Answer:
(-4, 3)
Step-by-step explanation:
y = -1/2x + 1
This has a y intercept of 1 and a slope of -1/2
Graph a point at x=0 y=1 and go down 1 to the right 2
draw a line from the first point
y = 1/4x + 4
This has a y intercept of 4 and a slope of 1/4
Graph a point at x=0 y=4 and go up 1 to the right 4
draw a line from the first point
as you can see in the graph, the lines intersect at -4,3
Answer:
In 50 years the amount will be $ 2000.
Step-by-step explanation:
Tiana deposited $500 into a account at 6 % simple interest per Year .
Therefore, Principal (P) is $500
Amount (Principal + Interest) = $2000
Interest (I) = $2000 - $500 = $1500
Rate percentage (R) = 6% per Year
Let, The time be T years
Now, I =
Or, T =
Or, T = (100×1500 ) ÷ ( 500× 6 )
<em> </em><em>∴ T = 50 Years</em>
Explanation:
The solution set for a system of equation is the set of points where the graphs of the equations intersect.
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<h3>general case</h3>A system will have <em>one solution</em> if there is a <em>single point of intersection</em> of the graphs of the equations.
A system will have <em>no solutions</em> if the graphs have <em>no points of intersection</em>.
A system will have an <em>infinite</em> number of <em>solutions</em> if the graphs <em>intersect at an infinite number of points</em>.
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<h3>linear equations</h3>When the equations are linear equations, their graphs are straight lines. If the lines have different slopes, they must intersect at exactly one point: there will be one solution.
If the lines have the same slope, there are two possibilities:
The attached graph illustrates these cases.
