Answer:
#1: -2 ≤ y ≤ ∞
#2: -2 ≤ x ≤ 2
#3: -4 ≤ y ≤ 3
#4: -5 ≤ y ≤ ∞
#5: 0 ≤ x ≤ ∞
Step-by-step explanation:
To do these, you must understand what range and domain are:
Range: all the values that y can be
Domain: all the values that x can be
#1: It's asking for range, so look at the posible y values. The smallest y value is -2, and the largest is actually infinity. So, the range is: -2 ≤ y ≤ ∞.
#2: It's asking for domain, so look at the possible x values. The smallest is -2 and the largest is 2, so: -2 ≤ x ≤ 2.
#3: Again, it's asking for range, so look at the possible y values. The smallest is -4, and the largest is 3, so: -4 ≤ y ≤ 3.
#4: It's asking for range. The smallest value is -5, and the largest goes to infinity (from the arrows), so: -5 ≤ y ≤ ∞.
#5: It's asking for domain. The smallest x value is 0, and it goes to infinity. So: 0 ≤ x ≤ ∞.
The product of the sum of two perfect cubes:
a³ + b³ = (a + b)(a² - ab + b²)
The product of the difference of two perfect cubes:
a³ - b³ = (a - b)(a² + ab + b²)
----------------------------------------------------------------------------------------------------------------
Remember to follow FOIL:
(b^2 + 8)(b^2 - 8)
(b^2)(b^2) = b^4
(b^2)(-8) = -8b^2
(8)(b^2) = 8b^2
(8)(-8) = -64
b^4 - 8b^2 + 8b^2 - 64
Combine like terms:
b^4 (-8b^2 + 8b^2) - 64
b^4 - 64
b^4 - 64 is your answer
hope this helps
Y=x+10
y is the total cost
x is the number of toppings times $1
10 is the cost of the pizza
Answer:
16 cm^2
Step-by-step explanation:
Hope this helps
Answer:
96.2*10^5 gallons
Step-by-step explanation:
gallons of milk produced by 1 cow = 2.6×10^3
No. of cows with local dairy farm = 3.7×10^3
Total of gallons of milk produced by farm = gallons of milk produced by 1 cow * No. of cows with local dairy farm = 2.6×10^3 * 3.7×10^3 = 9.62*10^6
we have to write it in standard form = 96.2*10^5 gallons
i can be also written as = 9,620,000 Gallons.
9.62 Million Gallons of milk is produced by local dairy farm Yearly.