Answer:
x=9
Step-by-step explanation:
This is a downward facing parabola, so its range comes in the form
where m is the y coordinate of the vertex of the parabola.
We can find the x coordinate of the vertex using

And if we plug -1 in the equation we get the y coordinate of the vertex:

So, the range is the interval

Composite number is a positive integer that can be formed by multiplying together two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.[1][2] Every positive integer is composite, prime, or the unit 1, so the composite numbers are exactly the numbers that are not prime and not a unit.
For example, the integer 14 is a composite number because it is the product of the two smaller integers 2 × 7. Likewise, the integers 2 and 3 are not composite numbers because each of them can only be divided by one and itself
Answer:
Step-by-step explanation:
A rectangle rotated about an axis creates a cylinder
Answer:
915 in²
Step-by-step explanation:
The area of the rectangle :
Length = 32 inches
Width = 25 - (10+10) = 25 - 20 = 5 inches
Area of rectangle = Length * width
Area = 32 * 5 = 160 in²
Area of triangle :
Base = 25 inches
Height = (46 - 32) inches = 14 inches
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 25 * 14 = 175 in²
Total area = (160 + 175)in² = 335 in²
Total area of cardboard :
50 inches * 25 inches = 1250 in²
Amount of cardboard not used :
(1250 - 335) in² = 915 in²