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
Answer:
![3*(2x+3)*(x+1)](https://tex.z-dn.net/?f=3%2A%282x%2B3%29%2A%28x%2B1%29)
Step-by-step explanation:
pull like terms from the problem to re-arrange it into a product
![\left(2x+3\right)\left(3x+3\right)\\3x + 3 = 3 \cdot (x + 1)\\3 \cdot (2x + 3) \cdot (x + 1)\\](https://tex.z-dn.net/?f=%5Cleft%282x%2B3%5Cright%29%5Cleft%283x%2B3%5Cright%29%5C%5C3x%20%2B%203%20%20%3D%20%20%203%20%5Ccdot%20%28x%20%2B%201%29%5C%5C3%20%5Ccdot%20%282x%20%2B%203%29%20%5Ccdot%20%28x%20%2B%201%29%5C%5C)
4*5-3*4
20-12
=8
Just plug in the numbers and solve. Remember that you multiply before you subtract.
The question seems incomplete ; as the total number of tickets to be sold isn't given.
Answer:
61 / X
Step-by-step explanation:
Let's take the total Number of tickets to be sold as : X
Number of tickets sold on Thursday = 47
Number sold on Friday = 14
Fraction of tickets available for sale on Saturday :
(Total number of tickets already sold) / Total number of tickets to be sold
(Thursday + Friday sales) / total number of tickets to be sold
Fraction available for sale on Saturday = (47+14) / X
Fraction available for sale on Saturday = 61 / X
Kindly put value of x = total number of tickets available for sale to get the exact fraction.