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Question 365394: Bill & Jose's Discount Cinema sold twice as many adults' tickets for $15.00 each and children's tickets for $10.00 each. Last Tuesday, a total of $1600.00 was collected from movie watchers. How many of each type of ticket were sold? (Let x represent the number of adults' tickets and y represent the number of children's tickets.)

Click here to see answer by mananth(12270)

Question 365367: Factor completely
8x^5-56x^4+32x^3
Click here to see answer by Fombitz(13828)

Question 365410: Five years ago sister was four times older than Fido. Now she is only three times as old. How is old is Fido?
Click here to see answer by mananth(12270)

Question 365326: what are the different ways of finding the roots of a quadratic equation?
Click here to see answer by Edwin McCravy(8880)

Question 365539: Please solve the simultaneous equations
y^2+xy=2
x+y/2=3/2

Thank you
Click here to see answer by ewatrrr(10682)

Question 365553: Investigate to see if (2x+5) is a factor of
2x^2-3x^2-12x+20=0
Please solve the equation
Click here to see answer by stanbon(57224)

Question 365541: Please solve:
(x^2-ax+b)is a factor of x^3+3ax^2+3bx+c
Show that b=-2a^2

c=-8a^3

Thank you

Click here to see answer by CharlesG2(828)

Question 365543: Please use the factor theorem to solve the following
2x^3+7x^2+2x-3

Thank you
Click here to see answer by Alan3354(30968)

Question 365523: What is the vertex of f(x)=x^2-4, and how did you figure it out?
Thank you so much for your help!
Click here to see answer by scott8148(6628)

Question 365832: (x-19)2=20
Click here to see answer by Fombitz(13828)

Question 365882: The perimiter of the quadrilateral is 35 centimeters. Find the length of each side.
side 1 = x+2
side 2 = x+7
side 3 = x squared - 2x
side 4 = 3x-2
Click here to see answer by robertb(4012)

Question 365901: Two cars leave an intersection. One car travels north; the other travels east.
When the car traveling north had gone 24 miles, the distance between the cars
was four miles more than three times the distance traveled by the car heading
east. Find the distance between the cars at that time.
Click here to see answer by mananth(12270)

Question 365958: For what value(s) of the parameter m does the equation -2x^2 + mx = 2 have one solution only?
A) 0
B) -2 , 2
C) -1 , 1
D) 16
E) -4 , 4
Click here to see answer by mananth(12270)

Question 365991: Please solve the equation
y^2-6y+8=0

Hence find the roots of the equation
(x+1/x)^2 -6(x+1/x)+8=0 x is the denominator
This is a tough one. I tried to do it but it's the first time I've seen this.
Click here to see answer by amoresroy(333)

Question 366020: How can the following problem be solved.
5*6 + 2*4 - 3+2 (8-4). This is my first time taking algebra.
Click here to see answer by Alan3354(30968)

Question 366131: How is the mean of two quadratic solutions related to the graph of a quadratic equation?
So how would i write this out in words people can understand?
Click here to see answer by Fombitz(13828)

Question 366132: How would i write a function of the form y=ax^2+bx whose graph contains the points (1,6) and (3,6)?
Click here to see answer by solver91311(16868)

Question 366132: How would i write a function of the form y=ax^2+bx whose graph contains the points (1,6) and (3,6)?
Click here to see answer by Fombitz(13828)

Question 366138: a) Larry drove 195 miles in 1 hour more time than it took Terrell to drive 134 miles. Terrell drove at an average rate of 2 miles per hour faster than Larry did. How fast did each one travel?
Click here to see answer by stanbon(57224)

Question 366142: Write a function of the form y=ax²+bx whose graph contains the points (1,6) and (3,6).
What steps would I got through to get this answer? Would I have to graph the answer? And would i just use (1,6) as y and x, and (3,6) as a and b?
Click here to see answer by Fombitz(13828)

Question 366152: I need to write a quadratic function in standard form for a parabola shown. It gives me three different point on the parabola which are (2,7), (3,2), and (5,4). What is the andswer and how am I supposed to get the answer? And the parabola opens up.
Click here to see answer by Fombitz(13828)

Question 366179: Please form the quadratic equation whose roots are 1/2 and 6
Click here to see answer by ankor@dixie-net.com(15625)

Question 366220: How to draw quadratic functions?
Like where to plot the points on a graph.
Example: y= (x-3)2
Click here to see answer by stanbon(57224)

Question 366304: Find all numbers for which the rational expression is undefined.
q^3-9q/q^2-64
Click here to see answer by stanbon(57224)

Question 366297: I need help with this one .
mulitiply
(a+g)(a^2-ag+g^2)=
Click here to see answer by robertb(4012)

Question 366324: solve for x
4x(x-1)-5x(x)=3
Click here to see answer by robertb(4012)

Question 366330: In a right triangle , find the length of the side not given.
b=1,c=sqrt26
The length of the third side is

is it 5?
Click here to see answer by mananth(12270)

Question 366375: 11(x-2) + (x-5) = (x+2)(x-6) please show all work.
Click here to see answer by jsmallt9(3296)

Question 366515: Given f(x)=x^3+6x^2+11x+6 Show that f(-2)=0 and find the three factors of f(x)
Click here to see answer by CharlesG2(828)

Question 366515: Given f(x)=x^3+6x^2+11x+6 Show that f(-2)=0 and find the three factors of f(x)
Click here to see answer by ewatrrr(10682)

Question 366485: A parabola with an equation of the form y = ax^2 + bx + c has the point (-2, 1) as its vertex. If (-4, 5) also lies on the parabola, which of the following is
another point on this parabola?
(A) (-4, 3) (B) (-1, 3) (C) (0, 5) (D) (2, 1) (E) (4, 5)
Click here to see answer by Fombitz(13828)

Question 366517: If the equations x^3-(a+2)x+2b=0 and 2x^3+ax^2-4x-b=0 have a common factor (x+3), find the values of a and b and find a second common factor.
Click here to see answer by CharlesG2(828)

Question 366543: 2t + 5t = 3(t - 4)-5
3t - 9 = 3t - 12 -5+9
3t - 9 = 3t - 12 -5 + 9
3t = 3t - 17 +9
Click here to see answer by rfer(12646)

Question 366544: Use factor theorem to solve 2x^3+7x^2+2x-3

Click here to see answer by ewatrrr(10682)

Question 366558: solve for x
2(x-4)-(x+2)=(x+2)(x-4)
Click here to see answer by Fombitz(13828)

Question 366556: Evening All,
Right its been a while since i have attempted maths, and have just gone back to further ed. I have attempted the following questions, which im sure should be simple, but of course like anything its just getting back into things after a number of years. i have listed the questions below, and my answers if anybody will take the time to have a quick look and correct me where neccessary i would appreciate this.
1)Find dy/dx by differentiating with respect to x the following expressions.
a) y=x^3-6x^2+9x-1 = 3x^2-12x+8
b) y=1/2x -sqrtx = 1/2-1/2x^-1/2
c) y=e^x-e^-x = e^x+e^-x
d) y=25cosx--sinx = -25sinx-cosx
e) y= 3sinhx-4coshx = 3hsinhx+4hsinhx
f) y= (x^2+1) sinhx = 1
2 Use product rule to obtain dy/dx for the following
a) y=x^2e^x = 2x(e^x)+x^2(e^x)
b) y= xtanx = 1(tanx)+x(sec^2x)
c) y= x^4ln(x)= 4x^3(ln(x))+x^4(1/x)
d) y= x^2sinx = 2x(sinx)+x^2(cosx)
e) y= e^-xcosx = -e^-x(cos x)+ e^-x (-sinx)
f) y=(x^2+1)sinhx = (2x +1) (sinhx)+(x^2+1)(cosh x)
Finally, use the quotient rule to differentiate with respect to x, simplifying as far as possible.
a) y= sinx/1+e^-x = 1+e^-x(cosx)-(1-e^x)sinx/(1+e^-x)^2
b) y= lnx/1+x^2 = 1+x^2(1/x)-1+2x(ln x)/(1+x^2)^2
Really this would be appreciated thank you
Click here to see answer by Alan3354(30968)

Question 366198: Evening All, Right its been a while since i have attempted maths, and have just gone back to further ed. I have attempted the following questions, which im sure should be simple, but of course like anything its just getting back into things after a number of years. i have listed the questions below, and my answers if anybody will take the time to have a quick look and correct me where neccessary i would appreciate this.
1)Find dy/dx by differentiating with respect to x the following expressions.
a) y=x^3-6x^2+9x-1 = 3x^2-12x+8
b) y=1/2x -sqrtx = 1/2-1/2x^-1/2
c) y=e^x-e^-x = e^x+e^-x
d) y=25cosx--sinx = -25sinx-cosx
e) y= 3sinhx-4coshx = 3hsinhx+4hsinhx
f) y= (x^2+1) sinhx = 1
2 Use product rule to obtain dy/dx for the following
a) y=x^2e^x = 2x(e^x)+x^2(e^x)
b) y= xtanx = 1(tanx)+x(sec^2x)
c) y= x^4ln(x)= 4x^3(ln(x))+x^4(1/x)
d) y= x^2sinx = 2x(sinx)+x^2(cosx)
e) y= e^-xcosx = -e^-x(cos x)+ e^-x (-sinx)
f) y=(x^2+1)sinhx = (2x +1) (sinhx)+(x^2+1)(cosh x)
Finally, use the quotient rule to differentiate with respect to x, simplifying as far as possible.
a) y= sinx/1+e^-x = 1+e^-x(cpsx)-(1-e^x)sinx/(1+e^-x)^2
b) y= lnx/1+x^2 = 1+x^2(1/x)-1+2x(ln x)/(1+x^2)^2
Really this would be appreciated thank you
Click here to see answer by user_dude2008(1861)

Question 366565: If x=2 to the power y write 2 to the power 2y and 2 to the 2y+1 in terms of x and
solve the equation 2 to the 2y+1 -5(2 to the y)+2=0
Click here to see answer by amoresroy(333)

Question 366565: If x=2 to the power y write 2 to the power 2y and 2 to the 2y+1 in terms of x and
solve the equation 2 to the 2y+1 -5(2 to the y)+2=0
Click here to see answer by CharlesG2(828)

Question 366578: We want to set up a business so that the minimum cost occurs when we make 13,000 items per hour at a cost of $21 per item. We also know that if we make 9,000 items per hour the cost per item is $24.
Create a quadratic equation that represents the situation. Give you final answer in the form y=ax^2+bx+c
I cannot figure out how to write anything in this form. I don't understand which each letter stands for.
Click here to see answer by jim_thompson5910(28476)

Question 366583: Find the value of x in 4 to the power x-1=2 to the x+1 and
1/32=8 to the x
Click here to see answer by ewatrrr(10682)

Question 366738: I am doing quadratic equations, the problem is I understand most of it except for when I get to where the problem says x = -1 sqrt(47)/2 I don't know what to do with the square root symbol. I know how to find the vertex but I don't have the roots to graph the parabola, If some one could help me with this I would be grateful.
Click here to see answer by Alan3354(30968)

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