if you look at delta y over x, you'll notice it always equals 2
i.e (22-2)/10-0 = 20/10 = 2
or (14-2)/6-0 = 12/6 = 2
or even (22-8)/10-3 = 14/7 = 2
This means that m (slope) is 2.
Now as for b. b is the y intercept and that value occurs when x = 0. On the table, when x = 0 y = 2 so b = 2.
y = mx + b becomes
y = 2x + 2
Answer:
y= -4x + 3
Step-by-step explanation:
Because the slope is -4/1 which is the same as 4 and 3 is the y-intercept.
Here's the work;
We can just use the first two coordinates which are (0,3) and (1,-1) to get from the x-value 0 to 1 we add 1. and to get from the y-value 3 to -1 we subtract 4. Therefore the slope is -4 and the y- intercept (when x is zero) is 3. Pop that into slope intercept form to get y=-4x +3
Hope that helps and have a great day!
Answer:
m a g i c t h a t ' s h o w
Answer:cost of each pound of apple= $3
And cost of each pound of orange =$2
Step-by-step explanation:
Step 1
Let cost of apples = x
And cost of Oranges =y
Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as
6 x + 3y= 24----- equation 1
Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as
5x+ 4y= 23----- equation 2
Step 2
6 x + 3y= 24----- equation 1
5x+ 4y= 23----- equation 2
Using substitution method to solve the equation
6 x + 3y= 24
24-6x=3y
y= 24-6x/3 = 8-2x
Y= 8-2x
Substituting the value of y= 8-2x into equation 2
5x+ 4( 8-2x)= 23
5x+ 32 -8x= 23
32-23= 8x-5x
9=3x
x=9/3
x=3
Putting the value of x= 3 in equation 1 and solving to find y
6 x + 3y= 24
6(3) +3y= 24
18+3y=24
3y= 24-18
3y=6
y=6/3= 2
Therefore the cost of each pound of apple= $3
And cost of each pound of orange =$2
Answer:
Step-by-step explanation:
win
There are 3 face cards / suit. Every suit contains a Jack, Queen, and king.
There are 4 suits so the number of face cards is 3*4 = 12
There is 1 ace / suit
There are 4 suits so the number of aces is 1 * 4 = 4
The gain from the face cards = 12 * 13 = 156
The gain from the aces = 4 * 3 = 12
Total gain = 168
Losses
Any other card costs you $5
How many cards is that? 52 - 16 = 36
Each one costs 5 dollars
Total loss = 5 * 36 = 180
So each time you play the game, you can expect to lose 180 - 68 = 12 dollars. You should walk away quickly from this one.
