Answer:
(x, y) = (5, -2)
Step-by-step explanation:
A graphing calculator provides a quick and easy way to find the solution.
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There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:
The intercepts of the first equation are ...
- x-intercept = 26/4 = 6 1/2
- y-intercept = -26/3 = -8 2/3
So the graph of it will form a triangle with the axes in the 4th quadrant.
The intercepts of the second equation are ...
- x-intercept = 11/3 = 3 2/3
- y-intercept = 11/2 = 5 1/2
So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.
The only 4th-quadrant answer choice is (5, -2).
Answer:
The solution would be (5, -2)
Step-by-step explanation:
To use this method, start by multiplying the second equation by -1. Then add the two equations together.
9x + 5y = 35
-2x - 5y = 0
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7x = 35
x = 5
Now that we have the value of x, use it to solve either equation for y.
2x + 5y = 0
2(5) + 5y = 0
10 + 5y = 0
5y = -10
y = -2
The answer is
B. A dot plot is shown with the title Match Scores. There are 2 dots over score 1, 3 dots over score 2, 2 dots over score 3, 1 dot over score 4, and 2 dots over score 5.
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To answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
<span>35/50 >= 3/4
</span>7/10 <span>>= 3/4
</span>now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 <span>>= 3/4
</span>(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
<span>35/50 >= 3/4
</span>does not hold either, therefore the Constitution cannot be ammended
Answer: a= -18/2
Step-by-step explanation:
2a + 2x3 = -12
2a + 6 = -12
2a + 6 - 6 = -12 - 6 ( subtract 6 from both sides)
2a = -18 (Divide 2 by both sides)
a= -18/2