Make the equation the same or a multiple of the other to have an infinite number of solutions. See how the -8/2= -4 and 6/2=3 ? then -2/2 = c
Make c = -1 and they are the same linear equation. (same slope, same intercepts, same line) and therefore have infinite solutions.
In order to have no solutions, the lines cannot cross at all and so they must be parallel but not the same line. Parallel lines have the same slope with different intercepts. if you rearrange both equations in slope intercept form:
y = x/3 - 4/3
y = - cx/3 - 4/3
no matter what you make c the lines will always cross at the y-intercept (0, -4/3). this is a solution and therefore there's no value of c that would produce a system with no solution.
Answer:
The answer is C. Depression.
Step-by-step explanation:
Depression is defined as a severe and prolonged recession. Declining economic activity is characterized by falling output and employment levels. Generally, when an economy continues to suffer recession for two or more quarters, it is called depression.
The level of productivity in an economy falls significantly during a depression. Both the GDP (gross domestic product) and GNP (gross national product) show a negative growth along with greater business failures and unemployment. Depressions are relatively less frequent than milder recessions, and tend to be accompanied by high unemployment and low inflation.
Set up an equation of ratios as shown below:
h 24 ft 4
----- = ---------- = ---
4 6 ft 1
Cross multiplying the 1st and 3rd fractions, we get h=16 ft (answer)
Answer:
5% increase
Step-by-step explanation:
First, find how much it increased:
6300 - 6000
= 300
Then, to find the percent increase, divide 300 by 6000
300/6000
= 0.05
So, there was a 5% increase in the population
Answer:
Step-by-step explanation:
(3(18)+2(3.99)+45)(1.08)=(106.98)(1.08)=$115.54 (rounded to nearest cent)
