Answer:
y = 3/2*x - 5
Step-by-step explanation:
Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:
P1=(x1,y1) and P2=(x2,y2)
slope formula ---> m=(y2-y1)/(x2-x1)
Replacing the given points ---> m=(1-4)/(4-6) = 3/2
then replacing the slope value obtained:
y = 3/2*x + b
Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:
1 = 3/2*4 + b
1 = 6 + b
1 - 6 = b
-5 = b
therefore the line equation is:
y = 3/2*x - 5
Amounttotal=amount per day times number of days
200=17.1 times d
divide both sides by 17.1
11.695=d
about 12 days
I’m going to say the top one it seems like that would be correct
Answer:
There are 52 cards in a deck. The total number of outcomes possible when picking 2 cards and replacing them is 52 * 52 = 2704.
There are 4 10s and 4 aces so the total number of successful outcomes = 4 * 4 = 16.
Probability = 16 / 2704 = 1 / 169
Given:

To find:
The simplified fraction.
Solution:
Step 1: Simplify the numerator

Step 2: Simplify the denominator

Step 3: Using step 1 and step 2

Step 4: Using fraction rule:


Cancel the common factor r and t², we get

Cancel the common factors 16 and 3 on both numerator and denominator.



The simplified fraction is
.