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lutik1710 [3]
3 years ago
10

What is the slope of this line? A: - 1/3 B: - 2/3 C: 2/3 D: 1/3

Mathematics
2 answers:
bezimeni [28]3 years ago
6 0

Answer:

The answer is C. 2/3

Step-by-step explanation:

Nataly_w [17]3 years ago
3 0

Answer:

C. 2/3

Step-by-step explanation:

equation for slope: y2 - y1 / x2 - x1

Pick any two exact points from the line. I will use (0, -3) and (3, -1)

The y's for both points are -3 and -1. The x are 0 and 3. Plug that into the equation

-3 - (-1) / 0 - 3

= -3 +1 / 0 - 3

-2/-3

Negatives cancel so it becomes positive

So the slope is 2/3

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Which equation does the graph of the systems of equations solve?
Viktor [21]

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.

4 0
3 years ago
How to solve this problem?
777dan777 [17]

Answer:

Can not be determined.

Step-by-step explanation:

We can easily notice that the limit is x tends to infinity, whereas x is not present in the given function, we are given (1 + 1/n). So we can not evaluate the given limit for x as parameter, we must have some function of x to solve this problem.

Hence, option C is correct i.e. the limit can not be determined.

5 0
3 years ago
HELP PLZZZZZ
Dmitry_Shevchenko [17]

Answer: Option (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Explanation:

Given expression:

(2^3)(2^{-4})

<em>Step-1: </em>Add the exponents and keep the same base by using x^a*x^b = x^{a+b} property.

(2^3)(2^{-4}) = 2^{(3+(-4))} = 2^{-1}

Step-2: The reciprocal of 2^{-1} is \frac{1}{2^{-1}}, which is 2^1

Step-3: The exponent of 2^1 is +1; therefore, change the sign of exponent. The end expression will now become:

2^{-1}

Hence, the correct option is (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

3 0
3 years ago
Read 2 more answers
My sis needs help asap
Alika [10]

Answer:

3/4 - 5/12

Step-by-step explanation:

first you make the demoninators the same so 3*4=12

and if you *3 you do it to the numerator

so its 9/12-5/12

the unsimplified fraction is 4/12

if wanted simplified version its 1/3

3 0
2 years ago
Read 2 more answers
The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. The b
Musya8 [376]
The bigger number is 42 and the smaller number is 10
8 0
3 years ago
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