Two systems of equations are given below.
For each system, choose the best description of its solution.
If applicable, give the solution.
System A
x+3y=9
-x-3y=9
System B
-x-3y=-3
x+3y=3
O The system has no solution.
O The system has a unique solution:
(x, y) = (
O The system has infinitely many solutions.
They must satisfy the following equation:
y = 0
O The system has no solution.
O The system has a unique solution:
(x, y) = (D)
O The system has infinitely many solutions.
They must satisfy the following equation:
y=0

Two Systems Of Equations Are Given Below.For Each System, Choose The Best Description Of Its Solution.If

Answers

Answer 1

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Related Questions

Can you please help me

Answers

Answer:

The Answer is B/2/middle option

Step-by-step explanation:  im great at math

Enter the number that belongs in the green box

Answers

Answer:14

Step-by-step explanation: AD is just a reflection of DC

2. Mike Williams, an electrician, is single, claims 1 allowance, and earns $425 per week. Find the federal tax withheld each week

Answers

The federal tax withheld each week for Mike Williams is given as follows:

$37.

How to obtain the amount he pays in taxes?

Mike Williams salary is given as follows:

$425 a week.

The range that contains the salary, from the table given at the end of the answer, is given as follows:

Between $420 and $430.

The number of allowances that he claims is given as follows:

One allowance.

Hence the federal tax withheld each week is given by the 4th column of the interval between 420 and 430, as he claims one allowance, and the numeric value of this tax is given as follows:

$37.

(which is the weekly amount that he pays in taxes).

Missing Information

The table with the tax information is given by the image shown at the end of the answer.

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A store pays $70 for a bicycle. The percent of markdown is 20%. What is the selling price?

Answers

Answer: $56

Step-by-step explanation:

20% of 70=14

70-14=56

Ahmad will spend at most $34 on gifts. So far, he has spent $21 . What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Ahmad will spend.
Write your answer as an inequality solved for c .

Answers

The additional amount Ahmad will spend if Ahmad will spend at most $34 on gifts. So far, he has spent $21 is c = 13.

What is inequality?

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

Ahmad will spend at most $34 on gifts,

He spent = $21,

c = additional amount

The total amount he can spend now = total amount - he spent

c = 34 - 21

c = 13

Therefore, the additional amount Ahmad will spend, if Ahmad will spend at most $34 on gifts. So far, he has spent $21 is c = 13.

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Given 2x + 3 is the hypotenuse, use the Pythagorean
Theorem to find the length of the side labeled x.

Answers

Answer:

  24

Step-by-step explanation:

Given right triangle sides x, 2x-3, and 2x+3, you want to know the length of the side labeled x.

Pythagorean theorem

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

  (2x +3)² = (2x -3)² +x²

  4x² +12x +9 = 4x² -12x +9 +x²

  x² -24x = 0 . . . . . subtract 4x² +12x +9

  x(x -24) = 0   ⇒   x = 0 or 24

The length of the side labeled x is 24 units.

__

Additional comment

The triangle is an 8-15-17 triangle scaled up by a factor of 3.

50 POINTSSSSSS ASAP!!!! 50 POINTSSSSSS ASAP!!!! 50 POINTSSSSSS ASAP!!!!


Quadrilateral RUST has a vertex at T (5, 2).

An image displaying a quadrilateral RUST.The vertex of R is R of 1 comma 5.
What are the coordinates of T' after the translation (x, y) → (x – 1, y + 2), followed by a dilation by a scale factor of 2, centered at the origin?


A.
(8, 8)

B.
(6, 2)

C.
(4, 4)

D.
(10, 4)

Answers

Answer:

A) (8, 8)

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

Apply the rules to point T.

Translation:

T(5, 2) → T'(5 - 1, 2 + 2) = T'(4, 4)

Dilation:

T'(4, 4) → T''(4*2, 4*2) = T''(8, 8)

The matching choice is A.

:)):))):)/):)::!:&’s

Answers

The congruent reason for 5 is (c) ASA

How to determine the congruent reason for 5?

From the question, we have the following parameters that can be used in our computation:

Triangles = VWX and ZYX

The ASA similarity theorem implies that the corresponding angles of the triangles in question are similar and the sides between these angles are congruent

From the question, we can see that the following corresponding angles on the triangles:

Angles W and Y

Angles X and X

This implies that these angles are congruent angles

For the triangle to be congruent by ASA, the following sides must also be congruent

WX must be congruent to YX

This is indicated in the table of values at (3)

Hence, the additional information on the similarity of the triangles is (d) ASA

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Is this a false or true statement? Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.

Answers

This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.

How is regression calculated?

Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.

What makes regression math so special?

Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.

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A line passes through the point (3,2) and has a slope of 4

Answers

The equation of the line that passes through the point (3,2) and has a slope of 4 is; y = 4x - 10

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

Point (3,2)

Then Slope m = 4

Now Write the equation as;

y - 2 = 4(x - 3)

y = 4x - 10

Hence, The equation of the line is; y = 4x - 10

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What is the slope of the line that passes through the points (2, 3) and (0,11)?

Answers

I think it’s -4 because once you calculate the x and y this is what you get
-4 because i’m doing this in math rn and it’s easy so bam

What is the value of the expression

4(2+y)
______
2y-x
when x = 2 and y = 47

Answers

Answer:

Step-by-step explanation:

I got 196/90

I got this by plugging in 47 for y so I got 4(2+47) and got 196 when I solved it. The bottom one I did 2(47-2) and got 90...( I don't know if it's right though, if wrong I'm sorry)

compute the integral
integral 2x+11/x^2-x-2 dx

Answers

The Integral value of  (2x+11)/(x²-x-2) is[tex]2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex]

What is Integration?

An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data.

The given integral is [tex]\int\dx \frac{2x+11}{x^{2} -x-2} dx[/tex]

By partial fractions we divide the integral

Apply the sum rule:

∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx

[tex]=\int\dx \frac{2x}{x^{2} -x-2} dx+\int\dx \frac{11}{x^{2} -x-2} dx[/tex]

Let  us calculate the first integral part

[tex]=\int\dx \frac{2x}{x^{2} -x-2} dx[/tex]

Let us use the partial fraction of [tex]\frac{x}{x^{2} -x-2} dx:\frac{1}{3(x+1)} +\frac{2}{3(x-2)}[/tex]

[tex]\int\dx \frac{2x}{x^{2} -x-2} dx=2\int\dx \frac{1}{3(x+1)} dx+ \frac{2}{3(x-2)} dx[/tex]

[tex]\int\dx \frac{2x}{x^{2} -x-2} dx=2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)[/tex]

Now let us integrate second term.

[tex]\int\dx \frac{11}{x^{2} -x-2} dx=11\int\dx \frac{1}{x^{2} -x-2} dx[/tex]

We can write denominator as x²-x-2= (x-1/2)²-9/4

[tex]=11\int\dx \frac{1}{(x-\frac{1}{2}) ^{2} -\frac{9}{4}} dx[/tex]

We apply u substitution method

[tex]\int\dx \frac{11}{x^{2} -x-2} dx=-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)[/tex]

[tex]=2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex]

Hence, [tex]2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex] is the integral value of of (2x+11)/(x²-x-2).

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10. The perimeter of the table shown is 16 feet. Write an equation in
the form px + q=r to solve for x.

Answers

the value of x is 5 feets and p = 2, q = 6 and r = 16.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral,

Area of rectangle is A = a*b

Perimeter = 2(a+b)

given in the question that the perimeter is 16 feet.

p= 2(3+x)

p = 6+2x

p = 2

q = 6

r = 16

2x = 10

x =5 feet.

Hence, the value of x is 5 feets.

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For 50 points if someones solves this for me

Answers

Answer:

It will take 48 seconds before the planes are at the same altitude.

When there are at the same altitude, they will be at 3864 feet.

Step-by-step explanation:

Because its right :)

please give brainliest

NO LINKS!! Help me with these 2 column proofs 7aa​

Answers

Here is the two column proof:

    Statement                                        Reason                                              

Diagram                                    GivenOS ≅ OS                                   Reflexive property of congruence    

Proved

===================================================

    Statement                                        Reason                                              

Diagram                                    Given∠C ≅ ∠C                                   Reflexive property of congruence    

Proved

According to a weather report, there is a 53% chance it will
rain tomorrow. What is the probability that it will not rain
tomorrow?

Answers

Answer:

47% or .47

Step-by-step explanation:

Solve for the variable
m/9-1=-2

Answers

Answer:

m = -9

Step-by-step explanation:

m/9 - 1 = -2

m/9 = -1

m = -1 × 9

m = -9

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

check

-9/9 -1 = -2

-2 = -2

the answer is good

94.36 rounded tenths

Answers

okay so, 5 and up gets rounded up, so since 6 is in the hundredths place, you can round up the number in the tenths place. sooo, 94.36 rounded to the nearest tenths will get you 94.4

Answer:

94.4

Step-by-step explanation:

Solve the inequality and graph the solution.
k/2 – 20 ≥ –18

To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

Answers

The graph of the inequality is attached below.

What is inequality?

In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.

Consider, the given inequality

      K/2 - 20 ≥ -18

Add 20 on both sides,

K/2 - 20 + 20 ≥ -18 + 20

               K/2 ≥ 2

Multiply both sides by 2,

        K/2 x 2 ≥ 2 x 2

                  K ≥ 4

Now to graph the inequality.

The graph of the inequality is attached below.

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Two bells P and Q ring at intervals of 3hours and 4hours respectively. After how many hours will the two bells first ring simultaneously (at the same time)

Answers

Answer:

12 hours

Step-by-step explanation:

4 / 2

2/2

1

4 = 2²


2² x 3 = 4 x 3 = 12

1/2 times 4/5 what’s the answer

Answers

Answer:

2/5.

Step-by-step explanation:

1/2 times 4/5 is equal to (1/2) * (4/5), which simplifies to 4/10. Since 4/10 can be simplified to 2/5, the answer is 2/5.

Answer:

the answer is 2/5 or as a decimal 0.4

Teena bought a bicyhcle for $528 after getting a discount of 12% taken off its normal price. Find the normal price of the bicycle.

Answers

Answer:

Originally $600.

Step-by-step explanation:

[tex]\frac{528}{88} =\frac{y}{100}[/tex]

88 · y = 528 · 100

88y = 52800

y = 600

Originally $600.

Alex came home after school one day and found that his mother had left a plate of cookies. Alex ate 1/4 of the cookies. When his sister Bernice came home, she ate 1/3 of the remaining cookies, and when Carla came home, she ate 1/2 of the cookies on the plate. When their mother came home, there were 5 cookies on the plate. How many did each child eat?

Answers

Answer: Children ate 15 cookies and 5 each because Alex ate 1/4 and bernice ate 1/3 and carla ate 1/2
and 5 were left

5 into 3 is 20
and 5 are left so
20-5 is 15
15 divide by 3 is 5

Frame calculation process in your words but the final answer is each child ate 5 cookies.

Please help me on this.

Answers

Es 35 ya que el ángulo el de 35 grados

Find each probability and then order from least probable to most probable.

Answers

AnSwErS:

Target:

1. The probability of rolling a 7 on a 6-sided die.

2. The probability of rolling a 4 on a 6-sided die.

3. The probability of flipping a head on a coin.

4. The probability of drawing a green or red marble from a bag with 6 red, 5 blue, and 3 green marbles.

5. The probability of rolling a number less than 7 on a 6-sided die.

Step-by-step explanation:

HOPE THIS HELPS!!!!

The width of a rectangular table top is 2 1/2 feet shorter than 3 times it’s length. If the perimeter of the table is 43 feet, what is the length, L, of the table

Answers

Answer: length=6 feet

Step-by-step explanation:

For this you need to create one equation from the question and use the equation for perimeter.

equation 1 is     2W+2L=P   where perimeter is 43.

equation 2 is w=3L-2.5

-Now you want to take equation two and plug it into equation 1 for w to find L

It will be  2(3L-2.5)+2L=43 and you want to solve for L

distribute the 2   2(3L-2.5)+2L=43

add up the Ls      6L-5+2L=43

add 5 to each side    8L-5=43

divide each side by    8L=48

Then you get L=6

Now use L=6 to plug into equation two to get W(width)

w=3(6)-2.5=18-2.5=15.5

Now plug in both W and L into equation 1 to make sure you get 43

P=2(15.5)+2(6)=32+12=43 this means that w and l are correct and you get the perimeter given. So length (L) is 6.

Ben lost half of his candies while walking home. His mom gave him 8 more candies. Now he has
22 candies. How many candies did he have to begin with?

Answers

28 the explanation is if you subtract the 8 candies his mom gave him from the total you get 14 which is half of what he originally had if you multiply taht by 2 you get 28 which is how much candy he originally had

What are the possible rational zeros of f(x) = x^4+2x^3-3x^2-4x-12

Answers

The solution of the function f(x) = (x - 2)(x + 6)(x² + x + 2) will be 2, -3, - 1/2 + (√7/2)i, and - 1/2 - (√7/2)i.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The function is given below.

f(x) = (x⁴ + 2x³ - 3x² - 4x - 12)

Factorize the expression, then we have

f(x) = (x⁴ + 2x³ - 3x² - 4x - 12)

f(x) = x⁴ - 2x³ + 4x³ - 8x² + 5x² - 10x + 6x - 12

f(x) = x³(x - 2) + 4x²(x - 2) + 5x(x - 2) + 6(x - 2)

f(x) = (x - 2)(x³ + 4x² + 5x + 6)

f(x) = (x - 2) (x³ + 3x² + x² + 3x + 2x + 6)

f(x) = (x - 2)[x²(x + 3) + x(x + 3) + 2(x + 3)]

f(x) = (x - 2)(x + 6)(x² + x + 2)

The zeroes of the function are given as,

f(x) = 0

(x - 2)(x + 3)(x² + x + 2) = 0

x = 2, -3, - 1/2 + (√7/2)i, - 1/2 - (√7/2)i

The solution of the function f(x) = (x - 2)(x + 6)(x² + x + 2) will be 2, -3, - 1/2 + (√7/2)i, and - 1/2 - (√7/2)i.

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Find the product of -1.5x and -0.25x.
O 0.375x²
O-1.75x²
O 0.375x
O -1.75x

Answers

Step-by-step explanation:

(-1.5)x × -0.25x = 0.375x²

remember, -×- = +

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