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Tresset [83]
3 years ago
14

Which equation does the graph of the systems of equations solve?

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

  • at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

\frac{1}{3}x+1=2x-4

Subtract 1 from both sides

\frac{1}{3}x+1-1=2x-4-1

Simplify

\frac{1}{3}x=2x-5

subtract 2x from both sides

\frac{1}{3}x-2x=2x-5-2x

Simplify

-\frac{5}{3}x=-5

Multiply both sides by 5

3\left(-\frac{5}{3}x\right)=3\left(-5\right)

Simplify

-5x=-15

Divide both sides by -5

\frac{-5x}{-5}=\frac{-15}{-5}

Simplify

x=3

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

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3 0
3 years ago
Which has the least value for 9? *
marishachu [46]

Answer:

0.1039

Step-by-step explanation:

Obtain the place value of 9 in each value and choose the smallest :

1.95

9 is the first digit after the decimal point ; which is equal to 0.9 = tenth place

0.1039

9 is the 4th digit after the decimal point ; which is equal to 0.0009 = ten thousandth place

3.092

9 is the second digit after the decimal point ; which is equal to 0.09 = hundredth place

2.009​

9 is the third digit after the decimal point ; which is equal to 0.009 = thousandth place

Hence the smallest value of 9 among the options given resides in 0.1039 (ten thousandth place).

3 0
3 years ago
5 less than the difference of a number f and 35
Fiesta28 [93]

Answer:

See below.

Step-by-step explanation:

There are 2 options in finding the difference between f and 35, as you did not state in the question which if the 2 is the larger number.

(f-35)-5=f-35-5

=f-40

OR

(35-f)-5=35-f-5

=30-f

3 0
3 years ago
john wrote the numbers 678,901 and67,890. How many times greater is thevalue of 7 in 678,901 than the value of 7in 67,890
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Answer:

The value of 7 in 678,901 is 70000 which 10 times greater than that of 67,890 Which is 7,000.

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Step-by-step explanation:

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