1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alik [6]
3 years ago
5

What should be the first step in adding these equation to eliminate y 12x - 2y = -1 + 4x + 6y =-4

Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

See below

Step-by-step explanation:

<u>Assumed you need to solve the system:</u>

  • 12x - 2y = - 1
  • 4x + 6y = - 4

In order to solve this by elimination, triple the first equation and add the second one.

<u>It will make the coefficients of y same with opposite signs:</u>

  • -6y and 6y

When added together these cancel, leaving x as the only variable.

You might be interested in
A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse
Ludmilka [50]

Answer:

a

     The null hypothesis  is  H_o  :  \mu  = 180

      The alternative hypothesis is  H_a :  \mu  <  180

b

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

From the question we are told that

     The population mean is  \mu  =  3 \  minutes =  180 \  seconds

     The sample  size is  n =  25

     The excel sheet is show on the first uploaded image

     The level of significance is  \alpha =  0.05

     The null hypothesis  is  H_o  :  \mu  = 180

      The alternative hypothesis is  H_a :  \mu  <  180

Generally the sample mean is mathematically represented as

        \= x  =  \frac{156 + 136 + \cdots  + 181}{25}

=>      \= x  = 173.2

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{\sum  (x_i - \= x )^2 }{n} }

=>    \sigma  =  \sqrt{\frac{  (156 - 173.2 )^2 + (136 - 173.2 )^2  + \cdots + (181- 173.2 )^2  }{25} }

=>    \sigma  =  24.261

Generally the test statistics is mathematically represented as

      t =  \frac{\= x  -  \mu }{\frac{\sigma}{\sqrt{n} } }

=>   t =  \frac{173.2 -  180 }{\frac{24.261}{\sqrt{25} } }

=>   z = -1.40    

Generally p-value is mathematically represented as

  p-value  =  P(Z <  z)

=>  p-value  =  P(Z < -1.40)

From the z-table  

   P(Z < -1.40) =  0.080757

=>   p-value  = 0.080757

From the obtained value we that  p-value >  \alpha

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

   

5 0
2 years ago
Niko uses 12 marshmallows and 8 graham crackers to make 4 s'mores.
Lerok [7]

Answer:

6 crackers, 9 marshmallows

Step-by-step explanation:

You have to divide to find how many graham crackers and marshmallows are needed to make 1 s'more:

8 / 4 = 2, so 2 crackers per s'more. Then,

12 / 4 = 3, so 3 marshmallows per s'more. Now that we know this, all we have to do is multiply each number by 3 to make 3 s'mores.

2 * 3 = 6, so 6 crackers, and

3 * 3 = 9, so 9 marshmallows.

:)

3 0
3 years ago
Read 2 more answers
Start with the point A (3, 1). Translate the point 1 unit to the left and 4 units down. What are the new coordinates of the poin
Over [174]

This is the transformations: See the picture, here we find the coordinate:

A' = (2,-3) and A''=(0.5,-2). There is many ways to get back to A from A'', i have showed one way (the red lines). This is done by going 5 units right and then 6 units up.

see image at https://imgur.com/a/fWQl8



3 0
2 years ago
Estimate 62.853+33.51 by first rounding each number to the nearest whole number
Karolina [17]
63+34=97 thats the answer
6 0
2 years ago
Read 2 more answers
Find the equation of a parabola with a focus at (0,-1) and a directrix at y = 4.
Anastasy [175]

Answer:

  y = -1/10x^2 +2.5

Step-by-step explanation:

The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:

  -1 -4 = -5

So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).

The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...

  y = (1/(4p))(x -h) +k

  y = -1/10x^2 +2.5

_____

You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.

5 0
3 years ago
Other questions:
  • In the triangle below, what is the length of MN
    10·2 answers
  • Explain how you know without computing whether the quotient of 1/2 divided by 6 is greater than or less than 1
    7·1 answer
  • One positive number is 5 times another number and the difference between the two numbers is 1044, find the numbers.
    6·1 answer
  • NEED HELP ASAP PLEASE
    15·1 answer
  • Solve the equation correct your answer to 2 decimal places, x squared - 4 x - 2 = 0​
    14·1 answer
  • Select the correct answer.
    13·1 answer
  • Please help!<br> Evaluate the following expression.
    7·1 answer
  • Christina and her 2 friends spent $25.02 at there favorite restaraunt. If they split the cost equally about how much will they e
    14·1 answer
  • Write an algebraic expression that corresponds to "the opposite of a number "
    11·1 answer
  • Find m∠1. lol yeah that's it
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!