Solve the system of equations by substitution.
-3x - 2y + 2z = 19
2x + y + 3z = -20
Z = -2

Answers

Answer 1

Answer:

Step-by-step explanation:

-3x - 2y + 2(-2) = 19

-3x -2y - 4 = 19

-3x - 2y = 23

2x + y - 6 = -20

2x + y = -14

-3x -2y = 23

2x + y = -14

-3x - 2y = 23

4x + 2y = -28

x = -5

-10 + y = -14

y = -4

x= -5, y = -4, z= -2


Related Questions

I NEED THIS ANSWER FAST PLEASE
Fill in the missing coordinates of the x-intercept of the line defined by the equation y = x – 4

Answers

Answer:

the answer might be (-4,0) for x coordinates

What are the domain and range of the function
represented by the set of ordered pairs?
{(-3, 2), (-2, 1), (-1,0), (0, -1)}

Answers

The domain of the function will be (-∞, ∞) and the range of the function will be (-∞, ∞).

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The set of ordered pairs is given below.

{(-3, 2), (-2, 1), (-1,0), (0, -1)}

Then the line function will be

    y – 0 = [(– 1 – 0)/(0 + 1)] (x + 1)

          y = – x – 1

x + y + 1 = 0

Then the domain of the function will be (-∞, ∞) and the range of the function will be (-∞, ∞).

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45°
x 100°
y = [? ]º

Answers

Answer:

55

Step-by-step explanation:

For 95% of all randomly selected samples of n = 130 students, the mean amount of sleep will be between? Use the empirical rule.

Answers

For 95% of all randomly selected samples of n = 130 students, the

amount of sleep will be between [tex]P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\\\\\[/tex].

What is the empirical rule?

According to the empirical rule, also known as the 68-95-99.7 rule.

The percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

For 95% of all randomly selected samples of n = 130 students, the

amount of sleep will be between can be

[tex]P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\\\\\[/tex]

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8-2 (i+1) < 12 − 7i + 4i true.

Answers

Answer:

True

Step-by-step explanation:

8-2 (i+1) < 12 − 7i + 4i

Left side of the inequality:

8 - 2(i + 1)        distribute

8 - 2i - 2        simplify

(8 - 2) - 2i

6 - 2i

Right side of the inequality:

12 − 7i + 4i        simplify

12 − 3i

Combine:

6 - 2i < 12 − 3i

6 is less than 12

3i is less than 2i

leads to the assumption that the statement is true

A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet per second. The height​ h, in​ feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=−16t*2 + 88t +6. How long will it take the rocket to reach its maximum​ height? What is the maximum​ height?
Question content area bottom
Part 1
The rocket reaches its maximum height at ? ​second(s) after launch.

Answers

Answer:

Step-by-step explanation:

A short road trip took Susan about 2 hours, traveling at an average speed of 51
miles per hour. Let t represent time (in hours) and r represent speed (in miles per
hour). Identify the type of variation, determine the number of miles she traveled,
and write an equation to represent the relationship between time and speed for
her trip.

Answers

The type of variation between the speed and time is inverse.

The equation is r = d / t

The number of miles travelled is 102 miles.

What is the type of variation?

When the speed a person is driving at increases, the time it takes to travel would decrease. On the hand,  speed a person is driving at decreases, the time it takes to travel would increase. This means that there is an inverse relationship.

The equation that represents an inverse relationship is

r = d / t

Where d is the distance

Distance = t x r

51 x 2 = 102 miles

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Nell is analyzing a quadratic function f(x) and a linear function g(x) will they intersect

Answers

No they will not intersect

How should this model be completed to represent 605 ÷ 18?

Answers

Answer:

Check the attached image

Tracie ran a total of 5 3/4 miles on Saturday and Sunday. She ran 1 5/8 miles on Saturday. how many miles did Tracie run on Sunday?

Answers

let's firstly convert the mixed fractions to improper fractions and then get their difference.

[tex]\stackrel{mixed}{5\frac{3}{4}}\implies \cfrac{5\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{23}{4}} ~\hfill \stackrel{mixed}{1\frac{5}{8}}\implies \cfrac{1\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{13}{8}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Saturday and Sunday}}{\cfrac{23}{4}}~~ - ~~\stackrel{Saturday~only}{\cfrac{13}{8}}\implies \cfrac{(2)23~~ - ~~(1)13}{\underset{\textit{using this LCD}}{8}}\implies \underset{Sunday~only}{\cfrac{33}{8}\implies 4\frac{1}{8}}[/tex]

what are the prime factors of 30​

Answers

Answer

2, 3 and 5 are prime factors of 30

Step-by-step explanation:

Stay safe, stay healthy and blessed.Have a good day !Thank you

#jennifer

Find the interquartile range (IQR) for the following data set: 52, 60, 24, 36, 48, 52, 72

Answers

Answer:

24

Step-by-step explanation:

The interquartile range defines the difference between the third and the first quartile.

Let's put this data set in ascending order:

24, 36, 48, 52, 52, 60, 72

The median is 52. The median of both the lower (1st quartile) and upper half (3rd quartile) of the data is 36 and 60.

Now we can subtract the first quartile from the third quartile (60 - 36) to get the interquartile range of 24.

Hope this helped! :)

Find the value of each trigonometric ratio. 18) cos X Y 24 24 25 24 A) C) 25 B) D) 24 25 25​

Answers

Answer:

Step-by-step explanation:

Determine the value of x using a trigonometric
ratio.

Answers

Answer:

 B. 8.56

Explanation:

Given:

angle = 50°adjacent = 5.5 hypotenuse = x

So using cosine rule:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\rightarrow \sf cos(50) = \dfrac{5.5}{x}[/tex]

[tex]\rightarrow \sf x= \dfrac{5.5}{cos(50) }[/tex]

[tex]\rightarrow \sf x= 8.56[/tex]

Given matrix A below, and that A = B, find the value of the elements in B.

A =
9 −2 3
2 17 0
3 22 8
b11 =
9

b12 =
17

b13 =

b21 =

b22 =

b23 =

b31 =

b32 =

b33 =

Answers

The value of   Matrix B = [tex]\left[\begin{array}{ccc}9&17&3\\2&17&0\\3&22&8\end{array}\right][/tex]

Given : Matrix A = Matrix B

matrix A=      [tex]\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right][/tex]

The matrix A=      [tex]\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right][/tex] (according to the question)

Since it is given A=B

and substituting the given values of elements of B

matrix B=[tex]\left[\begin{array}{ccc}9&17&?\\?&?&?\\?&?&?\end{array}\right][/tex]

According to the property of equality of matrices,

When the matrices are given to be equal, their corresponding elements are also equal

so

b13 = 3

b21 = 2

b22 = 17

b23 = 0

b31 = 3

b32 = 22

b33 =8

Substituting the found out values in place of the question marks,

Matrix B = [tex]\left[\begin{array}{ccc}9&17&3\\2&17&0\\3&22&8\end{array}\right][/tex]

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Answer:

b11 =

9

b12 =

-2

b13 =

3

b21 =

2

b22 =

17

b23 =

0

b31 =

3

b32 =

22

b33 =

8

Step-by-step explanation:

What is the total number of different 9-letter arrangements that can
be formed using the letters in the word Projector?

Answers

f is it67 17 and 9 and 78

Solve the radical equation.
√x − 1 + 5 = 9

Answers

Answer:

17

Step-by-step explanation:

square root of x-1 +5=9

square root of x-1 = 4multiple by power of 2 because square root is cancled by 2.

x-1=16,x=17

√x-1+5=9√x+4=9x+4=9²x+4=81x=77

A circular swimming pool has a radius of 28 ft. There is a path all the way around the pool that is 4 ft wide. A fence is going to be built around the outside edge of the pool path.

A circle has a radius of 28 feet. A larger circle goes around the smaller circle that is 4 feet wide.

About how many feet of fencing are needed to go around the pool path? Use 3.14 for Pi.
88 ft
100 ft
176 ft
201 ft

Answers

The number of feet of fencing that is needed to go around the pool path is D. 201 ft.

How to calculate the number of feet?

We have a pool with a radius of 28 feet. The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.

= (28 + 4) feet

= 32 feet

The circumference of the outer edge of the pool path would be equal to the perimeter.

p = 2 * pi * r

p = 2 * 3.14 * 32

p = 200.96 feet

p = 201 feet

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Help please and thank you

Answers

Answer: 9

Step-by-step explanation:

By the geometric mean theorem, [tex]\frac{x}[6} =\frac{6}{4} \longrightarrow x=\left(\frac{6}{4} \right)(6)=\boxed{9}[/tex]

WHO LOVES AMY WINEHOUSE??

Answers

Answer:

:

Step-by-step explanation:

The table shown below lists the time, in days, that it takes for
a package to be delivered based on its mode of transport and
whether it is international or domestic. Some additional
information is provided.
1. The cost per package by air is $100; by train, $50; by
truck, $10; and by boat, $20.
2. Fragile packages cannot be transported by air.
3. Shipping fragile packages costs an extra $20.
4. Shipping international packages costs an extra $30.
Tim needs to transport a fragile package, and he needs it to
arrive as soon as possible. He is shipping domestic. Which of
the following shipping methods should he use?

Answers

Answer:gotchu g there it is

Step-by-step explanation:

Answer:sike gtf

Step-by-step explanation:

What is the equation of a line that is parallel to -x + 3y = 6 and passes through the
point (3, 5)?
1.y=1/3x + 4
2.y = 3x + 4
3.y = -1/3x-4
4.y = -3x - 4

Answers

Answer:

Two lines are parallel if and only if they have the same slope.therefore the original line y=1/3x+2

so option 1 is the answer

41 is a prime number found in the middle of a list of 7 consecutive numbers. find the 7 consecutive numbers

Answers

Answer: 29, 31, 37, 41, 43, 47, 53.

Step-by-step explanation:

can you simplify 8/15+1/6

Answers

Answer:

Yes and the answer is 16/5

Step-by-step explanation:

Find the reciprocal of the divisor

Reciprocal of 1/6 : 6/1

Now, multiply it with the dividend

8/15 ÷ 1/6 = 8/15 × 6/1

And after that you get 48/15 but after reducing the fraction, the answer is 16/5. ( In mixed form, 3 1/5 )

I hope this helps and I am a middle school student answering this question.

Answer:

7/10

Step-by-step explanation:

can you simplify 8/15+1/6

8/15 + 1/6 =

(16 + 5)/30 =

21/30 =

semplify (21:3 and 30:3)

7/10

Prove that for a triple element x, y, z the distributive law is always satisfied if one of the elements equals 0 or 1, or if two of the elements are equal.

Answers

The distributive law is satisfied if the numbers 1,2, and 3 are used as multyplying factors.

What is the distributive law?

This is basic mathematical law that states:

A multiplied by (b+c) equals (a x b) + (a x c)

Is this law satisfied if there are three numbers involved?

The law is always satisfied if one of the numbers is 1. Here is an example

2 x (1+2+3) = 2 x 6 = 12

or

(2x1) + (2x2) + (2x3)2+4+6 = 12

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Solve the inequality. Write the solution set in interval notation and graph it.
12x183(3x - 13)
O(-∞, -7]
-9
-6
-5
O(-∞, -7)
O (-7,00)
20
و۔
O [-7,00)
-8
t
-8
-8
-8
54
+7
5
45
-6
d
-6
-S
i

Answers

Answer:

hi the answer is c

Step-by-step explanation:


I want to know the:

X-intercepts

Y-intercepts

Please accurate answers only!

Answers

Answer:

Step-by-step explanation:

Ordered pairs

( 1 , -1 )

( 2 , -3 )

( 3 , -5 )

( 4 , -7 )

( 0 , 1 )

( -1 , 3)

( -2 , 5)

( -3 , 7)

Answer:

x-intercept = (0.5, 0)

y-intercept = (0, 1)

Step-by-step explanation:

x-intercept : where the line intersects the x-axis

x-intercept = (0.5, 0)

y-intercept : where the line intersects the y-axis

y-intercept = (0, 1)

For the first 6% of Bianca's salary, her employer matches 100% of her 401(k)
contributions, and from 6% to 12%, Bianca's employer matches 50% of her
401(k) contributions. Bianca's salary is $50,000, and last year, she contributed
$6000 to her 401(k) plan. What was her employer's contribution to the
401(k)?
OA. $7200
OB. $4500
OC. $6000
OD. $3000

Answers

Answer:

B

Step-by-step explanation:

6% of her salary is  .06 * 50000 = 3000  <===== matched 100%

   from 6- 12% is another 3000 <=====matched 50% =  1500

3000 + 1500 = 4500 dollars matched

(she put in 6000 and her employer put in 4500 = 10500 total)

A fruit stand has to decide what to charge for their produce. They need \$10$10dollar sign, 10 for 4 apples and 4 oranges. They also need $12 for 6 apples and 6 oranges. We put this information into a system of linear equations.
Can we find a unique price for an apple and an orange?

Answers

Answer:

  no

Step-by-step explanation:

The prices are inconsistent, so there is no unique price that can be set for either an apple or an orange that will give the total prices indicated.

__

The first relation can be written as ...

  $10 = 4A +4O

  $10 = 4(A +O) . . . . factor out 4

  $2.50 = A +O . . . . divide by 4

The second relation can be written as ...

  $12 = 6A +6O

  $12 = 6(A +O) . . . . factor out 6

  $2 = A +O . . . . . . . divide by 6

These two relations give different prices for 1 apple and 1 orange. There is no price that can be set for either fruit that will give this result.

No unique prices can be assigned.

Maria’s suitcase has a mass of 14 kilograms. Her sister’s suitcase
has a mass of 1,600 grams. Which suitcase has a greater mass?
Explain.

Answers

Answer:

Maria

Step-by-step explanation:

Marias suitcase is heavier as 1600 grams to kg is 1.6kg which is less than Marias suitcase which weighs 14kg hope this helps:)

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