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.
The correct answer is 0.5, I hoped this helped! :)
Answer:
In attachment
Step-by-step explanation:
See attachment
Answer:
(B , D) = (-2,5)
Step-by-step explanation:
The given quadratic expression is
compare the given expression with 
so we have 
now 
and 
we need to find two numbers such that their product is -30 and sum is -1
-6 and 5 are such numbers
so we have
grouping first two terms and last two terms
factor out 3x from first two terms and 5 from last two terms
( factor out (x-2))
hence B =-2 and D= 5
(B,D)= (-2,5)
Answer:
$149.50
Step-by-step explanation:
M varies directly as D
M ~ D
M = KD
Where:
M = money earn
D = Driveway
K = assumed constant
Therefore
M = KD
$80.50 = k * 7
K = $80.50 / 7
K = $ 11.50
To know how much he earns if he shoves 13 drive way, we repeat the relationship.
That is:
M = KD
M = $11.50 * 13
M = $149.50
He makes $149.50 after shoving 13 driveways
