Do you just want the equation ?
Answer:
The probability that the first card chosen is club and second card chosen is of heart is .
Step-by-step explanation:
Total number of cards in the deck is 52 (total number of cases).
Probability of an event E can be formulated as:

For event A, number of cards of type club = 13 (favorable cases)
So,

For event B, number of cards of type heart = 13 (favorable cases)
So,

It is given that card is replaced before choosing the second card.
These events A and B are independent events, happening of one event does not effect the happening of other. And probability of both happening together can be found as following:


The probability that the first card chosen is club and second card chosen is of heart is
.
Julia’s score is <em>y</em> and Tina’s score is <em>y</em> + 6.
Step-by-step explanation:
Let us take Julia’s score be <em>y</em>.
First Tina scored 4 points more than Julia, so the expression is <em>y</em> + 4.
Then, Tina earned 2 points as extra credic, now the expression becomes
(y + 4) + 2 = y + 6.
Hence Julia’s score is <em>y </em>and Tina’s score is <em>y</em> + 6.
A) Sub g(x) and h(x) into the equation:
x^2 + 3x - 40 - (-x -3)
= x^2 + 3x - 40 +x + 3
= x^2 + 4x - 37
Find x:
x= 4.40 and x= -8.40
b) Sub f(x) and g(x) into the equation:
(x^2 - 64) / (x^2 + 3x -40)
= ((x+8) x (x-8)) / ((x+8) x (x-5))
= (x - 8) / (x-5)
Find x:
x= 8 and x = 5
How to get those number:
(x^2 - 64) = x^2 - 8^2 = (x-8) x (x+8)
( x^2 + 3x - 40) = (x^2 + +8x - 5x - 40) = x( x + 8) - 5( x + 8) = (x-5) x (x+8)
Try to do c and d :)