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

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Question 1011487: 5(2x + 4) = 50 (Given)
10x + 20 = 50 (Distributive Property)
10x = 30 (?)
x = 3 (Division Property)


Fill in the missing reason for the argument shown.




A) multiplication

B) division property

C) transitive property

D) subtraction property

Click here to see answer by stanbon(75887) About Me 

Question 1011808: Convert linear distance from a fraction to a decimal 57' - 11 7/16" = 57.95'
Click here to see answer by ikleyn(52776) About Me 

Question 1011824: A member got 64 percent of votes in an election and he won by 144 votes. How many total votes are polled
Click here to see answer by Cromlix(4381) About Me 

Question 1011829: "The lines l1 and l2 have equations r=2i+k+s(i-j+2k) and r=3i+8j+t(i+2j-3k) respectively, where s and t are parameters.
The plane p contains l1 and has no common point with l2. Find an equation of p in scalar product form."
I know that if p has no common point with l2, it means l2 is parallel to p. I have read the solution, and it says we need to cross product (i-j+2k) x (i+2j-3k). But how can we cross product (i-j+2k) x (i+2j-3k) ? Doesn't two parallel vector cannot be crossed ? I need your help and further explanation please.
Thank you very much.

Click here to see answer by mathmate(429) About Me 

Question 1012106: A lady purchased one piece of clothes for Rs 1600.had the price rate of cloths been rs 40 per meter less, then she would purchased 2meter clothes more in the same amount. Find the measure of clothe and price per meter
Click here to see answer by josmiceli(19441) About Me 

Question 1012105: A lady purchased one piece of clothes for Rs 1600.had the price rate of cloths been rs 40 per meter less, then she would purchased 2meter clothes more in the same amount. Find the measure of clothe and price per meter
Click here to see answer by Theo(13342) About Me 
Question 1012105: A lady purchased one piece of clothes for Rs 1600.had the price rate of cloths been rs 40 per meter less, then she would purchased 2meter clothes more in the same amount. Find the measure of clothe and price per meter
Click here to see answer by MathTherapy(10551) About Me 

Question 1012368: functions f and g are defined as follows:

f(x)=x^5 and g(x()= 1/x+1

Evaluate f(2), f(-1), g(0).

write down f(g(x)) and g(f(x)) as functions of x

Click here to see answer by Theo(13342) About Me 

Question 1012466: What is 10 less then 198?
Click here to see answer by ikleyn(52776) About Me 

Question 1012744: There are a total of 23 students and adults going to the zoo. Adult tickets cost $7.25 and student tickets cost $5.50 to attend the zoo. The total cost for this group would be $137.
Requirements:
Write two equations and put them into a matrix, then solve by using determinants.
What is the system determinant, x determinant, and y determinant?
When writing your equations, let x = number of adult tickets and y = number of student tickets.
How many students went? How many adults went?

Click here to see answer by addingup(3677) About Me 

Question 1012826: y=-3x
y=x-8

Click here to see answer by macston(5194) About Me 
Question 1012826: y=-3x
y=x-8

Click here to see answer by ikleyn(52776) About Me 

Question 1012791: Find sin 60 degrees without using a calculator by using ratios in a reference triangle.
Click here to see answer by ikleyn(52776) About Me 
Question 1012791: Find sin 60 degrees without using a calculator by using ratios in a reference triangle.
Click here to see answer by MathTherapy(10551) About Me 

Question 1013674: How would you find the answer to z over 20 = -1
Click here to see answer by MathLover1(20849) About Me 

Question 1014052: What is the answer for 3.5x×2y
Click here to see answer by fractalier(6550) About Me 

Question 1014473: x^3-2x^2+3
how can i factor this

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Question 1014434: A new parking lot has spaces for 450 cars. The ratio for full size cars to compact cars is 11:4. How many spaces are for full size cars? How many spaces are for compact cars?
Click here to see answer by ikleyn(52776) About Me 

Question 1014589: use the properties of logarithms to simplify the expression log20 209
Click here to see answer by stanbon(75887) About Me 

Question 1014969: I am struggling with these equations. Please help! :)
x/x^2-1 - x+3/x^2-x = -3/x^2+x
Thank you in advance

Click here to see answer by LinnW(1048) About Me 

Question 1015846: 1+sqrt(3^x)=2^x
Click here to see answer by Fombitz(32388) About Me 

Question 1016099: Eliminate
{6X-2y =11
{-9X+3y=16

Click here to see answer by ikleyn(52776) About Me 
Question 1016099: Eliminate
{6X-2y =11
{-9X+3y=16

Click here to see answer by lwsshak3(11628) About Me 

Question 1016110: 4x-3y=19
6x+3y=21

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Question 1016110: 4x-3y=19
6x+3y=21

Click here to see answer by skippo(9) About Me 

Question 1016874: Let u and v be the vectors of length 3 and 5, respectively. Suppose u . v = 8. Find (-3u+4v) . (2u+5v).
Click here to see answer by robertb(5830) About Me 

Question 1016944: Which one is an ordered pair
(-3,5)
(2,4,0)
(0,6)
1,3

Click here to see answer by justasking(11) About Me 

Question 1017798: evaluate the limit using the squeeze therom
lim x->0+ sqrtx e^sin(pi/x)

Click here to see answer by ikleyn(52776) About Me 

Question 1017952: Write a function g whose graph represents the indicated transformation of the graph of f.
f(x)=x+1; translation 4 units right

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Question 1017961: Write a function g whose graph represents the indicated transformation of the graph of f.
f(x)= | 4x | -6 ; reflection in the x-axis

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Question 1017899: Find the values of a and b that will make the function continuous every where. Justify.
f(x)=
x^2+11x+10/x+1, x<-1
e^2ax , -1<= x <= 1
bx^2-ax, x>1
thank you in advance!

Click here to see answer by KMST(5328) About Me 

Question 1018131: Please help me solve this problem: What is the number?.Four times the sum of -3 and a number yields the difference between 15 and 5 times the number.
Click here to see answer by solver91311(24713) About Me 

Question 1018373: On one day Fred's Sport's World sold 9 Pittsburgh Steelers jerseys and 3 Cleveland Browns jerseys for a total of $899.40. The next day they sold 12 Steelers jerseys and only 2 browns jerseys for a total of $1139.30. How much is the Steelers jersey and how much is the Browns jersey?
Click here to see answer by Cromlix(4381) About Me 

Question 1018566: 4c-c=27
Click here to see answer by ikleyn(52776) About Me 

Question 1019049: Find a particular solution of the differential equation: ((x^2)-4x-5)*(y')=(6), y(2)=0
The integral of this function is: y=ln|x-5|-ln|x+1|+c ? I don't know what to do next. Thank you!

Click here to see answer by Fombitz(32388) About Me 

Question 1019647: This diophantine equation seems impossible for me..
"A dealer spent $10000 buying cattle, some at $410 each and the rest at $530 each. How many of each sort did she buy?"
I made a diophantine equation for this..
+410x%2B530y=10000+
simplifies to:
+41x%2B53x=1000+
i seem to have most trouble when the c is the biggest number in the equation in ax+by=c

I tried using euclid's algorithm but it doesnt seem to work for me, i think im using it wrong..
Any help to the question would be helpful.

Click here to see answer by robertb(5830) About Me 
Question 1019647: This diophantine equation seems impossible for me..
"A dealer spent $10000 buying cattle, some at $410 each and the rest at $530 each. How many of each sort did she buy?"
I made a diophantine equation for this..
+410x%2B530y=10000+
simplifies to:
+41x%2B53x=1000+
i seem to have most trouble when the c is the biggest number in the equation in ax+by=c

I tried using euclid's algorithm but it doesnt seem to work for me, i think im using it wrong..
Any help to the question would be helpful.

Click here to see answer by mathmate(429) About Me 

Question 1019656: Solving linear diophantine equation where c is greatly larger. (ax+by=c)
3x + 4y = 478
This seems pretty impossible to find the x and y using euclids algorithm..
Is it possible?

Click here to see answer by mathmate(429) About Me 

Question 1019903: Hi I need help with these four problems that I didn't seem to understand in my homework.
-14x = -632 - 26y
y = (7/13)x - 316/13
A. Parallel
B. Perpendicular
C. Not Parallel and Not Perpendicular
D. Vertical
E. Horizontal
F. Horizontal Couch Potato


17. 5x + 4y = -60
y = (-4/5)x - (3/5)
A. Vertical
B. Vertigo
C. Vercengeterix
D. Perpendicular
E. Parallel
F. Not Parallel and Not Perpendicular
x + 6y = 196
689 = (6201/230)y + (4823/460)x
A. Vertical
B. Horizontal
C. Horizon
D. Not Parallel and Not Perpendicular
E. Parallel
F. Perpendicular


19. -2y = -380 + 14x
y = -7x + 190
A. Horror
B. Horizontal
C. Horizon
D. Perpendicular
E. Parallel
F. Not Parallel and Not Perpendicular


Click here to see answer by ewatrrr(24785) About Me 
Question 1019903: Hi I need help with these four problems that I didn't seem to understand in my homework.
-14x = -632 - 26y
y = (7/13)x - 316/13
A. Parallel
B. Perpendicular
C. Not Parallel and Not Perpendicular
D. Vertical
E. Horizontal
F. Horizontal Couch Potato


17. 5x + 4y = -60
y = (-4/5)x - (3/5)
A. Vertical
B. Vertigo
C. Vercengeterix
D. Perpendicular
E. Parallel
F. Not Parallel and Not Perpendicular
x + 6y = 196
689 = (6201/230)y + (4823/460)x
A. Vertical
B. Horizontal
C. Horizon
D. Not Parallel and Not Perpendicular
E. Parallel
F. Perpendicular


19. -2y = -380 + 14x
y = -7x + 190
A. Horror
B. Horizontal
C. Horizon
D. Perpendicular
E. Parallel
F. Not Parallel and Not Perpendicular


Click here to see answer by Boreal(15235) About Me 

Question 1020045: Write an equation of the line that contains the given point and has the given slope.
(-2, -2), slope = -5
A. y = 5x - 12
B. y = -2x -10
C. y = -12x - 5
D. y = -4x - 10
E. y = 4x - 12
F. y = -5 x - 12
Select the equation of the line that passes through the given two points. Note that the correct equation may not be in slope-intercept form (solve for y to get the slope-intercept form).
(-6,8),(10,-56)
A. y = -4 - 16x
B. y = - 16
C. 4x + y = -16
D. 2x + y = 16
E. y = -6 - 8x
F. y = -16 + 4x
State whether the lines are parallel, perpendicular, or neither.
5x + 4y = -60
y = (-4/5)x - (3/5)
A. Vertical
B. Vertigo
C. Vercengeterix
D. Perpendicular
E. Parallel
F. Not Parallel and Not Perpendicular

x + 6y = 196
689 = (6201/230)y + (4823/460)x
A. Vertical
B. Horizontal
C. Horizon
D. Not Parallel and Not Perpendicular
E. Parallel
F. Perpendicular

Click here to see answer by solver91311(24713) About Me 

Question 1020098: Find the distance between the point (-3,1) and the line y = -x+4.
I know first I must find the equation of the perpendicular line, and I get y = -x-2. Then, I must find the point of intersection. In order to do this I know I must set both equations equal to one another as shown here: -x+4 = -x-2. This is where I get stuck. Could you please help me?

Click here to see answer by Cromlix(4381) About Me 
Question 1020098: Find the distance between the point (-3,1) and the line y = -x+4.
I know first I must find the equation of the perpendicular line, and I get y = -x-2. Then, I must find the point of intersection. In order to do this I know I must set both equations equal to one another as shown here: -x+4 = -x-2. This is where I get stuck. Could you please help me?

Click here to see answer by solver91311(24713) About Me 

Question 1020827: Let P(x) = x^3-3x^2+6. If P(x)=q(x)(x+2)+r(x). What is the value of r(x)
Click here to see answer by ikleyn(52776) About Me 

Question 1020849: what value of x does y= 4sin(x-(pie/4)) intersect the line at y=4
Click here to see answer by stanbon(75887) About Me 

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