Answer:
- B) One solution
- The solution is (2, -2)
- The graph is below.
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Explanation:
I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.
Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.
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To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,
y = (-3/2)x+1
y = (-3/2)*0+1
y = 1
The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.
Answer:
growth
Step-by-step explanation:
Answer:
Interest earned = 2713.8
Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.
1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3
Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8
2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8
Hope this helps :)
The total area is 1289.41 units².
The total perimeter is 281.32 units.
<h3>What is the total area and perimeter?</h3>
The first step is to determine the side lengths of the other squares:
- Length of the second square = 2/3 x 27 = 18
- Length of the third square = 2/3 x18 = 12
- Length of the fourth square = 2/3 x 12 = 8
- Length of the fifth square = 2/3 x 8 = 5.33
Area of a square = length²
Perimeter of a square = 4 x length
- Area of the first square = 27² = 729
- Area of the second square = 18² = 324
- Area of the first square = 12² = 144
- Area of the first square = 8² = 64
- Area of the first square = 5.33² = 28.41
Total area = sum of the areas of the 5 squares = 1289.41 units²
- Perimeter of the first square = 4 x 27 = 108 units
- Perimeter of the second square = 4 x 18 = 72
- Perimeter of the third square = 4 x 12 = 48
- Perimeter of the fourth square = 4 x 8 = 32
- Perimeter of the fifth square = 4 x 5.33 = 21.32
Total perimeter = 281.32 units
To learn how a square, please check: brainly.com/question/9030544
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