Which values for A and B will create many solutions for this system of equations? 4x-Ay=15 -4x+6y=B

Answers

Answer 1

Answer:

A = 6; B = -15

Step-by-step explanation:

To have an infinite number of solutions, both equations must be the same.

4x - Ay = 15

-4x + 6y = B

The only coefficient we see in both equations is the coefficient of the x term. We have -4x and 4x. Multiply both sides of the second equation by -1.

4x - Ay = 15

4x - 6y = -B

For the equation to be equal, we need each term of one equation to be equal to the corresponding term of the other equation.

4x and 4x are equal.

-Ay must equal -6y

-Ay = -6y

-A = -6

A = 6

15 must equal -B

-B = 15

B = -15

Answer: A = 6; B = -15


Related Questions

find the roots of the quadratic equation w+w²/3=0​

Answers

I assume that the equation you mean is below:

[tex] \large \boxed{w + \frac{ {w}^{2} }{3} = 0}[/tex]

To find roots for this equation, we have to get rid of the denominator. We can do by multiplying both sides by 3.

[tex] \large{w(3) + \frac{ {w}^{2} }{3} (3) = 0(3)} \\ \large{3w + {w}^{2} = 0}[/tex]

Factor w-term out (common factor)

[tex] \large{w(3 + w) = 0} \\ \large{w = 0 \: \: \: or \: \: \: 3 + w = 0} \\ \large{w = 0, - 3}[/tex]

Answer

The roots of quadratic equation are 0,-3

Construct a data set that has the given statistics.
n = 7
x = 12
S = 0

Answers

Answer:

The desired data-set is: {12,12,12,12,12,12,12}

Step-by-step explanation:

n = 7

Data set of 7 elements.

x = 12

Mean of 12

S = 0

Standard deviation of 0.

Desired data-set:

Since the desired standard deviation is 0, all the elements in the data-set will be the same. Since the mean is 12, all elements is 12. 7 elements.

The desired data-set is: {12,12,12,12,12,12,12}

The table below shows Karen's distance during the marathon. What is a reasonable explanation for what happened between hours 2 and 3.
o
Karen ran backwards for an hour.
Karen ran 2 miles between hours 2 and 3.
Karen decided to rest and stopped running for an hour.
K aren ran at the same speed between hours 2 and 3.
rious

Answers

Answer:

C. Karen decided to rest and stopped running for an hour

Step-by-step explanation:

The line of the graph shows a horizontal line between hours 2 and 3 with a corresponding distance that remains the same on the y-axis. This simply means that, only the hours change but distance didn't change. Therefore, it can be concluded that after for 1 hour, Karen decided to stop over and rest.

Answer:

the answer is C

Step-by-step explanation:

Somebody help me to solve this inequality:8x-2>15x-6.​

Answers

Answer:

x< 4/7

Step-by-step explanation:

See image below:)


I need Help Please asp!!!

Answers

9514 1404 393

Answer:

  174.4 cm³

Step-by-step explanation:

The relevant volume formulas are ...

  V = πr²h . . . . . cylinder of radius r and height h

  V = 4/3πr³ . . . . sphere of radius r

__

Then the difference in volume between the cylinder and the 3 spheres is ...

  ΔV = π(2.5 cm)²(14 cm) -3(4/3π(2 cm)³) = π(87.5 -32) cm³ = 55.5π cm³

The volume of air is about 174.4 cm³.

Write the equation of the line passing through the point (−2, 1) that is parallel to y=−4x+3.

Answers

It was some mistake in previous one so i edited this one.

Ms. Jackson is making book bags for her class. She needs 2 2/3 yards of fabric for each book bag. If she
wants to make 10 book bags, how much fabric should she buy?

Answers

Answer:

26 2/3

Step-by-step explanation:

first you want to times the yards which gives you 20 yards.

next you times the 2/3 by 10 giving you 20/3 yards. the fraction converted into a mixed numeral is 6 & 2/3.

add both the 6 & 2/3 and the 20 which gives you 26 2/3

Answer:

26 2/3 is the answer.

Explanation:

Add the wholes first. That will give you 20. Then add the fractions. That will give you 20/3. When you write that in a mixed number, it will be 6 2/3. Add 20 with 6 2/3. That will give you 26 2/3 as the final answer.

Which expression is equivalent to 1/2x + 8

Answers

Answer:

1/2( x+16)

Step-by-step explanation:

1/2x + 8

Factor out 1/2

1/2*x + 1/2 *16

1/2( x+16)

4x^2+4x-14=0 solve and explain then you get brainliest .

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

Can somebody please help

Answers

45 step by step below

Answer:

Approximately 46.29 feet

Step-by-step explanation:

solve for x to the nearest tenth y completing the square: x^2-5x+7=0​

Answers

Answer:

does not have a solution because √-0.75 ≠ R

Step-by-step explanation:

x^2 - 5x + (5/2)^2 = -7

x^2 - 5x + 6.25 = -7 + 6.25

(x - 2.5)^2 = -0.75

(x - 2.5) = √-0.75

does not have a solution because √-0.75 ≠ R

Answer:

x = (1/2)(5 ± i√3)

Step-by-step explanation:

x² - 5x + 7 = 0

subtract 7 from both sides

x² - 5x = -7

Use half the x coefficent, -5/2, as the complete the square term

(x - 5/2)² = -7 + (-5/2)²

(x - 5/2)² = -7 + 25/4

(x - 5/2)² = -3/4

Take the square root of both sides

x - 5/2 = ±(√-3) / 2

x - 5/2 = ±(i√3) / 2

Add 5/2 to both sides

x = 5/2 ± (i√3) / 2

factor out 1/2

x = (1/2)(5 ± i√3)

Is 3 Liters equal to 300 mL. Is 3 yards equal to 12 feet. Is 3 tons equal to 9,000 lb

Answers

Answer:

3 Liters = 3000 ml

3 Yards = 12 feet

3 tons = 6000 lb.

Hope that this helps!

Answer:

3 Liters is equal to 3,000 mL

3 Yards is equal to 9 feet

3 Tons is 6,000 lbs

Step-by-step explanation:

Hope this helped!

8) The sides of a flower garden are shown in the diagram below. What is the perimeter of the flower garden? 4m 2 m​

Answers

Answer:

18.28 m

Step-by-step explanation:

Given the flower garden in the question :

The shape is composite and can be divided into 2 semicirles and rectangle

The perimeter of a semicircle is the Circumference of the semicircle = πr

Hence, 2 semicirles = 2πr

Radius of semicircle = 2/2 = 1

Perimeter = 2 * 3.14 * 1² = 2 * 3.14 * 1 = 6.28 m

The perimeter of rectangle; length and width are 6m and 2 m respectively :

Perimeter of rectangle = 2(l + w) = 2(4+2) = 2(6) = 12m

Tve perimeter of garden = 6.28 + 12 = 18.28 m

-2/3×3/5+5/2-3/5×1/6​

Answers

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{-2}{3}*\frac{3}{5}+\frac{5}{2}-\frac{3}{5}*\frac{1}{6}=\frac{-2}{5}+\frac{5}{2}-\frac{1}{5*2}\\\\= \frac{-2}{5}+\frac{5}{2}-\frac{1}{10}\\\\=\frac{-2*2}{5*2}+\frac{5*5}{2*5}-\frac{1}{10}\\\\=\frac{-4}{10}+\frac{25}{10}-\frac{1}{10}\\\\=\frac{-4+25-1}{10}\\\\=\frac{20}{10}\\\\= 2[/tex]

What is the slope and y-intercept of 6x-5y=13

Answers

Answer:

The slope is 6/5 and the y intercept is -13/5

Step-by-step explanation:

6x-5y=13

Solve for y

Subtract 6x from each side

6x-6x-5y=-6x+13

-5y = -6x+13

Divide by -5

-5y/-5 = -6x/-5 +13/-5

y = +6/5x -13/5

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

The slope is 6/5 and the y intercept is -13/5

PLSS HELP ASAP!!!! I’ll give you 30 points!!!

Answers

Answer:

174.8 in²

Step-by-step explanation:

Shaded area = square area - circle area

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

Square

a = 15 * 15

a = 225

Circle

a = π * 4²

a = 3.14 * 16

a = 50.24

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

Shaded

a = 225 - 50.24

a = 174.76

Rounded

174.8 in²

The difference between 8 and a number is 5.

Answers

Answer:

the answer is 3.

Step-by-step explanation:

Difference between means to subtract.

8 - 5 = 3

Answer:

8- a = 5

Step-by-step explanation:

A small engine shop receives an average of repair calls per​ hour, with a standard deviation of . What is the mean and standard deviation of the number of calls it receives for ​-hour ​day? What, if​ anything, did you​ assume?

Answers

Answer:

Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N-instances of a normal variable:

For n-instances of normal variable, the mean of the distribution is: [tex]m = n\mu[/tex], and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex]

What is the mean and standard deviation of the number of calls it receives for ​n-hour ​day?

Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.

To estimate the height of a skyscraper 1km in the distance, Jenny finds that if her friend Steve stands 2.5 meters away, the top of his head just lines up with the top of the building. Steve is 2 meters tall, and Jenny's eye is 1.5 meters from the ground. How high is the building

Answers

Answer:

The answer is below

Step-by-step explanation:

Similar triangle are triangles with the same shape, equal pair of corresponding angles. Also they have the same ratio of the corresponding sides.

From the diagram attached, we can see that triangle ABC and triangle CEF are similar triangles. Hence:

AB/BC = CF/EF

Given that BC = 1 km = 1000 m, CF = 2 m - 1.5 m = 0.5 m, EF = 2.5 m.

Hence:

AB/1000 = 0.5/2.5

AB = (0.5/2.5) * 1000 = 200 m

The height of the building = AB + height of Steve = 200 m + 2 m

The height of the building = 202 m

Solve for 2. Round to the nearest tenth of a degree, if necessary.
L
90
K
80
J

Answers

42 degrees use sin a/a= sin b/b= sin c/c and plug in what you know from this you cross multiply and use inverse sin to get a degree which is 41.8 and 42 tk the nearest tenth

Answer:

41.6

Step-by-step explanation:

got it wrong and it showed me the right answer

When 390 junior college students were surveyed,115 said that they have previously owned a motorcycle. Find a point estimate for p, the population proportion of students who have previously owned a motorcycle.

a. 0.705
b. 0.228
c. 0.295
d. 0.418

Answers

Answer:

0.2948 ≅ 0.295

Step-by-step explanation:

According to the Question,

Given, 390 junior college students were surveyed,115 said that they have previously owned a motorcycle .

So, the population proportion of students who have previously owned a motorcycle is 115/390 ⇔ 0.2948 ≅ 0.295

1. how many cubic meters are in 250,000 cubic centimeters?
A. 0.025m³ B. 0.25m³ C. 2.50 m³ D. 25

2. the volume of an ordinary box is 3.5 m³. wxpress its volume in cm³?
A. 350 cm³ B. 35000 cm³ C. 3500000 cm³ D. 35000000 cm³

3. Write 1.6 dm³ in cubic centemeters.
A. 1.6 cm B. 16 cm³ C. 160 cm³ D. 1600 cm

4. What is 500dm³ in m³?
A. 0.005 m³ B. 0.05m³ C. 0.5 m³ D. 5 m³

Answers

Answer:

1) 1m³ is 100cm*100cm*100cm = 1,000,000cm³

so 250,00cm³ are just 0.25m³

2) looking at the conversion above, three point five million is correct

3) 1dm³ = 10cm*10cm*10cm = 1,000cm³

D, as in Dewey Duck

4) 1m³ = 10dm*10dm*10dm = 1,000dm³

see that it's C?

The average marks for 25 students in a mathematics was was 48.






what was the total marks scored by the students?



A student who scored 84 marks was absent.

what was would be the average of the remaining students?​

Answers

Answer:

132

Step-by-step explanation:

48

+ 84

--------

132

_____

I need the answers pls!!!!
please​

Answers

Answer:

[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]

Step-by-step explanation:

Given

[tex](4x - 3)(5x - 8)[/tex]

Required

Identify and correct error

The error is when the inner and outer terms are multiplied. i.e.

[tex]4x * -8 = -32x[/tex] not 32x

[tex]-3 * 5x = -15x[/tex] not 15x

So, the expression is:

[tex](4x - 3)(5x - 8) = 20x^2 - 32x -15x + 24[/tex]

[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]

Mr. Akika has 33 18 cent and 32 cent stamps all told. The stamps are worth $9.02. How many of each kind of stamp does he have? Mr. Akika has 18 cent stamps and 32-сent stamps Enter your answer in each of the answer boxes.​

Answers

Answer:

Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

Step-by-step explanation:

Given that Mr. Akika has 33 18 cent and 32 cent stamps all told, and the stamps are worth $ 9.02, to determine how many of each kind of stamp does he have the following calculation must be performed:

10 x 0.18 + 23 x 0.32 = 9.16

11 x 0.18 + 22 x 0.32 = 9.02

Therefore, Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

A light bulb consumes 960 watt-hours per day how long does it take to consume 5040 watt-hours?

Answers

Answer:

5 hour and 25 mins

Step-by-step explanation:

A survey conducted by General Motors of 38 drivers in America, 34 indicated that they would prefer a car with a sunroof over one without. When estimating the proportion of all Americans who would prefer a car with a sunroof over one without with 99% confidence, what is the margin of error

Answers

Answer:

The margin of error is of 0.1282 = 12.82%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A survey conducted by General Motors of 38 drivers in America, 34 indicated that they would prefer a car with a sunroof over one without.

This means that [tex]n = 38, \pi = \frac{34}{38} = 0.8947[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

What is the margin of error?

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 2.575\sqrt{\frac{0.8947*0.1053}{38}} = 0.1282[/tex]

The margin of error is of 0.1282 = 12.82%.

Hello Plsss ...... this is important

Answers

Ordered Pair for point X: (5,4)
your answer is (5,4)

Help me!! Which statement is correct?

Answers

Answer:

D option is correct

( At Q3 the market is wasting society's .. )

0.135 written as a fraction is

Answers

Answer:

[tex] \frac{27}{200} [/tex]

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 1000. Reduce the fraction.

Hope it is helpful...
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