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Lemur [1.5K]
3 years ago
9

A system of equations is shown below. Which of the following statements describes the graph of this system of equations in the (

x, y) coordinate plane?
3y − 5x = 15
6y − 10x = 30

Select one:
A. Two parallel lines with positive slope
B. Two parallel lines with negative slope
C. A single line with positive slope
D. A single line with negative slope
Mathematics
1 answer:
ollegr [7]3 years ago
5 0

The given system of equations represent a single line with positive slope. So option C is correct.

<u>SOLUTION: </u>

Given system of equations are

\begin{array}{l}{3 y-5 x=15 \rightarrow(1)} \\\\ {6 y-10 x=30 \rightarrow(2)}\end{array}

Now, if we observe, (1) \times 2 \rightarrow(2) multiplying the 1^{st} equation with 2 results in 2^{nd} equation.

which means the two line equations represents the same line.

Now, let us find the slope of line, \text { slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-3}{-5}=\frac{3}{5}=\text { positive slope }

So, the line has a positive slope.

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The domain of a quadratic function is all real numbers and the range is y ≤ 2 how many x intercepts does the function have?
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There are 25 prime numbers between 1 and 100. There are 46 prime numbers between 1 and 200. Which situation is more likely? Expl
Alekssandra [29.7K]

Answer:

One.

Step-by-step explanation:

There is a 25% chance of situation one happening.

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8 0
3 years ago
What is 0.7, 0.755, 5/8 from least to greatest?
Margarita [4]
I like to start by turning all my numbers into the same form.  You can go either way but I am going to turn the decimals into fractions.  so 0.7 is the same as 7/10.

0.755 is like 755/1000 which can be reduced to 151/200  (if you don't understand the convertions let me know i will explaine more.)

Next give all the fractions a common denominator. both 8 and 10 go into 200 so we can use that.  151/200 already has a denominator of 200 so that one is set.
for 7/10  well, 10 time 20 is 200 so multiply both the numerator and the denominator by 20 so you get 140/200
the last one is 5/8  8 times 25 is 200 so multiply both numbers by 25 to get 125/200  

the fractionos we have are 125/200  151/200 and 140/200.  Now because they all have the same denominator the one with the lowest numerator is the least number and the one with the highest number is the greatest number.

125/200  140/200  151/200  now just replace the original number with the order they are placed in.
125/200 was 5/8
140/200 was 0.7 
151/200 was 0.755
so the final answer is 
5/8, 0.7, 0.755
6 0
3 years ago
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