Which diagram represents the type of solution to this system of equations?

7x − 12y + z = -1
8x − 10y = 5
21x − 36y + 3z = -3

A.
B.
C.
D.

Which Diagram Represents The Type Of Solution To This System Of Equations?7x 12y + Z = -18x 10y = 521x

Answers

Answer 1

Answer: The answer should be A.

Step-by-step explanation: When solving the first and third equations, it becomes 0=0. I'm assuming that is one solution. Then 8x-10y=5 should be the other solution. In other words, there is 2 solutions.

Answer 2

The correct diagram represents the type of solution to this system of equations is shown in Option A.

We have to given that,

System of equations are,

7x - 12y + z = -1   .. (i)

8x - 10y = 5        .. (ii)

21x - 36y + 3z = -3  .. (iii)

Now, From equation (i);

Multiply by 3;

3( 7x - 12y + z)  = -1 × 3

21x - 36y + 3z = - 3

Which is same as equation (iii).

Hence, Equation (i) and (ii) are parallel to each other.

And, It's a triple relationship.

Thus, Only option A has parallel planes.

So, Option A is true.

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Related Questions

Simplify the following polynomial expression (8x^2-7x+2)+(3x^2-9x-6) help fasttt!!!!!!!!!!!!!

Answers

Answer:

11x^2 - 16x +4

Step-by-step explanation:

In order to simplify, add like terms

(8x^2-7x+2)+(3x^2-9x-6)

8x^2 + 3x^2 = 11x^2

-7x + -9x = -16x

-6 + 2 = 4

now the equation is 11x^2 - 16x +4

What does a cluster tell you about the data on a scatter plot?

Answers

It can tell you the general pattern or that it is far from the other points in scatter plot.

Answer:

it all depends on where it is if it is in the middle you do not have enough information to determine if it is increasing or decreasing

Step-by-step explanation:

Please help me ASAP
How many pavers are needed to cover the patio?

Answers

Answer:

270

Step-by-step explanation:

✔️Area of the Patio = bh

b = 12 ft = 144 in.

h = 10 ft = 120 in.

Area of Patio = 144*120 = 17,280 in.²

✔️Area of Brick Paver = bh

b = 8 in

h = 8 in

Area of the Brick Paver = 8*8 = 64 in.²

The number of quaver needed to cover the Patio = area of Patio ÷ area of one brick quaver

= 17,280/64 = 270

What is the value of the expression when a = 5, b = 4 , and c = 6?⁢

4a/2b−c


2

5

9

10

Answers

Step-by-step explanation:

9 +6=15-6=9

so your answer should be 9

mark me brainliest lol

Answer:

now you can say as brainliest to other person :)

The results of a survey of 150 students about whether they
own an electronic tablet or a laptop are shown in the two-way
frequency table.

Answers

Answer:

its either quantitive data ( numerical measurements) or categorical data (cannot be expressed using numbers)

Two way frequency table: Pairs categorical values to list frequencies  

Step-by-step explanation:

For example: One hundred students were surveyed about which beverage they chose at lunch. Some of the results are shown in the two-way frrequency table below.

Lunch Bevarage

genders               Juice.           Milk.         Water.     Total

Girl :                     10                  13              17            40

Boy:                     15                  24             21            60

Total:                   25                 37             38      =    100

3 inches
1.5 inches
1.5 inches

Answers

Answer:

6 inches

Step-by-step explanation:

150 pounds to 135 pounds

Answers

Answer:

15 pounds

Step-by-step explanation:

150-135

Answer:

15 pounds

Step-by-step explanation:

Carmen has taken out a loan for $800 to buy a car. She plans to pay back the loan at a rate of $40 per month. Ramona has borrowed $500 to buy a car, which she plans to pay back at a rate of $20 per month.

How long will it take Ramona to pay back her loan?​

Answers

25 months, hope this helps!

Answer:

It will take Ramona 25 months or 2 years and 1 month to pay back for the car.

Determine the equation of the line given by the graph.
A)y = -2/7x+2/5
B)y = -2/7x+5/2
C)y = -7/2x+2/5
D)y = -7/2x+5/2

Answers

Answer:

y=mx+c y= -2/7+5/2 if this is right can i get brainliest and if u need explanation just ask

Answer:

D. y = -7/2x+5/2

Step-by-step explanation:

The formula for the graph would be: y = mx + c where m is the slope and c is the y-intercept.

Based on the graph, you can see that the y-intercept is 5/2 (somewhere between 5 and 0) so A and C are out. Remaining are options B and C.

Now, the slope is either -2/7 or -7/2. We will have to calculate the slope then. I will be using the points (-1, 6) and (1, -1)

[tex]\frac{rise}{run}[/tex] = [tex]\frac{-1-6}{1-(-1)}[/tex]

    = [tex]\frac{-7}{2}[/tex]

   = -[tex]\frac{7}{2}[/tex] (Same as option D)

Thus, the equation would have been: -[tex]\frac{7}{2}[/tex]x + [tex]\frac{5}{2}[/tex]

Find 4cos2a, if
[tex] \cos(a) = \frac{ \sqrt{3} }{2} [/tex]

Answers

If you mean to find 4 cos(2a), then recall the double angle identity for cosine:

cos(2x) = 2 cos²(x) - 1

so that

4 cos(2a) = 4 (2 cos²(x) - 1) = 4 (√3 - 1)

Which situation represents a proportional relationship?
А.
The cost of purchasing t-shirts for $5.80 each.
B
The cost of purchasing belts for $11.00 each with a delivery charge of $3.50.
С.
The cost of purchasing a box of socks for $1.75 per sock plus $2.15 for the box.
D
The cost of purchasing pants for $21.50 each with a coupon for $3.25 off the total cost.

Answers

Answer:

С.

Step-by-step explanation:

From the options provided the only one that represents a proportional relationship was The cost of purchasing a box of socks for $1.75 per sock plus $2.15 for the box. This is because the total cost of the boxes depends on the number of socks that are bought since every pair of socks that are bought comes with a box which causes the total costs of the boxes to increase. Therefore, the number of sock pairs and the number of boxes has a proportional relationship.

Help me fast pleaseeeee

Answers

Answer:

y=-2x-2

Step-by-step explanation:

Find slope and y intercept

someone help me with this

Answers

Answer:

-30 is the right one if u need help tell me ;)-

Step-by-step explanation:

:)

Solve for x. Enter the solutions from least to greatest.
(x + 7)^2 - 49 = 0

Answers

Answer:

x = -14, 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Completing the SquareMultiple Roots/Solutions

Step-by-step explanation:

Step 1: Define

(x + 7)² - 49 = 0

Step 2: Solve for x

Add 49 to both sides:                    (x + 7)² = 49Square root both sides:                 x + 7 = ±7Subtract 7 on both sides:               x = -7 ± 7Evaluate:                                         x = -14, 0

Step 3: Check

Plug in x values into original equation to verify they are a solution.

x = -14

Substitute in x:                    (-14 + 7)² - 49 = 0Add:                                     (-7)² - 49 = 0Exponents:                          49 - 49 = 0Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ x = -14 is a solution of the equation

x = 0

Substitute in x:                    (0 + 7)² - 49 = 0Add:                                     7² - 49 = 0Exponents:                          49 - 49 = 0Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ x = 0 is also a solution of the equation.

Answer:

Lesser x=-14 Greater x=0

Step-by-step explanation:

x+7)  

2

−49

(x+7)  

2

 

(x+7)  

2

 

​  

 

​  

 

=0

=49

=  

49

​  

 

​  

 

Hint #22 / 3

\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}  

x+7

x

(x+7)  

2

−49

x=−14

​  

 

=±7

=±7−7

or x=0

​  

27.1018494699 round to nearest hundred-thousandth

Answers

Answer:

27.101

Step-by-step explanation:

Can someone help with this please?

Answers

Answer:

a) Function 1 has the greatest y-intercept

b) Only function 2 has a slope less than -2

c) Function 4 has the least steep slope

Answer:

1. Function 1

2. Function 2

3. Function 4

Step-by-step explanation:

y-intercept:   Function 1: 4, Function 2: 1, Function 3: -5, Function 4: -2

- Function 1 has the highest y-intercept

slope less than -2:  Function 1: 2, Function 2: -4, Function 3: 5, Function 4: -1

- Function 2 has a slope lower than -2

least steep graph: Function 1: steepness 2, Function 2: steepness 4, Function 3: steepness 5, Function 4: steepness 1

- Function 4 has the steepest graph

In triangle ABC, angle BAC = 90
Work out the size of angle DAC AND DCA?

Quick plz:)

Answers

Answer:

Easy man it 9999

Step-by-step explanation:

Ryan has a checking account balance of -$25. Write an absolute value statement to show how much money Ryan owes the bank.

Answers

Absolute value equations are x^2 + x + n(number) so
My best guess is x^2 + x - 25
I’m sorry if I’m wrong

Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
100 miles in 2.5 hours
40 miles per hour
100
a. Yo
c.
25 miles per hour
1000
b. 250 miles per hour
d.
25
miles per hour
Please select the best answer from the choices provided
А
B
ОС
D

Answers

Answer:

c

Step-by-step explanation:

Answer:

A. 100 miles divide 2.5 hours = 40 miles per hour

In a certain Algebra 2 class of 24 students, 9 of them play basketball and 13 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?

Answers

The probability that a student who is chosen randomly from the class who plays basketball or baseball is 11/24.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that In a certain algebra 2 class of 24 students, 9 of them play basketball and 13 of them play baseball. There are 2 students who play both sports.

2+5+4 =11

Expect the 13 people/students who didn't play,

Total people 24

P = 24-13=11

P = 11/24

The probability will be equal to 11/24.

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Bob bought the 24 fish for $51.36. How much did each fish cost him? Show your calculation.

Answers

Answer:

2.14

Step-by-step explanation:

2.14x24=51.36

eye blue like the Atlantic and im going down like the Titanic​

Answers

Answer:

how is this a question

Step-by-step explanation:

Answer:hvcfhcxfdhkhfhxkzi love that song:o :D Have a great day!!

(a) 12 is 15% of what?

Answers

80


hope this helps mate

Please help on number 5 and ill give brainly

Answers

Answer: A or 1.
Hope it helps :D

Find the sum. Write your answer as a decimal.
-5.74 + 5.5 =

Answers

Answer:

-0.24

Step-by-step explanation:

Math is math i just know it in my head i do nt know how tpo explain it

Is each expression equivalent to 6 * 53? Justify your reasoning.
a. 6 * 50 + 6* 3
b. 10 * 53 -4 53
c. 6 50 + 3
d. 6 * (50 + 3)

Answers

Answer:

a, b, d. Yes c. No

Step-by-step explanation:

a. 6 * 50 + 6* 3  = 6* ( 50 + 3) = 6* 53

Yes

b. 10 * 53 -4*53  = (10 - 4)*53 = 6*53

Yes

c. 6 * 50 + 3  = 303

No

d. 6 * (50 + 3) = 6*53

Yes

Answer:

A, B, D = Yes

C = No

6 * 50 + 6* 3  = 6* ( 50 + 3) = 6* 53

10 * 53 -4*53  = (10 - 4)*53 = 6*53

6 * 50 + 3  = 303

6 * (50 + 3) = 6*53

3. Sam and Tim each have savings accounts. Every month they each put in some of their
earnings from mowing lawns. Use the tables to find the y-value of the solution to the
system shown.
х
1
2
3
4
f(x)
80
110
140
170
х
1
2
3
4
g(x)
100
120
140
160

Answers

Answer:

[tex]y = 30x +50[/tex] --- Sam

[tex]y = 20x +80[/tex] --- Tim

Step-by-step explanation:

Given

Sam                         Tim

х  --- f(x) ---------------  g(x)

1  --- 80   --------------- 100

2  --- 110  --------------- 120

3  --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

[tex](x_1,y_1) = (1,80)[/tex]

[tex](x_2,y_2) = (4,170)[/tex]

Next, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{170 - 80}{4 - 1}[/tex]

[tex]m = \frac{90}{3}[/tex]

[tex]m = 30[/tex]

Next, we calculate the line equation using:

[tex]y - y_1=m(x-x_1)[/tex]

[tex]y - 80 = 30(x - 1)[/tex]

[tex]y - 80 = 30x - 30[/tex]

Make y the subject

[tex]y = 30x - 30 + 80[/tex]

[tex]y = 30x +50[/tex]

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

[tex](x_1,y_1) = (1,100)[/tex]

[tex](x_2,y_2) = (4,160)[/tex]

Next, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{160 - 100}{4 - 1}[/tex]

[tex]m = \frac{60}{3}[/tex]

[tex]m = 20[/tex]

Next, we calculate the line equation using:

[tex]y - y_1=m(x-x_1)[/tex]

[tex]y - 100 = 20(x - 1)[/tex]

[tex]y - 100 = 20x - 20[/tex]

Make y the subject

[tex]y = 20x - 20+100[/tex]

[tex]y = 20x +80[/tex]

HEY YOU! can you help me ?❤️

Answers

The answer is C.

If you take away one zero from both the denominator and the numerator, you are left with the fraction 6/10

please give answer please!!!!!!!!!!!!​

Answers

Answer:

All of them produce an angle of 90 degrees, therefore

90 degrees x 4 = 360 degrees

Don’t understand pls help

Answers

Answer:

-1.5x + 3

Step-by-step explanation:

The Y-intercept is visible, wherever the line is touching the Y-Axes is the intercept. Use this formula to solve for slope:

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