20 - 3j
I guess it would be this. Since 20 is the total minus 3(price for the juice) multiplied by the number of bottles of juice. we should get a total of cost charged for, subtract from 20 and get the change amount.
How big containers? If the four containers each hold one liter of water, than it would be four liters of water in all.
<h3>Given</h3>
Two positive integers x and y
x - y = 4
x² + y = 68
<h3>Find</h3>
x and y
<h3>Solution</h3>
Add the two equations together.
... (x - y) + (x² + y) = (4) + (68)
... x² + x = 72
Rearrange to standard form and factor.
... x² + x - 72 = 0
... (x + 9)(x - 8) = 0
Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.
... x + 9 = 0 ⇒ x = -9
... x - 8 = 0 ⇒ x = 8 . . . . . . the positive solution
Then we can find y from
... 8 - y = 4
... y = 4 . . . . . . . add y-4 to the equation
The two positive integers are 8 and 4.
Left Problem: (first attached figure)
a) The vertex is (75, 25)
b) This means the ball reaches a maximum height of 25 feet at a point 75 feet downfield.
c) No, the ball will not be high enough to pass over the goal post. The point representing the goal post is above the path of the ball.
Right Problem: (second attached figure)
a) The vertex is (2.5, 55)
b) It means the ball reaches a maximum height of 55 feet 2.5 seconds after it is launched.
Answer:
slope = -4/5
y intercept = -4
Step-by-step explanation:
-5y = 4x+20
divide each side by -5
y = 4x/-5 + 20/-5
y = -4/5 x -4
it is in the form y = mx +b where m is the slope and b is the y intercept
m = -4/5 and b = -4