Answer:
D. because all irrational numbers are real numbers.
Step-by-step explanation:
Real numbers include virtually all numbers we can come up with, either negative or positive, rational or irrational, decimals, etc. They are not imaginary numbers.
Irrational numbers include all numbers that cannot be written as a quotient of two integers. They are numbers whose decimals are never terminating. Examples include π, √2 etc.
Irrational are a subset of real numbers.
Therefore, the correct venn diagram that shows this relationship between Set R {real numbers} and Set Q {irrational numbers} is the venn diagram in option D (last option), because, all irrational numbers are real numbers.
Answer:
x = 7
Length = 4 inches , Width = 15 inches
Step-by-step explanation:
<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>
Area of rectangle = Length × Width
A = L × W
L = x - 3
W = x + 8
Therefore:
A = L × W
60 = ( x - 3 ) ( x + 8 )
( x - 3 ) ( x + 8 ) - 60 = 0
x^2 + 8x - 3x - 24 - 60 = 0
x^2 + 5x - 84 = 0
x^2 + 12x - 7x - 84 = 0
x ( x + 12 ) - 7 ( x + 12 ) = 0
( x + 12 ) ( x - 7 ) = 0
THEREFORE:
x = - 12 , x = 7
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<em>PART</em><em> </em><em>2</em><em> </em><em>:</em>
L = x - 3
L = ( - 12 ) - 3
L = - 15
OR
L = ( 7 ) - 3
L = 4
THEREFORE:
Length can not be a negative number. Hence, L can not equal to - 15.
L = 4 inches
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
W = x + 8
W = ( 7 ) + 8
THEREFORE:
W = 15 inches
ANSWER: you have to figure out if it’s proportional
Step-by-step explanation:
You can do this by:
Seeing if it increases, has a slope, if it has a curve or straight line (straight line, proportional)
<span>the expressions that are NOT polynomials
</span><span>A. x^2-(square root of x)-3
</span><span>C. 5x^1/2 + 4x^2
</span><span>E. x^2-x-12/x+3
(method: check polynomials lesson)</span>
Answer:
12.18
Step-by-step explanation:
