Answer:
y = 2/3x + 3
Step-by-step explanation:
In order to put it in slope intercept form (y = mx + b), y needs to be isolated.
Add 2x to both sides:
-2x + 3y = 9
3y = 2x + 9
Then, divide both sides of the equation by 3.
3y = 2x + 9
y = 2/3x + 3 is the equation in slope intercept form
Parent function: y=2^x
Transformations:
Reflection over x-axis
Vertical stretch of 3
Right 1
Up7
Substitute the value for y as 450
450=-5x+1
Solve for x
450-1=-5x
449=-5x
89.8=-x
x=-89.8
Answer:
Let x = the unknown cost of a single hot dog and y = the unknown cost of a single soft drink. We have two unknowns so we need two equations to find them.
Equation 1 - 10 hot dogs and 5 soft drinks cost $35; that is 10x + 5y = 35
Equation 2 - 7 hot dogs and 4 soft drinks cost $25.25; that is 7x + 4y = 25.25
First let's re-write equation 1 to solve for y:
10x + 5y = 35
5y = 35 - 10x (subtract 10x from both sides)
y = 7 - 2x (divide both sides by 5)
Next, let's substitute 7 - 2x for y in equation 2:
7x + 4y = 25.25
7x + 4(7-2x) = 25.25
7x + 28 - 8x = 25.25
-x + 28 = 25.25
x - 28 = -25.25
Solve for x, the cost of a single hot dog. Once you have that, use y = 7 - 2x to find the cost of a single soft drink.
Step-by-step explanation:
Hope it helpful
