Questions on Algebra: Linear Algebra (NOT Linear Equations) answered by real tutors!

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Question 1186654: Find the linear function formula f(X)= mx + b for the function described:
A) f(x)=10 and m=-2/3
B) f(1)=5 and m=3
C)f(2)=6 and f(4)=0
D)f(3)=4 and f(6)=-3
Click here to see answer by josgarithmetic(39616)

Question 1186749: $12,968 is invested, part at 7% and the rest at the Interest earned from the amount invested at 7 6% by how much is invested at each rate? Round to two decimal places if necessary.) exceeds the Interest earned from the amount invested at
Click here to see answer by ikleyn(52775)

Question 1186866: Your teacher gave a test and the scores from 40 to 60 your teacher scaled the test in order to make the scores range 60 to 90 let x represent on original scores and y represent a coverted score

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Question 1187121: Given that S=7a+b+7c and also S=6a+8b+6c, where 51
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Question 1187487: solve using
elimination x²+y²=4 , x²-y=4.
Click here to see answer by Alan3354(69443)

Question 1187799: Find the amount of money accumulated if you invested $25,000 at 4.3% interest for 8 years compounded continuously .
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Question 1188377: 3f+4h=1
5f-4h=7
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Question 1188808: (5,5) and is parallel to the y- axis .
What is the equation of the line ?
What is the slope of the line
Ag6119299@gmail.com
Click here to see answer by ikleyn(52775)

Question 1189172: (a) Let f : (-\infty,0) \cup (0,\infty) \to \mathbb{R} be defined by
f(x) = x - \frac{1}{x}.Show that f has no inverse function.
(b) Let g : (0,\infty) \to \mathbb{R} be defined by
g(x) = x - \frac{1}{x}. Show that g has an inverse function.
How can you show this without graphing.
Thank you in advance
Click here to see answer by math_tutor2020(3816)

Question 1189337: . Mr. Dodson is having the exterior of his
house painted. The painters charge
$35 per hour plus the cost of materials.
After 20 hours of work, Mr. Dodson
owes the painters $840. Assume the
relationship is linear. Find and
interpret the rate of change and the
initial value
Click here to see answer by Theo(13342)

Question 1189867: The Royal Fruit Company produces two types of fruit drinks. The first type is 80% pure fruit juice, and the second type is 100% pure fruit juice. The company is
attempting to produce a fruit drink that contains 95% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 220
pints of a mixture that is 95% pure fruit juice?
First drink ? Pints
Second drink ? Pints ''.

Click here to see answer by ankor@dixie-net.com(22740)

Question 1189871: A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand contains 13% vinegar. The chef
wants to make 370 milliliters of a dressing that is 12% vinegar. How much of each brand should she use?
First brand ? Milliliters
Second brand ? milliliters
Click here to see answer by Solver92311(821)

Question 1189870: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40% salt and Solution B is 70%
salt. She wants to obtain 60 ounces of a mixture that is 60% salt. How many ounces of each solution should she use?
Click here to see answer by josgarithmetic(39616)

Question 1189919: A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 85% pure antifreeze. The company wants to obtain 255 gallons of a mixture that contains 30% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Click here to see answer by josgarithmetic(39616)

Question 1190102: A town’s population has been increasing at a constant rate. In 2010 the population was 46,020. By 2012 the population had increased to 52,070 people. Assume this trend continues and type your answer without any commas.

The population in 2016 will be
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Question 1190164: Find the area of a triangle bounded by the y-axis, the line f(x)=9-\frac{6}{7}x, and the line perpendicular to f(x) that passes through the origin. Type your answer rounded to the nearest hundredth.

The area is Answersquare units.
Click here to see answer by Alan3354(69443)

Question 1190104: In 2003, a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly. Answer the questions below and to earn full credit show all work/calculations/thinking.
How much did the population grow between the year 2003 and 2007?
How long did it take the population to grow from 1431 people to 2134 people?
What is the average population growth per year?
What was the population in the year 2000?
Find an equation for the population, P, of the town t years after 2000.
Using your equation, predict the population of the town in 2014.
Click here to see answer by Boreal(15235)

Question 1190667: For which value of 𝑎 does each of the following systems have no solution, unique
solution and infinite solutions? Use Gaussian Elimination.
𝑥 − 𝑦 + 𝑧 = 1
𝑥 + 3𝑦 + 𝑎𝑧 = 2
2𝑥 + 𝑎𝑦 + 3𝑧 = 3
Click here to see answer by math_tutor2020(3816)

Question 1190833: A wallet contains the same number of pennies, nickels, and dimes. The coins total $1.44. How many of each type of coin does the wallet contain?
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Question 1191478: {𝑥−2𝑦+3𝑧=9−𝑥+3𝑦−𝑧=−62𝑥−5𝑦+5𝑧=1 elimination
Click here to see answer by josgarithmetic(39616)

Question 1191478: {𝑥−2𝑦+3𝑧=9−𝑥+3𝑦−𝑧=−62𝑥−5𝑦+5𝑧=1 elimination
Click here to see answer by ankor@dixie-net.com(22740)

Question 1191604: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 6 hours of burning, a
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Question 1191662: Suppose a, b, c and d are constants such that a is not a zero and the system below is consistent for all possible values of f and g. What can you say about the numbers a,b,c and d? Justify your answer.
ax1 + bx2 = f
cx1 + dx2 = g
I am new to this work, so we have not done as many exercises yet, but we are writing a quiz soon, and will appreciate if you can help me solve this question.
Click here to see answer by MathLover1(20849)

Question 1191884: A chemist has three different acid solutions. The first acid solution contains 20% acid, the second contains 35% and the third contains 55%. They want to use all three solutions to obtain a mixture of 216 liters containing 30% acid, using 3 times as much of the 55% solution as the 35% solution. How many liters of each solution should be used?
Click here to see answer by josgarithmetic(39616)

Question 1191883: A movie theater has a seating capacity of 197. The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. There are half as many adults as there are children. If the total ticket sales was $ 1430, How many children, students, and adults attended?
Click here to see answer by ikleyn(52775)

Question 1191881: Maricopa's Success scholarship fund receives a gift of $ 85000. The money is invested in stocks, bonds, and CDs. CDs pay 5.25 % interest, bonds pay 2.1 % interest, and stocks pay 8.4 % interest. Maricopa Success invests $ 25000 more in bonds than in CDs. If the annual income from the investments is $ 4147.5 , how much was invested in each account?
Click here to see answer by Boreal(15235)

Question 1194354: Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
(1, 1) and (3, 4)
Click here to see answer by josgarithmetic(39616)

Question 1194382: Given the following quadratic form involving three variables,
Q\:\left(X_{1,\:X_2\:,\:X_3\:}\right)\:=\:5X^2_1\:+8X_1X_3\:+3X^2_2\:-6X_2X_3+10X^2_3
a. Derive the symmetric matrix associated with Q
b. Determine the definiteness of the matrix you derived in a
Click here to see answer by ikleyn(52775)

Question 1194636: How can i demonstrate this property?
"Prove that if two elements are conjugated then they have the same order. is it true vice versa?"

Click here to see answer by ikleyn(52775)

Question 1194925: Q:1- What is the rank of unit matrix of order n?
Q:2- If S is linear and onto transformation from R^3 to R^3 while T is linear and one-one transformation from R^3 to R^3 then S and T preserves what?
Q:3- If T is kernel from R^3 to R^3 then T(x, y, z) = (x, y, 0) is plane or space? Justify your answer.
Note: Here R^3 means three dimension space.
Click here to see answer by ikleyn(52775)

Question 1195865: Answer each of the following as True or False justifying your answers:
If S and K are n×n matrices such that S is symmetric and K is skew symmetric, then |S+K|=|S-K|. If |■(a&a&a-1&c@a&a&a-1&b@a&a&a+1&b@a&a+1&b&c)|=0, then a=b=c=0. If A,B and C are non-singular n×n matrices such that AB=C, BC=A and CA=B, then |ABC|=1. If A and B are 3×3 matrices, then AB-AB^T is a non-singular matrix. The vector U=(2,-1,-1) in R^3 is a linear combination of the vectors V_1=(1,2,7),V_2=(2,5,17) and V_3=(-1,2,5).
Click here to see answer by ikleyn(52775)

Question 1195987: Kimani and mwaura live 40km apart.one day kimani left his house at 10:30am and cycled towards mwaura's house at an average speed of 15km/hr.Mwaura left his house at 12:00noon on the same day and cycled towards kimani's houseat an average speed of 25km/hr.determine the distance from kimani's house when the two met

Click here to see answer by math_helper(2461)

Question 1196075: Alba is creating a rectangular garden in her back yard. The length of the garden is
20
feet. The perimeter of the garden must be at least
80
feet and no more than
120
feet.

Click here to see answer by josgarithmetic(39616)

Question 1196110: How do you solve the system of three linear equations using the elimination method which theses equations
2x-4y+5z=-33
4x-y=-5
-2x+2y-3z=19
Click here to see answer by Edwin McCravy(20054)

Question 1196171: How do you solve this system of three linear equations using elimination method
3x+2y+z=1
x+y+z=0
5x+3y-2z=-4
Click here to see answer by math_tutor2020(3816)

Question 1196171: How do you solve this system of three linear equations using elimination method
3x+2y+z=1
x+y+z=0
5x+3y-2z=-4
Click here to see answer by MathLover1(20849)

Question 1196213: Can anyone please tell me how to do this problem with 3 linear equations using substitution method
Zoe is helping her grandmother with her flower garden.She decides to add some clematis vines,rose bushes,and peony plants to her garden.The price of clematis vine is $3 more than twice a peony plant.The price of a rose bush is $5 more than a clematis vine.She decided to buy 3 clematis plants,4 rose bushes,and 2 peony plants for a total of $233.How much does each plant cost?
Click here to see answer by ikleyn(52775)

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