Solution:
<u>A few definitions...</u>
- Rational number - Any integer, fraction, terminating decimal, or repeating decimal is classified as a rational number
- Irrational number - All the real numbers which are not rational numbers.
<u>Option A - Rational or Irrational?</u>
Since both are known as fractions, they are rational numbers.
<u>Option B - Rational or Irrational?</u>
√2 is classified as an Irrational number because if it is simplified, it does not result in any integer, fraction, terminating decimal, or repeating decimal.
<u>Option C - Rational or Irrational?</u>
- 1/√4 + 7/2
- => 1/2 + 7/2
- => 8/2 = 4
Since this is an integer, this is rational.
<u>Option D - Rational or Irrational?</u>
- √9 + √4
- => √3 x 3 + √2 x 2
- => 3 + 2 = 5
Since this is an integer, this is rational.
In conclusion...
Option B is correct.
Answer:
A
Step-by-step explanation:
3x^2 - 8x + 4 = 0
x= [-b +or- square root (b^2 - 4ac)] ÷ 2a
= [-(-8) +or- square root (-8)^2 - 4(3)(4)] ÷ 2(3)
= [8 +or- square root 16] ÷ 6
= 2 or 2/3
Answer:
Step-by-step explanation: Part 1) The units rates are
A)
B)
C)
D)
Part 2) The best buy is the size 48 1/4 we know that To find out the unit rate divide the total cost by the total volume
Part 1) Calculate the unit rate for each size
case A) we have 8 1/2 ounce bottle costs $0.99 Convert mixed number to an improper fraction
Find the unit rate
case B) we have
18 2/2 oz. bottle costs $1.49
Convert mixed number
Find the unit rate
case C) we have
48 1/4 oz. carton costs $2.49
Convert mixed number to an improper fraction
Find the unit rate
case D) we have
64 3/4 oz. carton costs $3.75
Convert mixed number to an improper fraction
Find the unit rate
Part 2) which size is the best buy
we know that
The best buy is the one with the smallest unit rate
so
The best buy is the size 48 1/4 oz
Answer:
-1/3 or -2/6
Step-by-step explanation:
First, you pick two points, I did (-5,10) and (1,8). Then, because slope is y(2)-y(1)/ x(2)-x(1), the equation would be 8-10/1-(-5) which equals -2/6 which simplifies into -1/3.
(hope this helps!)
