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

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Question 43327: Find the product.
(3a+8b)(-4a+7b)

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Question 43363: The period of vibration P for the pendulum varies directly as a square root of the length L. If the period of vibration of 2 sec. when the length is 16 inches, what is the length when L = 1.5625 inches?
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Question 43437: For the set of data below, find the line of best fit.
x -2 -1 0 1 2
y 7 6 3 2 0


a. y = -1.8x + 3.6
b. y = -0.54x + 1.95
c. y = 3.6x - 1.8
d. y = 1.95x - 0.54
e. None of the others

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Question 43439: Use the line of best fit for the set of data below to approximate the value of y when x = 4.
x -2 -1 0 1 2
y 7 6 3 2 0


a. y = -3.6
b. -0.22
c. 10.8
d. -10.8
e. None of the others

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Question 43996: Find the difference quotient for f(x) = 2x^2-3x
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Question 44011: If the intersection of graphs method leads to the same line explain what this means in terms of the solution of the original equation.
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Question 43945: find an equation of the perpendicular bisector of line segment AB: A(-9,-3),
B(1,-7)

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Question 44293: what is the equation of the line that contains the points with (x,y) coordinates (-3,7) and (5,-1)?
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Question 44415: D=2M
M=B-4
B=D-17
What is the value of B?

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Question 44691: Im sorry, i dont know what kind of algebra this is, but i am just learning that f(x)=y. Now we've started solving problems like f(g(2)) when f(x)=3x and g(x)= x-3. Please help me if you can!
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Question 45541: In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers perday for each $.25 increase in fare.
Given the description above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph you have drawn, and also the domain and range of the entire function excluding unrealistic values.

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Question 45785: it is approximately 480 miles from Los Angeles california to San Francisco, California. Allowing for various road conditions, a driver can average approximately 60 miles per hour.
a)Write a linear function that expresses the distance traveled ,d, as a function of time,t
Answer:

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Question 45866: the element europium (EU) exists in nature as two isotopes: (151 EU)with a mass of 150.9196 amu & (153 EU) with a mass of 152.9209 amu. The average mass of EU is 151.96 How do you calculate the relative abundance of the two EU isotopes? X% times 150.9196 (plus) Y% times 152.9209 equals = 151.96. what are the X and Y percentages? And what is the formula to identify the unknowns X and Y?
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Question 45898: Let A be a 2 x 3 matrix and B be a 2 x 3 matrix.
a) Is it possible to add A and B?
b) Is it possible to do the multiplication AB?
c) Is it possible to do the multiplication BA?

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Question 45897: Does the shaded region of the graph of the system of equations x < 3, x + 7 < 4 include the point (2, 3)? How do you know?

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Question 45896: Does the shaded region of the graph of the system of equations x < 3, x + 7 < 4 include the point (2, 3)? How do you know?

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Question 46890: What are the x and y-intercepts of 3x+2y=21?
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Question 46994: 1. What is the middle term in the expansion of (x-1/6)6th power?
I tried puting both sides of the equation to the 6th power but am nowhere close to the correct answer.

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Question 46996: 1. When 3+4i / 2+i is expressed in the for a+bi, what is the value of a?
I don't understand why the answer is 2.
2. (i+1)(3-i)+(2i-1)
I tried multiplying the first two sets and adding the like terms with the third set but I'm not coming up with the correct answer.

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Question 47159: The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3.
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Question 47158: A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem,c^2=a^2+b^2 , where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 6 feet and 8 feet.
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Question 47158: A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem,c^2=a^2+b^2 , where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 6 feet and 8 feet.
Click here to see answer by Nate(3500) About Me 

Question 47157: For the equation , perform the following:
a) Solve for all values of x that satisfies the equation.

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Question 47518: FInd k in the expontential function N(t)=N(o)e, given that N(0)=1 and N(3)=7
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Question 47515: Determine the horizontal asymptote of the grahp of B(t) = 1200 divided by 1+34e^-0.125t


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Question 48025: dear tutors, plz help me find the value of a and b so that x/a + y/b =1 passes through (3,-2) and (9,2).
I've already tried answering it but i dont know how..
i solved the value of x and y..

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Question 48298: r^2-4/4r+8
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Question 48297: 6-4i/5+2i
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Question 48296: standard form
-1/-1-2i

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Question 48300: describe the inequatlity notation.
This equation wants you to use the inequality notation to desribe the set
1)y is nonnegative.
2) y is no more than 25

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Question 48295: 2/5-y - 8/y-5
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Question 48531: What is the equation of the line that contains the points with (x,y) coordinates (–3,7) and (5,–1) ?
A. y = 3x – 2
B. y = x + 10
C. y = –x + 8
D. y = –x +
E. y = –x + 4

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Question 48913: through (4,-1)and (-2,-3)
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Question 48974: Simplify +3+%2A+sqrt+%2855%29+sqrt+%2815%29%2F+sqrt+%2863%29
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Question 48970: Which equation in point-slope form passes through the points (-2,6) and (-3,1)?
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Question 48967: What is the standard form of the equation that passes through (3,0) and (6,-8)?
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Question 49102: consitstent and inconsistnt systems
1.find the slope and y intercept of each line
give the number of solutions
x+y=5
y=2x+2
slope 1=0 and b 1=5
slope 2=2 and b 2=2
is that correct or please help i know im doing something wrong can the slope be a -1 for the first or would -x be 0

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Question 49589: Please help me solve this equation: 4x+8y=17 Solve for Y. Please help me as quick as possible Thank you
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Question 49874: x 0 1 2 3 4
f(x) 4 2 1 0 1
a) find the missing values f(0)=? and f(?)=0
b) evaluate f(0)-f(3)

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Question 49873: if you have a piecewise function graph with two open dots on one number, is this a function? how do you state the domain and range?

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Question 49995: 4n-(n-1)=7
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Question 50109: They want us to identify the slope of m, and the y-intercept, b, for each line. Then graph . I looked at the examples put still can't figure it out the same with example -2x=8+4y , just can't find the way to solve the problem
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Question 50335: I can not figure out how to exactly put this problem into an Linear equation, basically because i don't know where the numbers fit into the equation. So here is the problem.
The number of married couples in the United States in 1995 was 53.9 million. Im 2000, the number of married couples grew to 55.3 million. Write a linear equation that gives the number of married couples in terms of the year. Let x represent the year with x=5 corresponding to 1995.

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Question 50335: I can not figure out how to exactly put this problem into an Linear equation, basically because i don't know where the numbers fit into the equation. So here is the problem.
The number of married couples in the United States in 1995 was 53.9 million. Im 2000, the number of married couples grew to 55.3 million. Write a linear equation that gives the number of married couples in terms of the year. Let x represent the year with x=5 corresponding to 1995.

Click here to see answer by tutorcecilia(2152) About Me 

Question 50450: Passes through (7, 6) and (10, 15)
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510