the solution of the pair of linear equation: 2x+3y=6 and 3x-5y=2 are.............

Answers

Answer 1

Step-by-step explanation:

just simplify the above equation and substitute in the second one.

The Solution Of The Pair Of Linear Equation: 2x+3y=6 And 3x-5y=2 Are.............
Answer 2

Answer:

Step-by-step explanation:

2x+3y=6 -----1

3x-5y=2-----2

solving by elimination method,

multiply eq1 with3

multiply eq2 with2

you will get,

6x+9y=18----3

6x-10y=4----4

eq3-eq4=

19y=14

y=14/19------5

substitute eq 5 in eq 1

you will get,

x=50/19...

hope it helps...pls mark brainliest if it does...


Related Questions

Determine the domain and range of this set of ordered pairs.
{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}
O A. Domain = (-3,-1,0,4,6,7), range = (-5,2,4,6,8,9}
O B. Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
O C. Domain = {-5,2,8,9), range = (-3,-1,0,4,6,7)
D. Domain = (-5,2,4,6,8,9}, range = {-3,-1,0,7}

Answers

Answer:

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Step-by-step explanation:

{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}

The domain is the input and the range is the output

domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}

We put the numbers in order from smallest to largest

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Elijah created the scatterplot to show the relationship between the temperature in degrees Fahrenheit and the number of visitors to a zoo. A graph titled Temperature versus Zoo Visitors has Degrees Fahrenheit on the x-axis, and Visitors on the y-axis. Points are at (70, 100), (77, 96), (90, 75), (93, 73), (98, 60). Which is true regarding the data in his scatterplot? As the temperature increases, the number of visitors decreases. As the temperature increases, the number of visitors increases. As the temperature increases, the number of visitors remains the same. As the temperature increases, the number of visitors increases then decreases.

Answers

Answer:

A

Step-by-step explanation:

it right on edge

Answer:

A.

Step-by-step explanation:

Did the unit test in edge and got 100

What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?

18
20
21
37

Answers

Answer:

[tex]C. \[/tex]   [tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]

Step-by-step explanation:

Given

[tex]x = 2[/tex]

[tex]y = 5[/tex]

Required

[tex]\frac{1}{2}x^3 + 3.4y[/tex]

Substitute 2 for x and 5 for y;

The expression becomes

[tex]=\ \frac{1}{2} * 2^3 + 3.4 * 5[/tex]

Multiply 3.4 by 5

[tex]=\ \frac{1}{2} * 2^3 + 17[/tex]

---------------------------

[tex]2^3 = 2 * 2 * 2 = 8[/tex]

--------------------------

[tex]=\ \frac{1}{2} * 8 + 17[/tex]

[tex]=\ \frac{8}{2} + 17[/tex]

[tex]=\ 4 + 17[/tex]

[tex]=\ 21[/tex]

Hence;

[tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]

Sorry the question before didnt make sense.heres the full pic .

Answers

Answer:

No

Step-by-step explanation:

The question is:

Are 3/5 and 6/25 equivalent fractions?

Multiply the first fraction by 5/5:

3/5 * 5/5 = 15/25

3/5 is equivalent to 15/25

15/25 is not equal to 6/25.

Answer: No

I need help ASAP for this question

Answers

Answer D.
Hope that helps!

Answer:

ans is d

hope it helps

mark as brianliest

Which expression represents the algebraic phrase “twelve times the sum of a number and seven-tenths”? 12 y + StartFraction 7 over 10 EndFraction 12 (y + StartFraction 7 over 10 EndFraction) StartFraction 7 over 10 EndFraction y + 12 y (StartFraction 7 over 10 EndFraction + 12)

Answers

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A polygon is shown: A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units. The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is ___ square units

i think its 2

Answers

Answer:

The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is 2 square units.

Step-by-step explanation:

We are given that a polygon MNOPQR is shown. The top vertex on the left is labeled M, and the rest of the vertices are labeled clockwise starting from the top-left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ.

The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.

Firstly, we will draw a perpendicular line from point O which meets the line RQ at point T. Now, the polygon MNOPQR is divided into two rectangles MNTR and OPQT.

As we know that the area of the rectangle = [tex]\text{Length of rectangle} \times \text{Breadth of rectangle}[/tex]

In the rectangle MNTR, the length (MN) = 5 units and the breadth (MR) = 3 units.

So, the area of the rectangle MNTR = [tex]\text{Length (MN)} \times \text{Breadth (MR)}[/tex]

                                                            = [tex]5 \times 3[/tex]  = 15 square units

Now, as we know that in rectangle MNTR, the side NT = 3 units and the side NO is labeled as 2 units. This means that the side OT = NT - NO = 3 units - 2 units = 1 unit

Similarly, the side QR is labeled as 7 units and the side RT is labeled as 5 units. This means that the side TQ = QR - RT = 7 - 5 = 2 units

Now, in the rectangle OPQT, the length (TQ) = 2 unit and the breadth (OT) = 2 units.

So, the area of the rectangle OPTQ = [tex]\text{Length (TQ)} \times \text{Breadth (OT)}[/tex]

                                                            = [tex]2 \times 1[/tex]  = 2 square units

Hence, the area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is _2_ square units.

Answer:

7

Step-by-step explanation:

PLEASE HELP ME!!!
ABCD is a rectangle in the coordinate plane. Give possible coordinates for the vertices of rectangle ABCD.

How do you know that your vertices form a rectangle?

Answers

Answer:

(1,1) (2,1) (2,3) (1,3) They form a rectangle because there are two pairs of parallel sides.

:)

3/4 gal orange juice 3pt. Ginger ale 1 1/2 c. Pineapple juice what is the final volume in mL?

Answers

Answer:

≈ 4614 mL

Step-by-step explanation:

I'm guessing you want to add them. So, let's convert them all to mL first and then add them!

3/4 gallons (U.S. I'm assuming) ≈ 2839 mL OJ

3 pints (U.S. I'm assuming) ≈ 1420 mL GA

1.5 cups (U.S. I'm assuming) ≈ 355 mL PJ

Add them up and you get around 4614 mL of a disgusting mixture of juice. I hope this is what you were looking for!

Find y Please explain step by step

Answers

Answer:

We can prove that ΔTVU ≅ ΔTXW because of SAS (TU = TV = TW = TX because they are all radii and all radii of the same circle are congruent, ∠UTV = ∠WTX, that is given). Because of this, UV = XW due to CPCTC so we can write:

2y - 3 = y + 4

y = 7

Find the value of the logarithm.
log 210
Round your answer to the nearest thousandth.

Answers

Answer:

5.347

Step-by-step explanation:

5.3471075307175.

Answer:

Your correct answer is 5.347

A 40 amp fuse carries a temporary 9 % current overload. How many
amps of current flow through the fuse during the overload?

Answers

Answer:

43.6 amp

Step-by-step explanation:

Given

A 40 amp fuse carries a temporary 9 % current overload.

9% current overload means that whatever will be the normal current carrying capacity of fuse, during overload it carries 9% more than that.

Current carrying capacity of fuse is 40 amp.

during overload it carries 9% more

over load current = 9% of 40 amp  = 9/100 *40 = 3.6 amp

total current flowing through fuse during overload = 40 amp + 3.6 amp

                                           = 43.6 amp (answer)

Which is the solution of the quadratic equation (4y - 3)2 = 72?
y
3 +/Z and y
y=
3-6/2
4
3+62
y=
and y=
-3 – 6/2
4
4
0
y=
9/2
4
and y= -3/2
4
9/2
4.
y=
3/2
and y=
4​

Answers

Answer:

Step-by-step explanation:

Let's solve (4y - 3)^2 = 72 for y.  To do this, take the square root of both sides.  This yields:

4y - 3 = ±√72 = ±√(36·2) = ±6√2

Then 4y = 3 ±6√2, or

       3 ± 6√2

y = ----------------

             4

The required solution of quadratic equation is y = (3±6√2)/4. Option A is correct.


Solution of the quadratic equation (4y - 3)2 = 72 to be determine.


What is quadratic equation?

Quadratic equation are the equation having maximum power 2.

Here,
(4y - 3)² = 72
4y-3 = ±√72
4y = ±√72 +3
y = (3 ± 6√2)/4


Thus, The required solution of quadratic equation is y = (3±6√2)/4.


Learn more about quadratic equation here:
https://brainly.com/question/2263981

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Mr. Davis bought 2 chairs during the sale. The regular price of each chair was $168. What was the total price, in dollars, for both chairs during the sale, not including tax?

Answers

Answer:

tatol price= $335.16

Step-by-step explanation:

regular price for one item= $168

sale=1/2 %

168 × 0.5/100 = 0.84 (discount)

price of discounted chair= 168-0.86

                                         = 167.16

168+167.16 = $335.16

What is the equation of the line that passes
through(-2, 4) and has a slope of 2/5?

Answers

Answer:

y=2/5x+4.8

Step-by-step explanation:

Proof

Can you please say if the point will be on the line?

Answers

Answer:

The point will be on the line.

Step-by-step explanation:

helpp!!! thank how would you do this i got -6 is that correct

Answers

Answer:

-2

Step-by-step explanation:

hello

output means that you have to check in the f(x) column

the answer is -2

hope this helps

PLEASE HELPP!! QUESTION IS BELOW

Answers

Answer:

C

Step-by-step explanation:

Because the four line make a quadrilateral in which line a and d are parallel , line b and c are parallel. Then the others like line a and b ,a and c ,d and b are perpendicular.

If you draw it , it will be easier

Hope it helps ... Brainliest please

Answer: c

Step-by-step explanation:

PLSSS HELP State the maximum number of turns the graph of each function could make 1. f(x)=x^5-3x+1 2.f(x)=-x^7-7x^5-4x^3

Answers

Answer:

max for 5th-degree: 4 turns. This function: 2 turns.max for 7th-degree: 6 turns. This function: 0 turns.

Step-by-step explanation:

In general, the graph of an n-th degree function can make n-1 turns. However, in specific cases, the number of turns is limited by the number of real zero-crossings of the derivative.

__

1. This 5th-degree function can have at most 4 turns. However, the derivative, f'(x) = 5x^4 -3, has only two (2) real zeros. Hence the graph of this function can only have 2 turns.

__

2. This 7th-degree function can have at most 6 turns. However, the derivative, f'(x) = -7x^6 -35x^4-12x^2, has an even-multiplicity root at x=0 only. The derivative never crosses 0. Hence the graph makes no turns.

Which is not a function?

Answers

i would say “B” is not a function. hope this helps and have a good day

The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat. Which of the following could be the equation of F(x)

Answers

Answer:

Option (A)

Step-by-step explanation:

Parent function of the function graphed is,

G(x) = x²

Graph shows the vertex of the given parabola is at (3, 3).

Vertex form of a parabola is,

F(x) = a(x - h)² + k

where (h, k) is the vertex.

By substituting the coordinates of the vertex in the equation,

F(x) = a(x - 3)² + 3

Since the given parabola is opening upwards, value of 'a' will be positive.

So the equation will be,

F(x) = 2(x - 3)² + 3

Therefore, from the given options, equation given in Option (A) matches the answer.

Answer:

A is the correct answer.

Step-by-step explanation:

Use your calculator to find the value of each trig function below. Round to the tenth place.

Answers

Answer: 0.7

Step-by-step explanation: use calculator XD

The value of trigonometric functions is sin 24°=0.4, cos 45°= 0.7 and tan 88°=28.6.

Given that, sin 24°, cos 45° and tan 88°.

We need to find the value of the trig function.

What are the six trigonometric functions?

The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant and Cotangent.

Now, sin 24°=0.4067≈0.4

cos 45°= 0.70710≈0.7

tan 88°=28.63625≈28.6

Therefore, the value of trigonometric functions is sin 24°=0.4, cos 45°= 0.7 and tan 88°=28.6.

To learn more about the trigonometric functions visit:

https://brainly.com/question/6904750.

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A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?

Answers

Answer:

377 choices

Step-by-step explanation:

The following values were given in the question:

The restaurant offered

6 choices of appetizer

8 choices of main meal

5 choices of dessert.

We are also told in the question that the customer can choose to eat just one course, or two different courses, or all three courses.

Let us represent each choice by :

A = Appetizer = 6

B = Main meal = 8

C = Dessert = 5

a) The 3 choices together

ABC=6 × 8 × 5=240 choices

b) AB= Appetizer and Main meal

= 6 × 8 = 48 choices

c) AC= Appetizer and Dessert

= 6 × 5 = 30 choices

d) BC = Main meal × Dessert

= 8 × 5 = 40 choices

e) A,B,C = the customer having each of the choices only

Appetizer + Main meal + Dessert

= 6 + 8 + 5

= 19 choices

The number of possible meals is calculated as:

240 choices + 48 choices + 30 choices + 40 choices + 19 choices

= 377 choices

6(q − 76) = 48 q = _____

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

q = 84

▹ Step-by-Step Explanation

6(q - 76) = 48

q - 76 = 8

q = 8 + 76

q = 84

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Your answer to this equation is 84. q = 84

Step-by-step explanation:

6(q - 76) = 48

First, take q and subtract it:

q - 76 = 8

Next, do this:

q = 8 + 76

Therefore, q = 84

Find the missing segment in the attached image

Answers

Answer:

? = 78

Step-by-step explanation:

Use similar triangles.

26/12 = (26 + ?)/48

13/6 = (26 + ?)/48

6(26 + ?) = 13 * 48

156 + 6? = 624

6? = 468

? = 78

Answer:

The missing segment is equal to 78

Step-by-step explanation:

Using the similarity of triangles:

[tex]x=?[/tex]

[tex]$\frac{x+26}{48}=\frac{26}{12} $[/tex]

[tex]12(x+26)=48 \cdot 26[/tex]

[tex]12x+312=1248[/tex]

[tex]12x+312=1248[/tex]

[tex]12x=936[/tex]

[tex]x=78[/tex]

Father has two apples, three pears, and two oranges. Every morning, during one week, he gives one fruit to his son for breakfast. How many ways are there to do this?

Answers

Answer:

210

Step-by-step explanation:

Since the condition does not state an opposite, I should assume that the apples are not distinguishable, same as the pears and the oranges.

So we have permutations of 7 fruits with 2 indistinguishable apples, 3 indistinguishable pears and 2 indistinguishable oranges.

The number of distinguishable arrangements is

   7                    1x2x3x4x5x6x7

---------                ----------------------           = 210

2x3x2                   2x6x2

Answer.  There are 210 ways to do it.

HELP ASPAP!!!!! WILL MARK BRAINIEST standard deviation

Answers

Answer:

The standard deviation of the given data is 11.34.

Step-by-step explanation:

We have to find the standard deviation for the given data;

Grade on     No. of students          

 test (X)        with that score (f)        [tex]X \times f[/tex]       [tex]( X - \bar X)^{2}[/tex]        [tex]f \times ( X - \bar X)^{2}[/tex]

     50                  1                       50      1073.218      1073.2176

     57                 2                       114      663.578      1327.1552

     60                 4                       240       518.018     2072.0704

     65                 3                       195       315.418      946.2528

     72                 3                       216        115.778       347.3328

     75                12                       900        60.218       722.6112

     77                10                       770        33.178       331.776

     81                 6                       486        3.098       18.5856

     83                 6                       498        0.058        0.3456

     88                9                       792        27.458      247.1184

     90                12                      1080        52.418      629.0112

     92                12                       1104        85.378     1024.5312

     95                 2                        190        149.818      299.6352

     99                 4                        396        263.738     1054.9504

    100                 5                      500         297.218     1486.088    

   Total                  91                          7531                              11580.68    

Firstly, the mean of the above data is given by;

            Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X \times f}{\sum f}[/tex]

                             =  [tex]\frac{7531}{91}[/tex]  =  82.76

Now, the standard deviation of the data is given by;

          Standard deviation, S.D.  =  [tex]\sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}[/tex]

                                                     =  [tex]\sqrt{\frac{11580.68}{91-1}}[/tex]

                                                     =  11.34

Hence, the standard deviation of the given data is 11.34.

State how many imaginary and real zeros the function has.

f(x) = x4 + 12 x3 + 37x2 + 12x + 36

Answers

Answer:

Step-by-step explanation:

If you'd graph this function on a graphing calculator or graphing utility, you'd see quickly that the graph never touches or crosses the x-axis.  This tells us immediately that there are no real roots; all four roots are complex or imaginary.

Answer:

2 real roots and 2 imaginary roots

Step-by-step explanation:

The roots are x=i,-i,-6,-6.

Laura’s overall monthly living expenses are $1,600. How much money does she have at the end of the month to put into savings?

Answers

Step-by-step explanation:

The question has missing details nevertheless we can make head way with the information on ground.

Given that Laura's overall monthly living expenses are  $1,600

in order to calculate her savings for the month we need to know her income for the month, that is the overall sum she has at hand before incurring any expenses(this is the missing detail).

Say this overall amount is "x"

her saving for the month = [tex](x- 1600)[/tex]

(HELP ASAP!)
Write and solve an equation using the descriptions below.

Ten less than the quotient of a number and 3 is 6.

Seven plus the quotient of a number and 5 is -12.

Eight times the difference of a number and 3 is 40.

The difference of twice a number and 7 is 9.

Answers

3 divided by n -10= 6

Answer:

Step-by-step explanation:

1) Let the number be x

Quotient of a number & 3 : x/3

Ten less than the quotient of a number : (x/3) -10

[tex]\frac{x}{3}-10=6[/tex]

Add 10 to both sides

[tex]\frac{x}{3}-10+10=6+10\\\\\frac{x}{3}=16[/tex]

Multiply both sides by 3

[tex]\frac{x}{3}*3=16*3\\\\x=48[/tex]

2)  Let the number be x

Quotient of a number & 5 : x/5

Seven plus  the quotient of a number : (x/5)+7

[tex]\frac{x}{5}+7=-12\\[/tex]

Subtract 7 form both sides

[tex]\frac{x}{5}+7-7=-12-7\\\\ \frac{x}{5}=-19\\[/tex]

Multiply both sides by 5

x = -19*5

x = -95

3) Let the  number be x

Difference of a number and 3 : x - 3

Eight time the difference of a  number & 3: 8*(x-3)

8*(x - 3 ) = 40

Divide both sides by 8

[tex]\frac{8*(x-3)}{8}=\frac{40}{8}[/tex]

x - 3 = 5

Add 3 to both sides

x - 3 +3 = 5 +3

x = 8

4) Let x be the number

Twice a number : 2x

The difference of twice a number and 7: 2x - 7

2x - 7 = 9

Add 7 to both sides

2x - 7 + 7 = 9 + 7

2x = 16

Divide both sides by 2

2x/2 = 16/2

x = 8

Other Questions
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