Infinite sets may be countable or uncountable. Some examples are: the set of all integers, {..., -1, 0, 1, 2, ...}, is a countably infinite set; and. the set of all real numbers is an uncountably infinite set.
Answer:
31
Step-by-step explanation:
Evaluate following the order set out in the acronym PEMDAS
That is parenthesis, exponents, multiplication, division, addition, subtraction
Given
(5 + 1)² - (11 + 3² ) ÷ 4
= 6² - (11 + 9) ÷ 4
= 36 - 20 ÷ 4 ← division before subtraction
= 36 - 5
= 31
2.5 liters = 0.66 gallons
Answer:
y = -3x + 18
Step-by-step explanation:
The slope intercept form of a line is expressed as y = mx+c
m is the slope
b is the intercept
Get the slope
Given the equation of a line 9x + 3y = 6
Rewrite
3y = -9x + 6
y = -9x/3 + 6/3
y = -3x + 2
Hence the slope of the line is -3
Get the y-intercept
Substitute m = -3 and (5,3) into y = mx+b
3 = -3(5) + b
3 = -15 + b
3 + 15 = b
18 = b
b = 18
Get the required equation
y = mx+b
y = -3x + 18
This gives the required equation
