater than the area of the rectangle.
This is because the area of the square is an addition of 4 to the area of the rectangle.
(C)The value of x must be greater than 4
If x is less than or equal to 4, the area of the rectangle will be negative or zero.
(E)The area of the rectangle is
Option B: 5 is the value of f(3)
Explanation:
The equation of the piecewise function is given by
We need to find the value of
The value of the function f can be determined when by identifying in which interval does the value of
lie in the piecewise function.
Thus, lies in the interval
, the function f is given by
Substituting in the function
, we get,
Thus, the value of is 5.
Therefore, Option B is the correct answer.
Answer:
10.36
Step-by-step explanation:
So your solution would be:
Just try to remember PEMDAS.
Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.
This is the order we follow when going about expressions with many operations.
Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.
Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.
We have a fraction so we do that first. Then we do the multiplication after.
Next we do the addition/subtraction. Again, whichever comes first.