Step-by-step explanation:
5x-3y-4=0---------(1)
Slope = - coefficient of X/ coefficient of y
= -5/(-3)
= 5/3
(x1,y1)= (-5,7)
Equation of the line,
Y-Y1= slope(X-X1)
Y-7= (5/3)×(X-(-5))
Y-7= (5x+25)/3
3y-7=5x+25
5x-3y+32=0 is the required eqn
Answer:
61 bags of lettuce
Step-by-step explanation:
Let's create two equations representing the cost of bags of lettuce:
Val's Veggies: 250 + 1.50x = V
Sally's Salads: 100 + 4.00x = S
If you buy 60 bags of lettuce from either store, the answers will be equivalent:
If x = 60
250 + 1.50x = V
250 + 90 = V
340 = V
100 + 4.00x = S
100 + 240 = S
340 = S
Now that both equations are equivalent, all we need to do to tip the balance and make Val's Veggies cheaper is purchase one more bag of lettuce:
x = 61
250 + 1.50x = V
250 + 91.50 = V
341.50 = V
100 + 4.00x = S
100 + 244 = S
344 = S
Since V represents the price of a bag of lettuce at Val's Veggies and V is now less than S (Sally's Salads), Val's Veggies is now the cheaper option.
Therefore, 61 bags of lettuce must be purchased in order for Val's Veggies to be the cheaper option.
Answer:
y = 2x + 2
Step-by-step explanation:
To find the slope we do (Y1 - Y2)/(X1-X2) aka rise over run
So, m = (-4 - 2) / (-3 - 0)
m = 2
Now we have y = 2x +b
Notice one of our points is (0,2)
Since the x value of that point is 0, it is the y intercept.
In the slope intercept form b = y-intercept
Therefore b = 2
So, y = 2x + 2
60 minutes is 20% of 300 minutes
Answer:
Step-by-step explanation:
(r⁻⁷)⁶ = r⁽⁻⁷⁾ˣ⁶
= (r)⁻⁴²
