Domain is the numbers you can use
we can use all real numbers for this one
rangge is the numbers we get from inputting the domain
well, this is a 4th degree, so we need to find the minimum,because the leading coefient is positive so it opens up, and as x approaches negative and positive infinity, then f(x) approaches infnity
find minimum
take derivitive
f'(x)=4x^3-18x^2-8x+54
the zeroes are at about -1.652 and 1.9381 and 4.2145
we use a sign chart
the minimum occurs at hwere the derivitive changes from negative to positive
that is at -1.652 and 4.2145
evaluate f(-1.652) and f(4.2145)
f(-1.652)=-110.626
f(4.2145)=-22.124
the least value is -110.626
that is the minimum
so the domain is all real numbers
range is from -110.626 to infinity
Answer:
42.5
Step-by-step explanation:
see attached image.
Answer:0.82
Step-by-step explanation:
The first step is to determine the areas of the inner and the bigger circles.
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Considering the inner circle,
diameter = 148.4 cm
Radius = 3 inches
Area = 3.14 × 3² = 28.26 inches²
Considering the bigger circle,
Radius = 7 inches
Area = 3.14 × 7² = 153.86 inches²
The area between the bigger and inner circles is
153.86 - 28.26 = 125.6 inches²
Probability = number of favourable outcome/number of total outcome.
the probability you land inside the bigger circle but outside smaller circle is
125.6/153.86 = 0.82
Answer: $12.45
Explanation: Two cartons cost $4.98, divide 4.98 by two to find the price of one carton of soda, 4.98 divided by 2 = $2.49. Multiply by 5 to find the cost of five cartons of soda. $2.49•5=$12.45
Answer:
x = -1
Step-by-step explanation:
Let me know in the comments if you need an explanation I tried to get it to you as quick as possible :)
Plus it looks in the picture like you only need the answer and you don't need work. :)
