Answer:
a. True. Rational numbers are closed under the sum operation, therefore, the sum of two rational numbers is always a rational number.
b. True. irrational numbers are closed under the sum operation, therefore, the sum of two irrationals numbers is always a irrational number.
c. True. The square of a real number is always a number greater than zero, and the sum of two numbers greater than zero is greater than zero.
d. True. The real numbers are closed under the product operation, then if a and b are reals numbers, the product ab is also a real number.
Step-by-step explanation:
To determine which relation is a function, we can perform something called the vertical line test. We cover the graph in repeating vertical lines and if one vertical line connects with more than one point of the relation, the relation is not a function.
The relation in the bottom right corner is the only relation that passes the vertical line test.
Answer:
Equation: 720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)
x=17
Step-by-step explanation:
A 6 sided polygon is 720° degrees
so
720=(8x-1)+110+(5x+36)+116+(7x+19)+(6x-2)
Simplify
720=(8x+5x+7x+6x)+(−1+110+36+116+19+−2)
Combine like terms:
720=26x+278
flip equation:
26x+278=720
subtract 278 from both sides
26x=442
divide by 26 both sides:
x=17
Hope this helps.
Answer:
The integer represented by H is -2
Its opposite is 2 and the absolute value is also 2
Interest = Pin = principal * interest rate * number of years
Let interest rate be i, then
600*i*2+150*i*4=90
1200i+600i = 90
i=90/(1200+600)=90/1800=1/20=0.05 or 5%
