which pair of words describes this system of equations 3y=9x-6 2y+6x=4

Which Pair Of Words Describes This System Of Equations 3y=9x-6 2y+6x=4

Answers

Answer 1

Answer:

Consistent and dependent

Step-by-step explanation:

Given

[tex]3y = 9x - 6[/tex]

[tex]2y + 6x = 4[/tex]

Required

The words that describe the equations

Make y the subject in (2)

[tex]2y + 6x = 4[/tex]

Collect like terms

[tex]2y = 4 - 6x[/tex]

Divide through by 2

[tex]y = 2 - 3x[/tex]

Substitute: [tex]y = 2 - 3x[/tex] in (1)

[tex]3y = 9x - 6[/tex]

[tex]3(2 - 3x) = 9x - 6[/tex]

[tex]6 - 9x = 9x - 6[/tex]

Collect like terms

[tex]9x+9x = 6+6[/tex]

[tex]18x = 12[/tex]

Solve for x

[tex]x = \frac{12}{18}[/tex]

Simplify

[tex]x = \frac{2}{3}[/tex]

Substitute [tex]x = \frac{2}{3}[/tex] in [tex]y = 2 - 3x[/tex]

[tex]y = 2 - 3*\frac{2}{3}[/tex]

[tex]y = 2 - 2[/tex]

[tex]y =0[/tex]

So, we have:

[tex]x = \frac{2}{3}[/tex] and [tex]y =0[/tex]

The system is consistent because it has at least 1 solution

The system is dependent because it has more than 1 solution


Related Questions

Find BD if AC = 47 yards

Answers

9514 1404 393

Answer:

  21 yards

Step-by-step explanation:

The area of a quadrilateral with diagonals that are right angles to each other is given by ...

  A = (d1)(d2)/2 . . . . where d1 and d2 are the lengths of the diagonals

  493.5 yd² = (47 yd)(BD)/2 . . . . . . . . . . fill in the given information

Dividing by the coefficient of BD, we have ...

  (2)(493.5 yd²)/(47 yd) = BD = 21 yd

What is the answer to that

Answers

Answer:

can you show me the picture? I will edit my answer if you show me full picture

Step-by-step explanation:

Please don’t troll include work

Answers

4 1/8-2 3/4= 4 1/8 - 2 6/8= 1 3/8

2 3/5 + 1 5/6 = 2 18/30 + 1 25/30= 3 43/30 = 4 13/30

8 9/12 + 2 3/8= 8 18/24 + 2 9/24= 10 27/24 = 11 3/24= 11 1/8

3 1/3 - 1 1/2= 3 2/6 - 1 3/6 = 2 8/6 - 1 3/6= 1 5/6

in the number 78.9 what digit is in the tenths places​

Answers

Answer:

9

Step-by-step explanation:

The answer will be 9

8.36 Football and Brain Size: Randomization Test Exercise 8.35 describes a study examining hippocampus volume in the brain between controls who have never played football, football players with no history of concussion, and football players with a history of concussion. The data are available in FootballBrain. Use StatKey or other technology to conduct an ANOVA randomization test to determine whether there is a significant difference in mean hippocampus volume between the three categories. What is the F-statistic for the observed data

Answers

Answer:

Since the calculated F=  2.8657 does not lie in the critical region  F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F=  205.0819  lies in the critical region F(1,2) ≥ 18.51  we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101  as calculated by F- test in excel.

Step-by-step explanation:

To conduct an ANOVA randomization test we perform anova without replication in excel.

The data for the test is

   

                            Mean    Standard Deviation Sample Size

Never

Played Football 7602.5          1074                   25

FB with no History   6459.2         779.9                  25

FB with Concussion 5734.6       593.4                   25

Total                 6598.8      1133.5                  75

Anova: Two-Factor Without Replication    

   

SUMMARY Count Sum Average Variance

Row 1 2 8676.5 4338.25 21310656.13

Row 2 2 7239.1 3619.55 16127224.25

Row 3 2 6328 3164 13215968.72

   

Column 1 3 19796.3 6598.766667 886871.7433

Column 2 3 2447.3 815.7666667 58708.90333

ANOVA Table  

Source           Sum of     Degrees     Mean

of Variation      Square    of freedom  Squares

                            SS     df          MS              F P-value

B/w Rows 1401945.703 2 700972.8517 2.8657 0.259

B/w Col      50164633.5 1 50164633.5 205.0819  0.00484

Error     489215.59         2 244607.795                          

Total 52055794.79 5    

Set up the null and alternate hypotheses :

H0 ; there's no difference between the means and

there's no difference between the standard deviations

against the claim

Ha: there's a difference between the means and

there's  a difference between the standard deviations

The significance level is chosen at 0.05

The test statistics to use are

F1= estimated variance from Between Means/  estimated variance from Error SS

F1= s1²/s3²

F1= estimated variance from Between Standard Deviations /  estimated variance from Error SS

F2- s2²/s3²

with υ1= (2,2)  and υ2(1,2) degrees of freedom.

The critical regions for F (2,2)≥ 19 for 0.05 significance level

and F(1,2) ≥ 18.51  for 0.05 significance level

Since the calculated F=  2.8657 does not lie in the critical region  F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F=  205.0819  lies in the critical region F(1,2) ≥ 18.51  we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101  as calculated by F- test in excel.

What is the area of the parallelogram?

20 cm 2
40 cm 2
20 cm 2
40 cm 2

Answers

Can I see the picture with the measurements? That’s the only way I can solve
Your last option would be it

Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?

Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds

Answers

Answer:

Four-thirds

Step-by-step explanation:

If you graph the first equation on desmos, then graph the equation x = -1, the intersection is at 1.333333, making the answer 4/3.

The Limit of f (x) as x approaches negative 1 is 4/3, the correct option is C.

What is a Function?

A function is a law that relates a dependent and an independent variable.

f(x) = x² - (1/3)x    x ≠ -1

    = -1                  x = -1

[tex]\lim_{x \to \ -1} f(x)[/tex] = (-1)² - (1/3)(-1)

                      f(x) = 1 + (1/3)

     

                      f(x) = 4/3

To know more about Function

https://brainly.com/question/12431044

#SPJ5

A pair of shoes cost $57.00 and the sales tax is 7%?
What is amount of the sales tax? Be exact, it's money.

Answers

Answer:

3.88

Step-by-step explanation:

$57 multiplied by 7%

what is the area of this figure​

Answers

Answer:

Hello! answer: 10

Step-by-step explanation:

Formula for area of squares: base × height

Formula for area of triangles: base × height ÷ 2

2 × 2 = 4

2 × 2 ÷ 2 = 2

4 × 2 ÷ 2 = 4

4 + 2 + 4 = 10 therefore the area is 10 hope that helps!

Please someone help me on this :c

Scientific notation questions

Best answer gets Brainliest and 20 points

(All of the questions are on the picture)

Please answer this ASAP

*NO LINKS OR QUESTION REPORTED*

Answers

[tex]1. \sf{\ Given : \bigg(\dfrac{10^5}{10^2}\bigg) (10^2)^3}[/tex]

The above expression can be written as :

[tex]\implies \sf{10^{(5-2)}}.10^{(2)(3)}}[/tex]

[tex]\implies \sf{10^{(3)}}.10^{(6)}}[/tex]

As Bases are same, we can add the powers with same base

[tex]\implies \sf{10^{(3 + 6)}}}}[/tex]

[tex]\implies \sf{10^{9}}}}[/tex]

[tex]2. \sf{\ Given : \dfrac{10^5}{10^3.10^8}}[/tex]

The above expression can be written as :

[tex]\implies\sf{\dfrac{10^5}{10^{(3 + 8)}}}[/tex]

[tex]\implies\sf{\dfrac{10^5}{10^{11}}}[/tex]

[tex]\implies\sf{10^{(5 - 11)}}[/tex]

[tex]\implies\sf{10^{-6}}[/tex]

[tex]3. \sf{\ Given : \dfrac{10^{-2}.10^{-3}}{(10^2)^{-5}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-2 - 3)}}{10^{(2)(-5)}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-5)}}{10^{(-10)}}}[/tex]

[tex]\implies\sf{10^{(-5 + 10)}}[/tex]

[tex]\implies\sf{10^{5}}[/tex]

[tex]4. \sf{\ Given : (2.5\ x \ 10^8)(8\ x \ 10^3)[/tex]

[tex]\implies \sf{(2.5 \ x \ 8)(10^{(8 + 3)})}[/tex]

[tex]\implies \sf{(20)(10^{11})}[/tex]

[tex]\implies \sf{2 \ x \ 10^{12}}[/tex]

[tex]5. \sf{\ Given : \dfrac{27.8 \ x \ 10^{8}}{25 \ x \ 10^{3}}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{(8 - 3)}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{5}}[/tex]

What is the equation for the product of a number g and 5 is 30?

Answers

Answer:

6?

Step-by-step explanation:

please help!!!!
ignore the writing -_-​

Answers

Answer:

Haha once again 1200 and 8.5 are the answers

Can you help me with this?

Answers

Answer:

B =30 yd²

Step-by-step explanation:

total area

= area of rectangle + area of triangle

=(6*4)+(1/2 * 3 * 4)

=30

Answer:

30

Step-by-step explanation:

The area formula for trapezoid- A=1/2*h*(b1+b2)

So- 1/2*4*(6+9)

Simplify.
Help me please

Answers

Answer:

answer is 3^2

hopefully this helps someway

A recipe book has 24 appetizer recipes
and 37 dessert recipes. There are 10
more dinner recipes as appetizer and
dessert recipes combined. How many
recipes are in the book in all?

Answers

The answer would be 71

The area of a rectangle is 99 square meters. The length is 11 meters. Find the width.

Answers

Answer:

9 meters

Step-by-step explanation:

To find the area of a rectangle you do length times width. To find a side length, or the width divide the area by the length. 99/11=9.

The width is 9 meters.

derive Euler's formula e^(ix) - cos(x) + i*sin(x) by using taylor series expansion

Answers

Answer:

the answer is probably 5

19
The two figures are proportional. Find the value of x.
36 in.
12 in.
<
10 in.
Х
A
12 in
B) 24 in
30 in
40 in

Answers

Answer:

C 30 in

Step-by-step explanation:

set a proportion: 36/12 = x/10 => x = 36 × 10 ÷ 12 = 30

Lines AB and CD are perpendicular to each other. If 3 measures (4x + 4)°, and 4 measures 26°, what is the value of x?
Please justify your answer, I really don't understand it.

Answers

9514 1404 393

Answer:

  A  x = 15

Step-by-step explanation:

Lines AB and CD being perpendicular means the angles where they meet are all 90°. The diagonal line divides two of those 90° angles into two parts (each). The whole (90°) is the sum of the parts into which the angle has been divided.

The sum of angles 3 and 4 is 90°. Once you understand this relationship, you can write an equation based on the relationship. The equation can be solved in the usual way.

  (4x +4)° +26° = 90°

  4x = 60 . . . . . . . . . . . . divide by °, subtract 30

  x = 15 . . . . . . . . . . divide by 4


Please help!!!
Select the correct answer

Answers

The answer is c ! Have a great day love

CAN SOMEONE HELP ME!

Answers

Answer:

26

Step-by-step explanation:

5 × 4 = 20 (rectangle)

8-5 = 3 (triangle)

3×4÷2 = 6

20+6 = 26

What are the zeros of the function defined by 2x^2-50

Answers

Answer:

[tex]2x^2 - 50 = 0 \\\\2(x^2 - 25) = 0\\\\(x^2 -5^2 ) = 0\\\\(x-5)(x+5) = 0\\\\x = 5, -5[/tex]

What is the solution set to the equation 15-4x=x^2-6x?

Answers

Answer:

x = 5 and x = -3

Step-by-step explanation:

15 - 4x = x² - 6x

15 = x² - 2x

0 = x² - 2x - 15

Now if solved using quadratic formula the answer would be:

x = 5 and x = -3

Hope this helps!

Please help due in 10 min!!! Solve for X

Answers

Answer:

x == 9

Step-by-step explanation:

Angle at the vertex is half the difference of those at the intercepted arcs;

35 = 1/2(120-15x+5)

35 * 2 = 120-15x-5

70 = 115 - 5x

70 - 115 = -5x

-45 = -5x

x = 45/5

x = 9

Hence the value of x is 9

What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid

Answers

Answer:

B. parallelogram

Step-by-step explanation:

Given

See attachment for quadrilateral

Required

Select the type of quadrilateral

From the attached image, we have:

[tex]DE = FG[/tex] -- Opposite, Parallel and Equal

[tex]EF = GD[/tex] -- Opposite, Parallel and Equal

Since all 4 sides are not equal, then it is neither a square; nor a rhombus

Hence, the shape is a parallelogram

what is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long 11 cm wide and 7 cm tall

The longest segment is —
pleaseeee

Answers

Answer:

The longest segment is approximately 19.13cm

Step-by-step explanation:

Given

[tex]l = 14cm[/tex]

[tex]w = 11cm[/tex]

[tex]h = 7cm[/tex]

Required

The length of the longest segment (d)

This is calculated using:

[tex]d = \sqrt{l^2 +w^2 + h^2[/tex]

So, we have:

[tex]d = \sqrt{14^2 +11^2 +7^2[/tex]

Using a calculator, the equation becomes

[tex]d = \sqrt{366[/tex]

Take square roots

[tex]d = 19.13cm[/tex]

The perimeter of this shape is 120 π mm

What is the radius of the smaller semicircles?

Answers

Answer:

15mm

Step-by-step explanation

It says the perimeter is 120 pi, if pi is separate from 120, that would make 120 our radius 60. with 4 semicircles, divide 60 by 4 and boom, 15.

I think that's right, I was never good at geometry  

6 Gallons and 3 quarts = ________ quarts?

Answers

Answer: is 27 quarts

Step-by-step explanation:

Answer: 27 quarts

Step-by-step explanation:

6 gallons is 24 quarts. Add the 3 to get 27. Formula: Gx4= Q

6x4=24 Plus the 3 extra= 27 quarts Hope this Helps uwu

Spain settled Texas because of threats from
a. France.
b. hostile Indians.
C. England .
d. the United States.

Answers

Answer:

The answer is A, France

Answer:

Spain settled taxes because of threats from France

can someone do this for me thanks ok bye

Answers

Answer:

log2 10 = 3x

Step-by-step explanation:

Basic Logarithm Tenets

Answer:

log2 10=3x

Step-by-step explanation:

is the amswer

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