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Svetllana [295]
3 years ago
8

Y=-2x+6 3y-x+3=0 Solving systems using substitution

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

You can "plug in" the value for y from the top eq in the bottom one:

3(-2x+6) - x + 3 = 0

Simplify:

-6x + 18 - x + 3 = 0

-7x + 21 = 0

-7x = -21

x = 3

y = -2*3+6 = 0

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Eight women and six men apply for a job at Google. Four of the applicants are selected for interviews. Let X denote the number o
Free_Kalibri [48]

Answer:

See below

Step-by-step explanation:

images attached showing all working

a) The possible values of X are as follows

X = {0,1,2,3,4}

P(x) = P(X=x)

b) The cdf in this case, as in the F(x), comes out to be a step function graph on the basis of values obtained from the probability mass function.

c) To find out the probability when more women are interviewed than me, add together the matrices from when value of X is equal to 2, 3 and 4 (from part a).

7 0
3 years ago
If breadth of a rectangle is 19m and perimeter is 80m, find the length of the rectangle.
soldi70 [24.7K]

Answer: 21

Step-by-step explanation:

since 19 is the breadth and the perimeter is 80m, so 19*2=38 and 80-38= 42 so 42/2=21. The answer is 21

3 0
3 years ago
Will give BRAINLEST :)
DiKsa [7]

Answer:

A

Step-by-step explanation:

This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.

g + t + k = 90

g + 2t - k = 55

-g - t + 3k = 30

Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.

g + t + k = 90

-g - t + 3k = 30

____________

0 + 0 + 4k = 120

4k = 120

k = 30

No you can plug this into the first two equations

g + t + (30) = 90

g + t = 60

and

g + 2t - (30) = 55

g + 2t = 85

now use elimination again by multiplying the first equation by -1

g + 2t = 85

-g - t = -60

_________

0 + t = 25

t = 25

Now plug those both back into one of the equations. I'll just do the first one.

g + (25) + (30) = 90

g = 35

Therefore, we know that Ted spent the least amount of time on the computer.

The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.

3 0
2 years ago
Explain why each of the following studies may fail to yield the desired information. (a) To determine the average annual income
harkovskaia [24]

Answer:

the following studies may fail to yield the desired information because

(a) i. some of the students might have died before 2015.

ii. Some people might lie based on the questionnaire sent.

So based on the two factors above the desired information might be altered or incorrect.

(b) i. individuals may be unwilling to provide accurate answers during the survey.

Step-by-step explanation:

Information may be altered when individuals are asked about their income or spending in other to show off to friends or the person asking the questions.

8 0
3 years ago
Write the equation g(x) in vertex form of a
DerKrebs [107]

The equation g(x) in vertex form of a  quadratic function for the transformations  whose graph is a  translation 4 units left and 1 unit up of the  graph of f(x) is (x-4)² + 1

Given a  quadratic function for the transformations given  the function f(x) = x²

If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value

  • Translating the graph 1 unit up will give the final function g(x) as (x-4)² + 1 (We added 1 since it is an upward translation.)

Hence the equation g(x) in vertex form of a  quadratic function for the transformations  whose graph is a  translation 4 units left and 1 unit up of the  graph of f(x) is (x-4)² + 1

Learn more here: brainly.com/question/15381183

8 0
2 years ago
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