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:
7.5×1041.25×10−9 = 78,084.75 = 7.808475 x^10
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Subtracting the given expressions, that is
3b² - 8 - (b(b² + b - 7) ) ← simplify parenthesis
= 3b² - 8 - (b³ + b² - 7b) ← distribute parenthesis by - 1
= 3b² - 8 - b³ - b² + 7b ← collect like terms
= - b³ + 2b² + 7b - 8 ← substitute b = - 3
= - (- 3)³ + 2(- 3)² + 7(- 3) - 8
= - (- 27) + 2(9) - 21 - 8
= 27 + 18 - 21 - 8
= 16
Answer: 7.625 pounds.
Step-by-step explanation:
Given: The weight of Alexandra's backpack =
e the given weight is in mixed fraction.
To convert it into decimal ,first we need to convert it into improper fraction.
Thus, 
Now, convert the improper fraction into decimal, by dividing numerator by denominator, we get

Hence, the weight of her backpack in decimal = 7.625 pounds.
Answer:
x=-149
Step-by-step explanation:
12+x=-137
12-12+x=-137 Subtract 12 on both sides
x=-149