Answer:
Equation 2 is non-linear, Equation 1 is linear.
Step-by-step explanation:
A linear equation is an equation with a constant gradient and can be expressed in the form y = mx + c. Hence Equation 1 Satisfies this as it is in that form and has a constant gradient of 4. Equation 2 is not in the form y = mx + c since there is a square and hence its non-linear.
Answer:
70 standard boxes, 40 deluxe boxes
Step-by-step explanation:
standard: x
deluxe: y
x + y = 110
7x + 11y = 930
Multiply the first equation by 7 and subtract.
7x + 7y = 770
-(7x + 11y = 930)
You get -4y = -160
y = 40
Substitute y into the first equation.
x + 40 = 110
x = 70
Answer:
Step-by-step explanation:
The first change, the price goes from $4.09 to $3.59.
Beginning price: $4.09
The price decreased to: $3.59
Amount of decrease: $4.09 - $3.59 = $0.50
Percent of decrease: 0.5/4.09 * 100% = 12.2%
The second change, the price goes from $3.59 to $4.09.
Beginning price: $3.59
The price increased to: $4.09
Amount of increase: $4.09 - $3.59 = $0.50
Percent of increase: 0.5/3.59 * 100% = 13.9%
The first change was a decrease of 12.2%, and he second change was an increase of 13.9%. The two percent changes are not the same, and the second percent change is greater.
Answer: Choice D)
This is because the smallest y can get is y = 0, while the largest it can get is y = 5. It can be anything in between these y values as well.
Visually, we look for the lowest and highest points. The range is the set of all possible y outputs. In contrast, the domain is the set of all allowed x inputs.