Linear Algebra question.

Linear Algebra Question.

Answers

Answer 1

Answer:

ax + y = (21, -16, 29)

Step-by-step explanation:

ax + y = [(-6a + 3), (3a - 7), (-8a + 5)]

now,

-8a + 5 = 29

a = (29 - 5)/-8

a = -3

ax + y = [(-6)(-3)+3, 3(-3)-7, 29]

ax + y = (21, -16, 29)


Related Questions

As a construction worker, you are building a cylindrical grain silo with a radius of 10 meters and a volume of 6,280 cubic meters.

Which formula will determine the height of the silo? Rounded to the nearest whole number of meters, what is the height of the silo?
, 6 meters
, 14 meters
, 20 meters
, 25 meters
, 80 meters

Answers

Answer:

[tex]h=\frac{V}{\pi r^{2} }[/tex], 20 meters

Step-by-step explanation:

The formula for the volume of the silo is: [tex]V=\pi r^{2} h[/tex]

You are given:

Volume= 6,280 cubic meters

Radius= 10 meters

Therefore, you can solve for the height by getting h on it's own side.

The formula for the height of the silo is given by:  [tex]h=\frac{V}{\pi r^{2} }[/tex]

Now solve using the given values:   [tex]h=\frac{6,280}{\pi (10)^{2} }[/tex]

The height of the silo = 20 meters

An urn contains 100 marbles. Fifty are purple, ten are green,
fifteen are red, and twenty-five are orange. Two marbles are drawn
at random one after another without replacement. Calculate each probability.

Answers

The probability of picking a purple and green marbles is 0.05.

What is a probability?

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

Number of purple marble = 50

Number of green marbles = 10

Total number of marbles = 100

The probability of picking a purple and green marbles will be:

= 50/100 × 10/99

= 0.05

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Complete question

A urn contains 100 marbles. Fifty are purple, ten are green, fifteen are red, and twenty-five are orange. Two marbles are drawn at random one after another without replacement. Calculate the probability of picking a purple and green marbles

20 points and brainliest

Answers

Answer:

A,B,C

Step-by-step explanation:

the number in x has to be a different number it can't be the same

example:

2x+3=5x+79

wrong way:

5x+3=5x+79

that equals no solution

hope this helps

What is the Minimum value of k=

Answers

Answer:

k = -3

Step-by-step explanation:

Lines in the form y=k are horizontal. The lowest point on the parabola has a y-value of -3. That is the value where y=-3 will intersect the parabola at exactly one point. Every k value above this will have 2 points of intersection.

The perimeter of a rectangle is 34 centimeters. The length is two more than twice the width. Find the length and the width of the rectangle.

Answers

The length of a rectangle is 12 units and width is 5 units.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

To determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given that the Perimeter of a rectangle = 34 cm.

and, length is two more than twice the width.

Thus the width be x.

So, the length = 2x + 2

So,

Perimeter of rectangle = 2 ( l +w )

34 = 2( x+ 2x+ 2)

17 = 3x +2

3x = 15

x= 5

2(5)+2 = 12

So, The length is 12 units and width is 5 units.

Learn more about Algebra here:

brainly.com/question/24875240

#SPJ1

Given f(x) =(4-x)², what is the value of f(16)?

Answers

Answer:

144

Step-by-step explanation:

Answer:48

Step-by-step explanation:

Wherever you see an x on the right, you put a 16. That's what f(16) means.

f(16) = 1/3 (4 - 16)^2

f(16) = 1/3 (- 12)^2

f(16) = 1/3 (144)

f(16) = 48

what are numbers with exactly three prime factors?

Answers

Answer:30

Step-by-step explanation:

30 is the smallest number that has three different prime factors.

30


1 x 30
2 x 15
3 x 10

(-6) • (-2) what is it the

Answers

The answer is positive 12

[tex]\fbox{12}[/tex]

When multiplying two negative numbers, the answer will always be positive.

[tex]-6\times-2[/tex]

[tex]=12[/tex]

Could someone please help me with this?

Answers

Answer: yes, 1/3, 1/3x

Step-by-step explanation:

Does x vary directly with y?

This basically means is this a linear function and the answer is yes it is.

What is the constant of variation?

The constant of variation is 1/3 because you have to multiply each x value by 1/3 to get the y value

What is the function rule?

y = 1/3x

Help please and asap thank you asap !!!!!!

Answers

Answer:

F(x) = m1/5

Step-by-step explanation:

M1/5
Hope this helps!

"Let U={b, c, d, e, f, g, h} and A={b, f, g, h}. Use the roster method to write the set A'
A'= {____ }

(Use a comma to separate answers as needed.)"

Answers

If U = {b, c, d, e, f, g, h} and A = {b, f, g, h}, using the roster method to write the set A' which is the set complement of A gives; A' = {c, d, e}

How to find the complement of the set?

Sets are defined as groups of clearly specified components. The number of items that exist in a finite set is denoted by a curly bracket.

We are given;

Universal Set U = {b, c, d, e, f, g, h}

Subset A = {b, f, g, h}.

The roster method to write the set A' which is the complement of A will be expressed as;

A' = U - A

Thus;

A' = {b, c, d, e, f, g, h} - {b, f, g, h}

A' = {c, d, e}

The roster method to write the set A' will be {c, d, e}.

Read more about complement of set at; https://brainly.com/question/17513609

#SPJ1

If a six-sided number cube is rolled 5 times, what is the probability of getting at least one multiple of 3?

Answers

The probability of getting at least one multiple of 3 when a six-sided number cube is rolled 5 times is 1/7776 or 0.01%.

What is probability?

Probability shows the likelihood of an event happening.  it can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1.

Probability of getting at least one multiple of 3 = 1/6.

Probability of getting at least one multiple of 3 five times = probability of getting at least one multiple of 3 first time×probability of getting at least one multiple of 3-second time×probability of getting at least one multiple of 3 third time ×probability of getting at least one multiple of 3 fourth time ×probability of getting at least one multiple of 3 fifths time.

Probability of getting at least one multiple of 3 five times

= (1/6) × (1/6) × (1/6) × (1/6) × (1/6)

= 1/7776.

Learn more about probability on

brainly.com/question/17084679

#SPJ1

If h(x)=5x-6 which expression is equivalent to (h+h)(2)?
A 5(2+2)-6
B 5[5(2)-6]-6
C 52-6+52-6
D 5(2)-6+5(2)-6

Answers

The equivalent of (h+h)(2) of the function h(x) = 5x - 6 is 5[5(2) - 6] -6 which is option B

What is a function?

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).

h(x) = 5x - 6

(h + h)(x) = h(x) in x. This means put the function in h(x)

so x = 5x - 6

so (h + h)(x) = 5(5x-6) -6

if x = 2,

we have (h + h)(2) = 5[5(2) -6] -6

In conclusion the expression  5[5(2) -6] -6 is equivalent to (h+h)(2)

Learn more about function: https://brainly.com/question/10439235

#SPJ1

For the functions f(x) = 2x-5 and g(x) = 3x²-x, find (fog)(x) and (gof)(x).

Answers

The fog(x) of the function will be 6x² -2x - 5 and gof(x) of the function will be 12x² + 62x - 80.

What is the domain of a function?

The collection of values that can be plugged into a function's domain is called its parameters. The x values for a function like f(x) are contained in this collection (x). The collection of numbers that the operator assumes is known as its range.

As per the given information in the question,

f(x) = 2x - 5 and,

g(x) = 3x² - x

fog(x) = 2x - 5 and,

gof(x) =  2x - 5

fog(x) = f(g(x))

= f (3x² - x) = 2(3x² - x) -5

= 6x² -2x - 5

gof(x) = g(f(x))

= g (2x - 5) = 3(2x - 5)² + 2x - 5

= 12x² - 75 + 60x + 2x -5

12x² + 62x - 80.

To know more about Domain:

https://brainly.com/question/28135761

#SPJ1


If $8000 is invested at an annual interest rate of 5% and compounded annually, what is the balance after 4 years?

Answers

Answer: 7 years

Step-by-step explanation:  

We make the assumption that 8000 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $10\%=8000$.

Step 4: In the same vein, 100%=8000$.

So divide that by 5% 0.05%

Then multiply it by 5   0.0025%

Then convert it into money  26$

During WW! mortars were fired from trenches 3 feet down The mortars had a velocity of 150 ft/s. Determine how long it will take for the mortar shell to strike its target?

Answers

In 0.02 seconds, the mortar shell will make contact with the target.

How to determine the time it will take the mortar shell to strike the target

The formula for velocity, which is equal to distance / time, is used to calculate how long it will take to hit the target.

In the problem, the distance is 3 feet, and the velocity is given to be 150ft/s

therefore

150 = 3 / time

time = 3 / 150

time = 0.02 seconds

Learn more on velocity at:

https://brainly.com/question/25749514
#SPJ1

Which equation represents a line passing through the point (8, 33) with a slope of 3?

Answers

Answer:

y = 3x + 9

Step-by-step explanation:

y = 3x + b

33 = 3(8) + b

33 = 24 + b

b = 9

y = 3x + 9

Could you please give me brainliest for this? Thank you!

A medical researcher collects health data on many women in each of several small countries. One of the variables
measured for each woman in the study is her weight in pounds. The following list gives the five-number:
summary for the weights of adult women in one of the countries.
Country A:
92, 110, 120, 160, 240

About what percent of Country A women weigh between 110 and 240 pounds? Show your work.
(a) 50%
(b) 65%
(c) 75%
(d) 85%
(e) 95%

Answers

Option (c) 75% of Country A women weigh between 110 and 240 pounds.

What is the five-number summary?

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.

Given, the five-number summary of Country A:

92, 110, 120, 160, 240

Then, we get

Minimum value = 92, First quartile = 110, Median = 120, Third quartile=160,

Maximum value = 240

Between 110 and 240 pounds, data lies from the First quartile to Maximum value which represents 75% of the data.

Hence, Option (c) 75% of Country A women weigh between 110 and 240 pounds.

To learn more about the five-number summary

https://brainly.com/question/17110151

#SPJ1

. Graph the function f(x) = x
^2 + 7x + 10 on the coordinate plane.

Answers

The graph of the function f(x) = x² + 7x + 10 is attached.

What is the general equation of a parabola?

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix. The general equation of a parabola is -

y = a(x - h)² + k

We have the following equation of a quadratic equation representing parabola as -

f(x) = x² + 7x + 10

Refer to the graph of the function f(x) attached. It can be seen that it is a parabola opening upwards.

Therefore, the graph of the function f(x) attached.

To solve more questions on Parabolas, visit the link below -

brainly.com/question/20333425

#SPJ1

Cari is searching online for airline tickets. Two weeks​ ago, the cost to fly from boston to denver was ​$220. Now the cost is ​$295. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

The percent increase with the additional baggage fee for airline would be $125 / $220 x 100% = 56.82%.

What is meant by the term percentage?

A number can be expressed as a fraction of 100 using a percentage. It may be computed by dividing the number by the total and multiplying by 100. It is commonly represented by the sign "%". The percentage of men, for instance, would be 25/100 x 100, or 25%, if there were 100 persons in all.

In a variety of areas, including statistics, finance, and education, percentages are often employed. For instance, in finance, percentage increase in stock prices are used to gauge a market's or company's success. In education, grades are frequently given as percentages to represent class marks.

How to solve?

The increase in the cost of the ticket is $295 - $220 = $75

The percent increase is $75 / $220 x 100% = 34.09%.

If the airline charges an additional $50 baggage fee, the new ticket price would be $295 + $50 = $345.

The increase in the cost of the ticket with the additional baggage fee would be $345 - $220 = $125.

The percent increase with the additional baggage fee would be $125 / $220 x 100% = 56.82%.

To learn more about percentage, visit:

https://brainly.com/question/14979505

#SPJ1

What is the average rate of change of this function on the interval from x = 1 to x = 3? f(x)=10(2)x Enter your answer in the box.

Answers

Answer:

30

Step-by-step explanation:

The way to figure out the average rate of change is to divide the change in f(x) and divide that by the change in x. A formula for this is [tex]\frac{f(x_{1})-f(x_{2})}{x_{1}-x_{2}}[/tex]
1.) By this definition, we need to figure out our x1 and x2. We can say the x1 = 3 and x2 = 1
2.) Next, we plug it into the formula. We will get [tex]\frac{f(3)-f(1)}{3-1}[/tex].

3.) If we simplify, we will get 10(2)^3 - 10*2 divided by 2, which is equal to 10*4 - 10 = 30.

What is the probability of drawing an odd number or a heart
out of a deck of cards?

Answers

Answer:100/10000000000

Step-by-step explanation:qazwsxeedcrfvtgbyhn

Factor completely ^2-7r-18

Answers

You have to fix it I can’t read it

help pls asap The polygon circumscribes a circle. What is the perimeter of the​ polygon?

Answers

Applying the two-tangent theorem, the perimeter of the polygon = 70 cm.

What is the Perimeter of a Polygon?

To find the perimeter of a polygon, sum all the side lengths of the polygon all together.

What is the Two-tangent Theorem?

If two tangent segment of a circle are drawn to meet at a point outside the circle, the two-tangent theorem says they are congruent together, that is, they have equal length.

Applying the two-tangent theorem, the following side lengths that are missing as labelled in the diagram attached below are:

a = 13 cm

b = 9 cm

c = 5 cm

d = 8 cm

Therefore:

Perimeter of the polygon = 13 + a + b + 9 + 5 + c + d + 8

Plug in the values

Perimeter of the polygon = 13 + 13 + 9 + 9 + 5 + 5 + 8 + 8 = 70 cm.

Learn more about the perimeter of polygon on:

https://brainly.com/question/3310006

#SPJ1

Which of the following points lie on a line that passes through the origin with a slope of −25? Select all that apply. Multiple select question. cross out A) (0, 0) cross out B) (1, −25) cross out C) (−2, 5) cross out D) (−1, 25) cross out E) (4, 10) cross out F) (−5, 2)

Answers

The points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

What is the general equation of a straight line?

The general equation of a straight line is : y = mx + c.

[m] is called slope and it tells the unit rate of change in [y] with respect to [x].

[c] is called the [y] - intercept.

We have some points that lie on a line that passes through the origin with a slope of −25.

The equation of a straight line that passes through the origin and has slope of -25 will be -

y = - 25x

The points that will lie on the line will be -

(0, 0) , (1, - 25) , (- 1, 25)

Therefore, the points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ1

PLEASE HELP!
Which translation rule matches the transformation for congruent triangles?

Answers

The translation applied to the triangle is:

T(x, y) → (x +4, y - 5)

Sp the correct option is the first one.

Which is the rule of the translation from GHI to G''H''I''?

To analyze the translation we only need to compare the coordinates of one of the vertices.

Let's see the vertex H.

The coordinates of H are (-4, 1)

The coordinates of H'' are (0, -4)

Then the translation is defined by the difference between these coordinates:

(0, -4) - (-4, -1) = (4, -5)

Then the translation here is:

T(x, y) → (x +4, y - 5)

So the correct option is the first one.

Learn more about translations:

https://brainly.com/question/24850937

#SPJ1

Which rectangle has side lengths of 5 units and 6 units?

Answers

The rectangle that has side lengths of 5 units and 6 units is (b) the rectangle that has a perimeter of 22 units

How to determine the rectangle?

The complete question is added at the end of this solution

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

Side lengths = 5 units and 6 units

These side lengths can be represented as

Length = 5 units

Width = 6 units

The area of a rectangle is calculated as

Area = Length * Width

Substitute the known values in the above equation, so, we have the following representation

Area = 5 units * 6 units

Area = 30 square units

The perimeter of a rectangle is calculated as

Perimeter = 2 * (Length + Width)

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 * (5 units + 6 units)

Perimeter = 22 units

Comparing the above to the options, we have

(b) The rectangle with a perimeter of 22 units

Hence, the true statement is (b)

Read more about rectangles at

https://brainly.com/question/25292087

#SPJ1

Possible question

Which rectangle has side lengths of 5 units and 6 units?

(a) The rectangle with an area of 22 square units

(b) The rectangle with a perimeter of 22 units

(c) The rectangle with a perimeter of 22 square units

(d) The rectangle with an area of 30 units

John's bank account was overdrawn. The status of his account was -107. He did not realize the problem and wrote another check for $43. The bank charged him a $22 fee for being overdrawn.

Answers

Answer: -$155

Step-by-step explanation:

Using this formula

New status=(-Account status-Cheque amount)-Bank charges

Let plug in the formula

New status= (-$112-$22)-$21-

New status=-$134-$21

New status=-$155

Inconclusion The new status of John's account at this point is -$155

Learn more here:

brainly.com/question/13147505

Jenny had 947 marbles.

She gave 515 of these marbles away.

How many marbles does she have left?

Answers

She has 432 marbles left

Answer: 432

Step-by-step explanation:  947- 515 = 432.

My subtracting 515 from 947, the answer becomes 432. You can double check this statement by adding 515 and 432 together.

ASAP PLEASE FOR POINTS
A regular polygon is shown, with one of its angle measures labeled a



If m z=15
z=20
Z=23
Z=41

Answers

Answer:

Step-by-step explanation:

Other Questions
in 2016, your enterprise issued an end-of-life notice for a product. in 2020, an end of service notice was issued for the same product. what does this mean which types of mechanoreceptors allow one to read braille (raised dots that enable a blind person to read text)? Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.Create a proportion using the form = to represent the following word problem.15 is 1% of what number? what is the most likely reason that the bones of a mesosaurus are found on the eastern coast of south america and on the western coast of africa? which of the following is true regarding interferons? they do not protect the cell that secrets them their role is in the synthesis of antiviral proteins they cause muscle aches, chills and fever all of the above are true. if property rights are enforced and contracts in trade are legally respected, it is usually assumed that: A liquid of density 1330 kg/m3 flows steadily through a pipe of varying diameter and height. at location 1 along the pipe, the flow speed is 9.85 m/s and the pipe diameter ????1 is 10.1 cm. at location 2, the pipe diameter ????2 is 17.5 cm. at location 1, the pipe is y=9.15 m higher than it is at location 2. ignoring viscosity, calculate the difference P between the fluid pressure at location 2 and the fluid pressure at location 1. a dna restriction enzyme cuts dna at a specific sequence. if a restriction enzyme that cuts at the dna sequence gaattc were used on the dna strand below, and the resulting fragments were put through electrophoresis, how many bands would appear on the electrophoresis gel? Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially. The growth from 2009 through 2015 can be modeled using the function G (t) = 174 . 1.67^t where t is the number of years singe 2009 and G (t) is measured in millions of smartphones.Use this information and your knowledge of exponential and logistic growth to explore the mathematical concepts in the questions below. How many moles of CuFeS2 areused to produce 16 moles Cu?2CuFeS2 + 502 2Cu + 2FeO + 4SO2?] mol CuFeS2 PLEASE HURRY! I WILL GIVE BRAINLIEST TO THE PERSON WHO GIVES THE RIGHT ANSWER! DO NOT SPAM OR I WILL REPORT! 2300 dollars is placed in an account with an annual interest rate of 5.5%. To the nearest tenth of a year, how long will it take for the account value to reach 4300 dollars? I want to learn about the history of China what is a program music? instrumental music composed purely as music, and not intended to represent or illustrate something else. instrumental music composed in association with a story, event , or an idea when tuning his guitar, a music student notices that the string is not vibrating at the desired frequency of 195 hz, so he tightens the string by 16.4% to get this frequency. at what frequency was the string vibrating when he first started the tuning process? consider the following binomial experiment: a survey shows 53% of households in centercity own a dvd player. in a random sample of 22 households in this city, what is the probability that exactly 17 households own a dvd player? a) 0.0121 b) 0.0124 c) 0.0120 d) 0.0123 e) 0.0126 f) none of the above. What type of plate boundary is illustrated in the image? Joseph has hypothesized that sound travels in waves. If he were following the scientific method, what should he do next? There is a store that is having a 25% sale off of everything.Lin is buying a jacket that costs $40. What is the cost of the jacket after the discount? use the 1st law of thermodynamics to derive a simplified equation for a turbine that explains its performance based on inlet (1) and outlet (2) conditions. select all that apply what are the two major causes of chromosomal rearrangements? multiple select question. one double-strand break a nick in two dna strands a nick in one dna strand aberrant crossing-over two double-strand breaks dna replication errors