What is the solution to the system -3×+4y+2z=-3 2×-4y-z=0 y=3x-13

Answers

Answer 1

Answer:

x=5, y=2, z=2

Step-by-step explanation:

y=3x-13

-3x+4y+2z = -3x + 4(3x-13) + 2z = 9x+2z-52 = -3

9x + 2z = 49  ... (1)

2x-4y-z = 2x-4(3x-13)-z = -10x-z+52 = 0

10x + z = 52  ... (2)

(2)*2-(1): 11x = 55         x = 5

y = 3x-13 = 15-13 = 2      y=2

z = (49-9x) / 2 = 2         z = 2


Related Questions

The product of two positive consecutive integers is 72. Find the integers.

Answers

Answer:

8 and 9

Step-by-step explanation:

8 times 9 is equal to 72

On Monday, 405 Students went on a trip to the zoo. All 9 uses were filled and 9 students had to travel in cars. How many students were in each bus?

Answers

Hi,

So since 9 went by car I did 405-9= 396 that went by bus.

There were 9 buses so I did 396/9=44 so there were 44 students on each bus.

Hope this helps !

Answer:

Step-by-step explanation:

n = 41

There are 41 students on each bus.

The graph below shows four straight lines, A, B, C, and D: graph of line A going through ordered pairs negative 2, negative 3 and 2, 5. Graph of line B going through ordered pairs negative 2, negative 4 and 2, 4. Graph of line C going through ordered pairs negative 2, negative 5 and 3, 5. Graph of line D going through ordered pairs 0, negative 4 and 4, 4 Which line is represented by the function f(x) = 2x + 1? (1 point) Group of answer choices Line A Line B Line C Line D

Answers

Answer:

Line A is represented by the function f(x) = 2x + 1.

Step-by-step explanation:

Given the graph of a proportional relationship, if the (2,7) lies on the graph, what is the value of k? What is the equation of the line?

Answers

Answer:

k=3.5, and y=3.5x is the equation of the line

Step-by-step explanation:

y and x are proportional means that y = kx for some constant k.

Thus, when y=7 and x=2, we have that 7 = k * 2, so that k = 7/2 = 3.5,

and the equation of the line is y = 3.5x

how many decimal points are in 131.6​

Answers

theres one decimal point

Answer:

It just has 1 decimal point

Step-by-step explanation:

If it was a number like 14.454, then that would have 3 decimal points

Hope this helps!

If you vertically compress the absolute value parent function, f(x) = \X\, by a
factor of 4, what is the equation of the new function?
A. g(x) = | 4x1 |
B. g(x) = |x - 41 |
C. g(x) = 4|x|
D. g(x) = 1/4 |x|

Answers

answer is D. think about you have all the same answers /4 makes them all 4 time smaller
I got D. g(x) = 1/4 /x/

please help!
Question 8 of 10 Allowable tax deductions do not include O A. personal vacation expenses B. charitable donations O c. home mortgage interest costs O D. educational expenses​

Answers

Answer:

A. Personal vacation expenses

Step-by-step explanation:

Because everything else either helps the community or is a required expense

Please help late assignments

Answers

Answer:

what do we hav to do in this please explain

Step-by-step explanation:

Pls give me an answer with step by step explanation

Answers

Of what? There is no equation or picture of anything

Use the formula below to find the 10th term in the geometric sequence.
an = (-2)(3)^n-1
A. -13,122
B. -39,366
C. -118,098
D. -354,294

Answers

Answer:

uhhhh I can't explain how but the answer is B. -39,366.

Which number line shows the location
of 0.3?

Answers

There is no picture attached :)

The heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6) , where the units are inches. a) If we randomly sample the heights of five male seniors, what distribution should the sample mean follow? Give your answers to two decimal places.

Answers

The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.

N(70.5, 1.16)

The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.

What is a normal distribution?

A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.

As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.

Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,

[tex]s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16[/tex]

Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.

Learn more about Normal Distribution:

https://brainly.com/question/12421652

Which expression does not have a solution of 9, if w = 4? 5 + w w + 5 13 - w 5 - w

Answers

Answer:

5 - w does not have a solution of nine.

Step-by-step explanation:

5 - 4 = 1

The domain of a function h(x) is x≤-2, and the range is y<1. What are the domain and range of its inverse function, h^-1(x)

Answers

Using it's concepts, it is found that the domain and the range of the inverse function are given as follows:

The domain is x < 1.The range is [tex]y \leq 2[/tex].

What are the domain and the range of a function?

The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.

In an inverse function, the domain and the range are exchanged, hence, considering the original function, for the inverse function we have that:

The domain is x < 1.The range is [tex]y \leq 2[/tex].

More can be learned about domain and range at https://brainly.com/question/10891721

#SPJ1

help please 100 points!!!!!!!!
What is a benefit of following the recommended daily allowances for carbohydrates?A( It provides the body energy. B(It helps build strong muscles. C( It makes skin healthy. D( It helps build strong bones.

Answers

Answer:

A

Step-by-step explanation:

Answer:

The Correct answer is A

Step-by-step explanation:

The equation of the graphed line is x+2y=5. What is the x-intercept of the graph? A coordinate plane with a line passing through (negative 5, 5) and (5, 0).

Answer choices
A) 2
B) 2.5
C) 5
D) 5.5

Answers

Answer:

the answer is... a

Step-by-step explanation:

if 40 workers can complete a piece of work in 15 days how many workers should be employed to complete the same work in 3 days​

Answers

8 workers. 15/3=5. 40/5=8

9) What 2 numbers have a total of 28 and a difference of 6?

Answers

Answer:

Sum: 17 + 11 = 28

Difference: 17 - 11 = 6

Step-by-step explanation:

The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:

x + y = 28

The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:

x - y = 6

Now solve equation B for x to get the revised equation B:

x - y = 6

x = 6 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 28

6 + y + y = 28

6 + 2y = 28

2y = 22

y = 11

Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:

x + y = 28

x + 11 = 28

X = 17

Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:

Sum: 17 + 11 = 28

Difference: 17 - 11 = 6

Answer:

17 +11 = 28

hope this helps

Please answer the following question:

Answers

Answer:

l

Step-by-step explanation:

Natalie uses a 15% off coupon when she buys a camera. The original price of the camera is $45.00. How much money does Natalie save by using the coupon​

Answers

Answer:

6.75

Step-by-step explanation:

First, I just gave you the answer.

Second, just use it.

What is the slope of the line that is perpendicular to the line that passes through the points (-1,3) and (2,-4)?

Answers

Hey there! Remember that perpendicular lines are the negative reciprocal to the original slope. With that in mind, the best way to find the slope is by using equation m=y2-y1/x2-x1, so then if we plug this in we get:

-4-3/2-(-1)

As -4 is our y2, -3 is our y1, 2 is our x2, and -1 is our y1.

You should get -7/3, that’s the original slope. Since this is a perpendicular line we MUST FLIP it and CHANGE THE SIGN.

So our FINAL answer would be: 3/7

Hope that helps!!!

Emma buys 9 bottles of pineapple juice at the corner store for a total cost of $10.62.
Assume each bottle of juice is the same price. If c represents the total cost in dollars
and cents of the juice for any number, j, of bottles of juice, write a proportional
equation for c in terms of j that matches the context.

Answers

$1.18

Step by step explanation :

9c = 10.62

c = 10.62/9

c = 1.18

How to tell if a graph is a function in algebra

Answers

Answer:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

Step-by-step explanation:

If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

A giant prepared a big feast. If he invites another giant, they will finish the feast in 10 hours. He decides to invite 4 giants. How many hours will it take him and giant friends to finish the feast?

Answers

Answer:

1 1/4

Step-by-step explanation:

3and3/4th divided by 2and 1/2

Answers

Answer:

1.5

Step-by-step explanation:

3 3/4 ÷ 2 1/2

3/2

= 1.5

Mean of first five whole numbers is 3

Answers

The numbers would be 1, 2, 3, 4, 5

Answer:

mean of first five whole number = (0+1+2+3+4)/5 = 2

Step-by-step explanation:

Whole is starts from 0.

Write an absolute value equation of the form |ax+b|=cx+d that has no solution. Assume that a, b, c and d ≠0

Answers

9514 1404 393

Answer:

|3x +5| = 3x +1|3x +5| = x -1

Step-by-step explanation:

The left-side expression will not intersect the right side expression if the slopes are the same and the y-intercepts are chosen appropriately. An example is ...

  |3x +5| = 3x +1

The right-side line stays below the left-side V, so doesn't intersect.

__

You can choose the slopes to be different, also, if you make the intercepts such that the right-side line does not intersect the left-side V. An example of that is ...

  |3x +5| = x -1

__

Graphs of the left- and right-side expressions are shown in the attachment.

Help plssssssssssssssss

Answers

Answer:

both

Step-by-step explanation:

The mean and the median give the same information, so it doesn't matter which one she chooses.

HELPPP PLEASE!!! IM BEING TIMED!!!

Answers

Answer:

y=2x+4

Step-by-step explanation:

8=2(6)+b

8=12+b

4=b

help please this is kinda difficult .

Answers

im pretty sure that the slope for both lines would be 2

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