Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B? (Remember that the black cards are spades and clubs.)
Answers
Answer: Intersection of A and B = 2
Step-by-step explanation:
Total cards = 52
Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.
Total cards having 6 on them = 4
[There are 4 suits of two different colors red and black.]
Total black playing card =26
Intersection of A and B = Black cards having 6 = 2
hence, Intersection of A and B = 2
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Tim has developed a money saving strategy that uses the formula S=450+100r.a. Give a possible interpretation of Tim's strategy.b. What do the slope and S-intercept of the graph of the relation represent, base on the interpretation from part a.?c. If Tim plans to stop his savings once he has accumulated $1250, what are the domain and range of this relation.
Answers
Answer:
-192
Step-by-step explanation:
x = -8
y = 2
(4y)² −(2x)² =
(4(2))² −(2(-8)² =
(8)² − (-16)² =
64 − 256 = -192
Answers
Answers
A) 2x+10
B) 5x-15
C) 8x+6
D) 12x-8
Answers
Factorization of an algebraic expression means to write the given expression as a product of its factors.
The factorized form are:
A) 2x+10 = 2 ( x + 5 )
B) 5x-15 = 5 ( x - 3 )
C) 8x+6 = 2 ( 4x + 3 )
D) 12x-8 = 4 ( 3x - 2 )
What is factorization?
Factorization of an algebraic expression means to write the given expression as a product of its factors.
These factors can be numbers, variables, or algebraic expressions.
We have,
A) 2x + 10
we have a common factor of 2.
= 2x + 10
= 2 ( x + 5 )
B) 5x - 15
We have a common factor of 5.
= 5x - 15
= 5 ( x - 3 )
C) 8x + 6
We have a common factor of 2.
= 8x + 6
= 2 ( 4x + 3 )
D) 12x - 8
We have a common factor of 4.
= 12x - 8
= 4 ( 3x - 2 )
Thus the factorized form are:
A) 2x+10 = 2 ( x + 5 )
B) 5x-15 = 5 ( x - 3 )
C) 8x+6 = 2 ( 4x + 3 )
D) 12x-8 = 4 ( 3x - 2 )
Learn more about factorization here:
#SPJ2
Step-by-step explanation:
A .2x+10
2(x+5)
B. 5x-15
5(x-3)
C. 8x+6
2(4x+3)
D. 12x-8
4(3x-2)
Answers
(31)² = 961
therefore,
900<961<1000
x^2+6x+4= -2x+4
Answers
Answer:
0,-8
Answer explanation:
x^2+6x+4=-2x+4
or, x^2+6x+4+2x-4=0
or, x^2+8x=0
Therefore, x(x+8)=0
Either,
x=0
or,
x+8=0
x=-8
hence,x=0, -8