Answer: The solution is the ordered pair (1/2, -3/4) so x = 1/2 and y = -3/4 pair up together. The two lines, when graphed, cross at this location.
note: 1/2 = 0.5 and -3/4 = -0.75; so the intersection point can be written as (0.5, -0.75)
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Explanation:
The second equation has y isolated. We can replace the y in the first equation with the expression 1/2x - 1
3x + 2y = 0
3x + 2( y ) = 0
3x + 2( 1/2x - 1) = 0 ... y is replaced with 1/2x-1
3x + 2(1/2x) + 2(-1) = 0 .... distribute
3x + x - 2 = 0 .... note how 2 times 1/2 is 1
4x - 2 = 0
4x = 2
x = 2/4
x = 1/2
Use this x value to find the y value it pairs with
y = (1/2)*x - 1
y = (1/2)*(1/2) - 1 ... replace x with 1/2
y = 1/4 - 1
y = 1/4 - 4/4
y = (1-4)/4
y = -3/4
While it does sounds redundant, it could be a "part to whole" ratio
Answer:
$13087.92
Step-by-step explanation:
formula: ab^x
a= starting amount
a= 5072
b= 1+r
r=rate
r=9%=0.09
b=1+0.09 =1.09
x= 11 (years)
account after 11 years:
= 5072(1.09)^11
=13087.9227277
= 13087.92
Answer:
37%
Step-by-step explanation:
To find the percentage of people that supported the home team, we need to find the total number of people.
This is because the percentage of people supporting the home team will be given by:
Number of people supporting home team / total number of people
The total number of people is the people supporting the home team plus the people supporting the visiting team:
1369+2331=3700
<u>Therefore, our percentage will be:</u>
1369/3700
Plug this into our calculator and we get:
0.37
Convert that a percentage for a final answer of 37%
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