Does the following system have a unique solution? Why?

Does The Following System Have A Unique Solution? Why?

Answers

Answer 1
Yes, multiply the bottom equation by 2 to get -2x+4y=16
Add the two equations to cancel out the x and get 8y=29
This has a solution

Related Questions

A swimming pool shaped like a rectangular prism measures 50 meters long 25 meters wide Ann’s 3 meters deep

Answers

Answer:

what is the question please ask properly

Answer:

volume = 3750 m³

Step-by-step explanation:

volume = length × width × height

volume = 50 m × 25 m × 3 m

volume = 3750 m³

Order ³√97, 78/9, √45 from greatest to least.

³√97, 78/9, √45
78/9, √45, ³√97
³√97, √45, 78/9
78/9, ³√97, √45

Answers

The order of the number from greatest to least is option (B) 78/9 , [tex]\sqrt{45}[/tex]  , [tex]\sqrt[3]{97}[/tex]

The given numbers are

[tex]\sqrt[3]{97}[/tex], 78/9 and [tex]\sqrt{45}[/tex]

To find the descending order of the numbers, first we have to convert the numbers to a single form

The first number = [tex]\sqrt[3]{97}[/tex]

Convert the cube root of the 97 to the decimal form

[tex]\sqrt[3]{97}[/tex] = 4.59

The second number = 78/9

Convert the simple fraction to the decimal form

78/9 = 8.67

The third number = [tex]\sqrt{45}[/tex]

Convert the root of 45 to the decimal form

[tex]\sqrt{45}[/tex] = 6.70

Compare the numbers in decimal form and write in descending  order

78/9 > [tex]\sqrt{45}[/tex]  > [tex]\sqrt[3]{97}[/tex]

Therefore, the descending order is 78/9 , [tex]\sqrt{45}[/tex]  , [tex]\sqrt[3]{97}[/tex]

Learn more about decimal form here

brainly.com/question/16361602

#SPJ4

Simplify the expression (3/7)^2

A: 3/7

B: 6/14

C: 9/49

D: 5/9

Answers

Answer: c

Step-by-step explanation:

PLS HELP

Using the table below, what is the y-intercept of the
parabola?

Answers

Answer:

The y-intercept of the table shown is (0, 1).

How to find a y-intercept of a parabola/equation?

The y-intercept of the parabola can be found by verifying if any coordinates from the table has x = 0 and y = some specific value. If there is a coordinate point such that the value of both is x = 0 and y = any value, then the value of y is the y-intercept of the parabola. Further explained in example:

Example: if a line passes through a coordinate point (0, 4), the y-intercept for that line is four because the value of x is 0 and y is 4.

Solving the Problem/Question (Applying the method stated above):

From the table, we can tell that the parabola passes through the following coordinate points: (-2, -11); (-1, -4); (0, 1); (1, 4); (2, 5); (3, 4); (4, 1).

From all the coordinates, we find that (0, 1) has the value of x as 0 and the value of y as 1. Therefore, this coordinate point (0, 1) is the y-intercept.

Learn more about y-intercepts of parabola(s): https://brainly.com/question/4025853

isosceles triangle, please find y and x and give/show work.

Answers

Step-by-step explanation:

because it is an isoceles triangle (both legs are equally long), also both side angles on the baseline must be equally large.

so, we have

4x + 3 = 2x + 29

4x = 2x + 26

2x = 26

x = 26/2 = 13

41 = 3y + 2

39 = 3y

y = 39/3 = 13

PLEASE HELP THE QUESTION IN THE PICTURE.

Answers

the answer is 4/5 this is know to be hard

Find the circumference and the area of a circle with radius 8 cm.
Use the value 3.14 for TT, and do
not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

Area: 200.96

Circumference: 50.24

Step-by-step explanation:

Area: π* r²

Circumference: 2* π*r

find the area of q triangle with a base of 10m and a height of 4m.​

Answers

Answer:20[tex]m^{2}[/tex]

Step-by-step explanation:

The formula to find the area of a triangle is [tex]\frac{1}{2}[/tex]bh.

b is the base value

h is the value of the height.

1/2b is 5 and 5 times 4 is 20 :)

5 w ​ =3 what is it find the w

Answers

Answer:

w = 3/5

Step-by-step explanation:

Given equation,

→ 5w = 3

Now the value of w will be,

→ 5w = 3

→ w = 3 ÷ 5

→ [ w = 3/5 ]

Hence, the value of w is 3/5.

Solve the proportion using cross products. Round t the nearest hundredth if necessary 22 miles /55 hours = 12 miles/k hours

Answers

Solving the proportion 22 miles/ 55 hours :: 12 miles/ k hours using cross products, value of h is 30.

Define proportion.

Comparing two integers that each stand for a component of a whole results in a proportion. In essence, a percentage declares that two fractions are equal, regardless of the difference in amount. For instance, the ratio of half of 10 marbles to half of 50 marbles is 10. When determining if two ratios or fractions are equivalent, the proportion formula is utilized. By dividing the supplied values, we may determine the missing value. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, b::c: d = a/b = c/d.

Given,

22 miles/ 55 hours = 12 miles/ k hours

Solving the proportion using cross products,

22 × h = 12 × 55

22 × h = 660

h = 660 ÷ 22

h = 30

Solving the proportion 22 miles/ 55 hours :: 12 miles/ k hours using cross products, value of h is 30.

To learn more about proportion, visit:

https://brainly.com/question/2548537

#SPJ1

Find a solution to the linear equation y=2x+6 by filling in the boxes with a valid value of x and y.

Answers

Answer:

The answer to the linear equation y = 2x + 6 is (x, y) = (1, 2.5). This means that if we plug in x = 1 into the equation, we get y = 2.5.

Step-by-step explanation:

To find the solution to the linear equation y = 2x + 6, we can first rewrite the equation in slope-intercept form. This is done by rearranging the equation to have the form y = mx + b, where m is the slope of the line and b is the y-intercept.

In this case, we have y = 2x + 6. To put this equation in slope-intercept form, we need to isolate the y-term on one side of the equation. We can do this by subtracting 2x from both sides, which gives us y - 2x = 6.

Next, we need to divide both sides of the equation by the coefficient of the y-term, which is -2 in this case. This gives us the equation y = -(1/2)x + 3.

Finally, we can plug in any value of x that we want to find the corresponding value of y. For example, if we plug in x = 1, we get y = -(1/2) * 1 + 3 = 2.5. Therefore, the solution to the equation y = 2x + 6 is (x, y) = (1, 2.5).

In general, if we want to find the solution to a linear equation in slope-intercept form, we can plug in any value of x that we want to find the corresponding value of y. This process is called graphing the line, and it is a useful way to visualize the solutions to linear equations.

computer is not intelligence why

(18 - 4) to the power of 2

Answers

Answer:

196

Step-by-step explanation:

[tex](18-4){2}[/tex] = (18-4) x (18-4) = 14 x 14 = 196

196
do pemdas so parenthesis first then distribute the exponent

What is the value of x if 7−9x=10?

Answers

Answer:

[tex]\frac{-1}{3}[/tex]

Step-by-step explanation:

7 - 9x = 10  Subtract 7 from both sides of the eqaution

-9x = 3  Divide both sides by -9

x = [tex]\frac{-3}{9}[/tex] = [tex]\frac{-1}{3}[/tex]

Find three consecutive odd numbers whose sum is 1899.

Answers

Answer:

631, 633, 635

Step-by-step explanation:

Odd numbers exists in AP with common difference of 2.

That is; 1, 2, 5, 7 etc

So lets say the middle number of the three consecutive numbers is x, the next number to it Will be (x+2), and the previous number will be (x-2)

Therefore, the sequence is (x-2), x, (x+2) ... (1)

and the series will be, (x+

-2) + x + (x+2) = 1899

Solve for x;

x + x + x - 2 + 2 = 1899

3x + 0 = 1899

x = 1899 ÷ 3

x = 633

Therefore the consecutive odd numbers (following 1) is: (633 - 2), 633, (633+2) = 631, 633, 635

What are the slope and y-intercept of the linear function that is represented by the equation y=-10x1?

Answers

Answer:

Step-by-step explanation:

y=-10x1 = -10

y intersects at -10 as a horizontal line.

Which function and domain could represent the given
graph?
O f(x)=1-Lx]; -3 O f(x) = 1 + Lx]; -3 ≤x≤ 3
O f(x)=-Lxl; -3 ≤x≤3
O f(x)=Lx]; -3

Answers

f(x) = -Lxl is the function and -3 ≤x≤3 is the domain that could represent the given graph .

What is a function ?

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

What is a domain ?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

Thus , from the graph it can be clearly depicted that it is representing f(x)=-Lxl for an entire range of  -3 ≤x≤3 .

Hence , f(x) = -Lxl is the function and -3 ≤x≤3 is the domain that could represent the given graph .

Learn more about function and domain  at:

https://brainly.com/question/1369616

#SPJ1

Answer:

c

Step-by-step explanation:

just did assignment

50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!!
PLEASE HELP

Which algebraic rule describes the translation of LM to L'M'?

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

There are two times the amount of milk chocolate bars as there are dark chocolate bars in a box. If there are a total of 138 candy bars in the box, How many of each kinds of chocolate bar are in the box?

Answers

The candy box has 46 chocolate bars and 92 milk bars.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that there are two times the amount of milk chocolate bars as there are dark chocolate bars in a box. There are a total of 138 candy bars in the box.

Assume that there are [x] chocolate bars in the box. Then, there will be [2x] milk bars. So, we can write -

2x + x = 138

3x = 138

x = 138/3

x = 46

Therefore, there are 46 chocolate bars and (2 x 46) or 92 milk bars in the candy box.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

Caleb purchased video games for $45 each. He bought $540 worth of video games.

If x is the number of video games, which equation can be used to find the total number of video games Caleb purchased?

Answers

Answer:

y=45x-540

Step-by-step explanation:

Which of the following is not a measure of dispersion?
A.Quartiles
B.Mean deviation
C.Quartile deviation
D.Range

Answers

The metrics of dispersion are mean deviation and range. While quartile deviation is a measure of dispersion, quartiles themselves are not.

Which four quartiles are there?

25% from the lowest to the highest number in the first quartile. 25.1% to 50% in the second quartile (till median) Three-quarter range: 51% to 75% (above the median) 25% of the highest values are in the fourth quartile.

What do the three quartiles go by?

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3). As the second quartile, the median is used (Q2). The distance between the upper and lower quartiles is known as the interquartile range.

To know more about quartiles visit:

https://brainly.com/question/29089547

#SPJ4

John's salary is $25.38 per hour. He gets a raise of $0.85, what is the percent increase?

Answers

The percentage of the increment in Hohn's salary will be 3.35%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

John's compensation is $25.38 for each hour. He receives a pay increase of $0.85

The percentage of the increment is calculated as,

P = (0.85 / 25.38) / 100

P = 0.0335 x 100

P = 3.35%

The percentage of the increment in Hohn's salary will be 3.35%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Evaluate the following expression when x = 28 and y = 25. -> 11(x-y)³ +
11x-31
OA. 574
OB. -15,040
OC., 241,749
OD. 376
PLS NEEDED FAST I’M GETTING TIMED THANK U SO MUCH PLS LOOK AT PHOTO!!

Answers

Refer to the photo taken.

Please help is due tonight

Answers

The linear function that has the greatest initial value is Function C.

Function B has the greatest rate of change.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Function A:

The initial value is o.

f(0) = 0

The rate of change.

= (f(4) - f(2)) / 4 - 2

= (10 - 5) / 2

= 5/2

= 2.5

Function B:

The initial value is

y = 3x - 1

y = 3 x 0 - 1 = 0 - 1 = -1

Let y = f(x)

The rate of change.

= (f(2) - f(1)) / (2 - 1)

= (5 - 2) / 1

= 3

Function C:

The initial value is 2.

(0, 2) is considered as when x = 0, y = 2.

Take two coordinates from the graph.

(3, 3) and (6, 4)

The rate of change.

= (4 - 3) / (6 - 3)

= 1/3

= 0.33

Thus,

Function C has the greatest initial value.

Function B has the greatest rate of change.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

50 POINTS AND THE BRAINLIEST!! These items are all on sale with one-third off. What was the full price of each?
Sale price: Original full price:


£32.24 £_________


£86.08 £_________


£105.48 £_________


£230.62 £___________

Answers

Answer:

A. £48.36

B. £129.12

C. £158.22

D. £345.93

Step-by-step explanation:

Divide by two and add the quotient for each question to get the answer.

A rectangular garden is 20 meters wide.the perimeter of the garden is 110 meters. What is the length

Answers

Answer: the length of the garden is 35 meters

Step-by-step explanation:

The formula for perimeter is 2W+2L=perimeter

With the given information you can plug in the values and use them to solve for the length, L.

W=20 and p=110 so now plug them in and solve for L

2(20)+2L=110      multiply the 20 by 2

40+2L=110      subtract 40 from both sides

2L=70    divide both sides by 2

L= 35 meters

You can check to see if you got the right answer by plugging the L in and find p.

2(20)+2(35)=40+70=110 by getting 110 it means it is the correct value for L

PLEASE HELP 10 FREE BRAINLY POINTS IF YOU ANSWER THIS


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

Answers

Answer:

The probabilities are:

1. 1/6

2. 1/2

3. 9/14

4. 0

5. 1

So ordering from least to most probable:

4. 7 on a 6 sided die

1. 4 on a 6 sided die

2. heads with a coin

3. red or green marble

5. <7 on a 6 sided die.

Step-by-step explanation:

1. The probability of rolling 4 on a 6-sided die is 1/6, as each side is equally probable.

2. The probability of flipping a coin onto heads is 1/2, as there are 2 equally probable outcomes.

3. The probability of drawing red or green out of 6 red, 5 blue, 3 green is 9/14 (9 positive outcomes out of 14).

4. The probability of rolling a 7 with a 6 sided die is 0, as there is no such number on the die.

5. The probability of rolling a number less than 7 on a 6 sided die is 100%, or 1, because any outcome is positive (we can only roll numbers smaller than 7).

The probabilities are:

1. 1/6

2. 1/2

3. 9/14

4. 0

5. 1

So ordering from least to most probable:

4. 7 on a 6 sided die

1. 4 on a 6 sided die

2. heads with a coin

3. red or green marble

5. <7 on a 6 sided die.

Answer:

Step-by-step explanation:

all creds to person above

Help !! Pls :3:’dnmdnsnms

Answers

The reason for the similarity of the triangles FGH and JHK is given as follows:

HL.

What are the similarity theorems?

The similarity theorems are listed as follows:

SAS: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent by the SAS theorem.ASA: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent by the ASA theorem.SSS: If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are congruent by the SSS theorem.SSA: If two sides and an angle not include between them are respectively equal to two sides and an angle of the other then the two triangles are congruent by the SSA theorem.

The similarities between the triangles FGH and JHK are given as follows:

Angles G and H are equal -> right angles.Sides GH and HK are congruent.Sides FH and JK are congruent.

As they are right triangles, the remaining side should also be equal, according to the trigonometric ratios, hence the theorem is the SSS theorem, also called HL theorem.

More can be learned about similarity theorems at https://brainly.com/question/21247688

#SPJ1

Evaluate x/y for x = 3/10 and = 4/5

A: 7/50

B: 7/15

C: 3/8

D: 12/50

Answers

Answer:The correct anserw is B.

Step-by-step explanation:

Asha has 5 more 40¢ stamps than 30¢ stamps. The total value of her
40¢ stamps is $5.20 more than that of her 30¢ stamps. How many of the
40¢ stamps does Asha have?

Answers

Answer:

37?

Step-by-step explanation:

Consider parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3). Classify the parallelogram and select ALL that apply.
Group of answer choices

ABCD is a rectangle.

ABCD is a square.

ABCD is a rhombus.

ABCD is none of these.

Answers

The parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3) is a rectangle as two sides are equal, so option A is correct.

What is parallelogram?

A unique kind of quadrilateral created by parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but for it to be a parallelogram, its opposite sides must be parallel.

Given data:

The parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3),

Calculate the distance of sides as shown below

[tex]AB = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB = [tex]\sqrt{[-7-(-8)]^2 + (8-5)^2}[/tex]

AB =  √(1² + 3²)

AB = √10

Calculate

BC = [tex]\sqrt{[-1-(-7)]^2+(6 - 8)^2}[/tex]

BC = √(36 + 4)

BC = √40 or 2√10

Similarly,

CD = √10

And AD = 2√10

Here AB = CD and BC = AD, opposite sides equal, so it is a rectangle. Therefore, the parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3) is a rectangle as two sides are equal.

To know more about Parallelogram:

https://brainly.com/question/29765558

#SPJ1

Other Questions
Find the Missing Side LengthsInstructions: Use the ratio of a 45-45-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.x=____y=_____ Solve the systemx+y=65x-y=3by graphing and by substitution. Compare themethods. Which method is more accurate? Explain Complete the chart for the given proof. GIVEN: the midpoint of AB -0.47x+0.27x = 5.8 Solve for X in the m/m/1 waiting line model with an arrival rate of 3 per hour and a service rate of 6 per hour, the utilization factor for the system is approximately 0.50. group of answer choices true false what needs to be known to determine the critical values for an independent-samples t test? the society of automotive engineers has established an accepted numerical scale to measure the viscosity of motor oil. for example, sae 40 motor oil has a higher viscosity than an sae 10 oil. rank the following hydrocarbons by their expected viscosity.a. CH3CH2CH2CH2CH3b. CH3CH2(CH2)6CH2CH3c. CH3CH2(CH2)11CH2CH31. most viscous2. least viscous How is energy released from hydrocarbon fuels? Why was trade interrupted between european powers and the ming dynasty in the 15th century? Which of the following is NOT an insurer policy expense?a. Rent b. Salariesd. Commissionse. Premiums this imposes another condition on the charge densities on the surfaces of the plates. how can this condition be expressed? Suppose you have a set of measurements.What additional information would you need to describe theaccuracy of the measurements? (i) after the initial centroids are assigned (shown above), the first step in a clustering process is to check the rest of the points and assign them to one of the two clusters. here we assume that the centroid remain unchanged during the first round (iteration). determine cluster memberships (which points belong to cluster 1 and which belong to cluster 2) for each of these 7 points after the first iteration. show intermediate results how you obtain the solution during the final phase of a well-designed and systematic orientation program, the employee is assigned to: the yield to maturity on one-year zero-coupon bonds is 9%. the yield to maturity on two-year zero-coupon bonds is 10%. required: a. what is the forward rate of interest for the second year? select the highlighted passages that represent accurate descriptions of susan sheplers fieldwork in sierra leone.What Is the Credit Card Accountability, Responsibility, and Disclosure Act of 2009? when capital structure changes after the merger, which method will be the most appropriate to value target firms in merger analysis? ________________ is the scientific study of disease. Expressions used for descriptive or rhetorical effect that are not literally true but that express some truth beyond the literal levela. figurative languageb. extended metaphorc. metaphord. personificatione. simile A box of cereal weighs 14 ounces and costs $2. 66. What is the price per ounce of the cereal?.