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Len [333]
3 years ago
8

2/3x+1/3y=2 in graph

Mathematics
1 answer:
Nady [450]3 years ago
6 0

Solve for y:


\dfrac{2}{3}x+\dfrac{1}{3}y=2\ \ \ \ |\cdot3\\\\2x+y=6\ \ \ \ |-2x\\\\y=-2x+6


It's the slope intercept form of a straight line.

We need only two points to draw a straight line.


for\ x=0\to y=-2(0)+6=0+6=6\to(0;\ 6)\\for\ x=3\to y=-2(3)+6=-6+6=0\to(3;\ 0)


Look at the picture.

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Solve for x<br> And show work
klemol [59]

Answer:

x = -8

Step-by-step explanation:

1. Because the line the angles x + 96 and 100 + x are on is straight, it's a straight angle that results in 180°.

2. Given the above information, that means x + 96 + 100 + x = 180.

3. (Solving for equation above)

Step 1: Simplify both sides of the equation.

  • (x+x) + (96+100)=180
  • 2x + 196 = 180

Step 2: Subtract 196 from both sides.

  • 2x + 196 - 196 = 180 - 196
  • 2x = -16

Step 3: Divide both sides by 2.

  • \frac{2x}{2} = \frac{-16}{2}
  • x = -8

Step 4: Check if solution is correct.

  • -8 + 96 + 100 - 8 = 180
  • 88 + 100 - 8 = 180
  • 188-8=180
  • 180=180

Therefore, x = -8.

6 0
2 years ago
Read 2 more answers
The quotient of 794.1 divided by 7.61, expressed to two decimal places, is A. 104.35. B. 95.83. C. 786.49. D. 1,043.50.
AysviL [449]
<span>The question asks us to find the quotient of 794.1 by 7.61, expressed to two decimal places. First we will divide those two numbers: 794.1 : 7.61 = 104.34954. Then we have to round the result to the 2 decimal places. After 104.34 is 9 so we have to round the number to 104.35. Answer: The quotient is 104.35.</span>
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Determine the point on the hyperbola 3x^2−10y^2=20 closest to the point (0, -7).
stepan [7]

Answer:

Step-by-step explanation:

7 0
3 years ago
Given: x - 6.3333 ≤ 1.5 .
Inessa05 [86]

Answer:

x or (-\infty, 47/6]

Step-by-step explanation:

Note that 6.3333 = 6 1/3 = 19/3 = 38/6.

Also, note that 1.5 = 1 1/2 = 3/2 = 9/6.

So, the inequality is really equal to x-38/6.

We can then add 38/6 to both sides to get x.

So, the solution is x, or in interval notation, (-\infty, 47/6]

3 0
3 years ago
For students who first enrolled in two year public institutions in a recent​ semester, the proportion who earned a​ bachelor's d
kondaur [170]

Answer:

Null hypothesis =  H_0:p=0.395

Alternate hypothesis =H_a:p>0.395

Step-by-step explanation:

Given : In a recent​ semester, the proportion who earned a​ bachelor's degree within six years was 0.395.

The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.

To Find : Determine the null and alternative hypotheses.

Solution:

In a recent​ semester, the proportion who earned a​ bachelor's degree within six years was<u> 0.395. </u>

Claim : the proportion of students who enroll in her institution <u>have a higher completion rate.</u>

So,null hypothesis =  H_0:p=0.395

Alternate hypothesis =H_a:p>0.395

6 0
3 years ago
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