Answer:
y = - 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (0, 4)
m = 
= 
= 
= - 3
The line crosses the y- axis at (0, 4) ⇒ c = 4
y = - 3x + 4 ← equation of line
Answer:
A
Step-by-step explanation:
ƒ(x) = 2x2 + 5x – 8
g(x) = –x2 + 6x
(ƒ – g)(x)=2x2+5x-8-(-x2+6x)
=2x2+5x-8+x2-6x
=3x2-x-8
Answer:
20 ton
Step-by-step explanation:
We created a system of two separate equations to answer these questions.
"y" will be the total cost to transport the sugar
"x" will be the amount of sugar transported
Therefore, we have to:
y = 3995 + 225.50 * x
y = 6500 + 100.25 * x
We must establish these equations equal to each other because it asks how much of x is necessary to make the same amount of y, therefore:
3995 + 225.50 * x = 6500 + 100.25 * x
solved we have:
225.50 * x - 100.25 * x = 6500 - 3995
125.25 * x = 2505
x = 2505 / 125.25
x = 20
which means that when the amount of sugar transported is 20 tons, the price is the same
The equation would be:
3/4x=16 1/2
So you would divide both sides by 3/4
and get 44 bags for the leftover 16 1/2 lb. of cookies.
Hope this helps a lot!
