# Math Homework Help

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• Math
358x = 17(mod313). To find the solution x, where x is in Z. We proceed like this: Let us find the gcd in the usual procedure: 358 = 313*1 +45. 313 = 45*6+43 45 = 43*1+2. 1= 2*21 +1. Therefore , we...

Asked by justbecaz44 on via web

• Math
The function for the profit earned per TV manufactured is given as P = 100x − 0.02x^2. Now we need to find the number of TV's that should be manufactured to earn the maximum profits. To solve...

Asked by thomas666 on via web

• Math
Let the length of the rectangle be L and the width be W Given the the Length is twice the width: Then, we will write: L = 2W.............(1) Also, given that the area is 98. We know that the area...

• Math
Let the equation of the line be : y- y1 = m ( x-x1) where ( x1, y1) any point passes through the line and m is the slope. Given that the line passes through the origin point Then the line passes...

Asked by dcnaser on via web

• Math
Let mark's age be M and his sister's age is S Given that mark is 4 years older than his sister: Then M = S + 4 ............(1) Now after 3 years: Mark's age = M + 3 His sister's age = S + 3 But...

Asked by maurochaves1 on via web

• Math
Let the numbers be x and y Given that the sum of both numbers is 23: Then we will write: x+ y = 23..............(1) Also, given that the difference between the numbers is 1: x - y =...

Asked by michaelrisner on via web

• Math
Let the vertices of the triangle be : A(-1,1) B( 2,0) and C ( 4,-2) First we will calculate the length of the sides: AB = sqrt( 2+1)^2+ ( 0-1)^2 = sqrt(3^2 + 1) = sqrt( 10) ==> AB...

Asked by talal042004 on via web

• Math
-2 < 2x-4 < 6 To solve the inequality, first we need to solve the same ways we solve the equality. We need to isolate x by itself : Let us add 4 to all sides: ==> -2 + 4 < 2x-4 + 4 <...

Asked by eugeniehartmann on via web

• Math
3z - 2i = (5+i) / ( 1-i) First we need to re-write z using the form z =a+ bi First we will multiply and divide the right side by ( 1+ i) ==> 3z-2i = ( 5+ i)(1+i) / (1-i)(1+i) ==> 3z - 2i = (...

Asked by stefanievarghese on via web

• Math
Given the points A(a,3) B (4, a+3) Also, given that the distance between A and B is 4 units. We will use the distance formula to solve: We know that: D = sqrt[ ( xB-xA)^2 + ( yB-yA)^2 ] ==>...

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• Math
Given that the volume of the cylinder = 38 cm^3 Also given the height of the cylinder = 3 cm We need to calculate the circumference of the base : First we will calculate the radius by using the...

Asked by kentkeysert on via web

• Math
f(x) = 3x^3 + 5x^2 - 3x + 6 First, we will find the integral of f(x). Let F(x) = integral f(x) Then, the definite integral is given by: F = F(1) - F(0) Let us calculate. F(x) = intg f(x) =...

Asked by jimbart1 on via web

• Math
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Asked by vickyvan on via web

• Math
We know that the volume of the cylinder is: V = r^2 * pi * h where r is the radius and h is the height. Given that the height is h = 7 ==> V = r^2 * pi * 7 Now to determine the radius ( r), we...

Asked by jude69 on via web

• Math
Given the derivative, f;(x) = 3x^2 - 6x + 3 Also, given f(0) = -4. We need to determine the function f(x). We know that: f(x) = integral f'(x) : Then, let us integrate f'(x)" ==> f(x) = intg...

Asked by feres on via web

• Math
AB = 2x-3 and AC = 2x+4 and BC = 7 find x if AC is the hypotenuse. I am assuming that ABC is a right angle triangle where AC is the hypotenuse. Then we know that: AC^2 = ( AB^2 + BC^2 Let us...

Asked by lalooo on via web

• Math
We are given that ( 3,-4) is the midpoint of AB and the coordinates of B are (1,6). We have to find the coordinates of A. Let the coordinates of A be (x, y) So as (3 , -4) is the mid point of A and...

Asked by kokibrazil on via web

• Math
Given the functions: f(x) = log x^2. g(x) = x+ 5. We need to find f(g(5)). First, we need to determine f(g(x)), then substitute with x= 5 f(g(x)) = f( x+ 5) Now we will substitute with x+ 5 in...

Asked by nano75 on via web

• Math
2x+ y = 11.............(1) x^2 - y^2 = 24............(2) First we will rewrite (1): 2x + y = 11 ==> y= 11- 2x Now we will substitute in (2): ==> x^2 - y^2 = 24 ==> x^2 - ( 11-2x)^2 = 24...

Asked by yasmin130 on via web

• Math
A box with a square base is made using 1000 ft^2 of material. Now we have to find the maximum possible volume of the box. We know that the volume of the box would be V=x^2*y, where x is the side of...

Asked by villasmilla on via web

• Math
The length of the journey is 2350 km. The time taken by the airplane is 3 hrs and 15 minutes. Now 3 hours 15 minutes is equal to 3.25 hrs. Therefore the speed of the plane is 2350 / 3.25 = 723.07...

Asked by fayas on via web

• Math
Maria has \$350, she spends 2/7 of her money & then invests the rest for 2 years at 5% per year simple interest. We need to find how much money does Maria have at the end of the 2 years? As...

Asked by sabahkhan on via web

• Math
Let the length of the rectangle be L and the width be W: Given that the length is 3 more than twice the width: ==> we will write" L= 3 + 2W..............(1) Also, given the perimeter is : P = 18...

Asked by shoppana on via web

• Math
s=t^3-6t^2+qt+1. To analyse the motion. When t = 0, the initial distance covered is 1. ds/dt = 3t^2- 6t +q., When t = 0, the initial velocity = q. d2x/dt^2 = 6t-6. So the acceleration is zero when...

Asked by yeleknd on via web

• Math
We'll consider x as the length of the rectangle. We'll note the width of the rectangle as w. We know, from enunciation that the width is: w = 45*x/100 Now, we'll write the formula of the perimeter...

Asked by olaf on via web

• Math
From enunciation, we conclude that we have two points (2,-9) and (3,9) that are located on the graph of the linear function f(x). We'll write the linear function in the point slope form: f(x) = mx...

Asked by edithmo on via web

• Math
Large font ==> 1800 words / page Small font ==> 2400 words/ page Total pages = 21 and 48000 words Now let us assume that: x = number of pages with Large Font y= number of pages with small...

Asked by blueglove on via web

• Math
Let the function be : f(x) = ax^2 + bx + C Given the points (-1,4), (1, -2) and (2,1) are on the curve of f(x): Then the points should verify the equation such that: f(-1) = 4 f(1) = -2 and...

Asked by arundel on via web

• Math
There are 3 ways, at least, to find the vertex of a parabola. We'll write the function as: f(x) = a(x-h)^2 + k, where the vertex has the coordinates v(h,k) We'll write the given function: f(x) =...

Asked by emilien on via web

• Math
Let x be one side of the square. We'll write the formula for the area of the square: A = x^2 We'll write the formula for the perimeter of the square: P = 4x Now, we'll write mathematically the...

Asked by agneslund on via web

• Math
We'll re-write the inequality: log 3 5 + 1/log 3 5 > 2 We'll note log 3 5 =a We'll re-write the inequality in a: a + 1/a > 2 We'll multiply by 2 the inequality: a^2 + 1 > 2a We'll subtract...

Asked by chezmena on via web

• Math
The equation of the slant asymptote is put in the standard form and it is written as: y = mx + n, where m is the slope of the asymptote and n is the y intercept. The equation of the slant asymptote...

Asked by tgl223 on via web

• Math
Your question is already in slope-intercept form. slope-intercept looks like this: y = mx + b which looks like yours with m = 1/2 and b = 1. If instead you are supposed to transform the equation...

Asked by juniorgirl2012 on via web

• Math
One way to solve the inequality is to draw a graph of the function f(x) = 3x^2-9x+5 The area between the roots is the area where the graph goes below the x axis. This area represents the solution...

Asked by fab10 on via web

• Math
We'll impose the constraints of existence of logarithms: 1) x+2 > 0 2) x + 2 different from 1. 3) 15 + 2x -x^2 > 0 We'll solve the first constraint: 1) x+2 > 0 We'll subtract 2 both...

Asked by ginkomind on via web

• Math
The ratio of sides of the first triangle is 9:15:18. The ratio of sides of the similar triangle is 6:X:Y. Now, we'll determine the proportion: 6/9 = a We'll cross multiply and we'll get: 9a = 6...

Asked by browntim3 on via web

• Math
First,we'll calculate the perimetero fthe original triangle, adding up the three lengths of the sides: P1 = 8+9+10 P1 = 27 Now, we'll divide the perimeter of the similar triangle, namely 81, by the...

Asked by mikok on via web

• Math
For f(x) to be increasing, the derivative of f(x) has to be positive. We'll determine the first derivative: f'(x) = (ax^3+bx^2+cx+d)' f'(x) = 3ax^2 + 2bx + c For the expression of the first...

Asked by omotshow on via web

• Math
We notice that if we'll add log 12 (3)=a and log 12 (5)=b, we'll get: log 12 (3) + log 12 (5) = a + b (1) Since the bases are matching, we'll apply the rule of product: log 12 (3) + log 12 (5) =...

Asked by tarja19 on via web

• Math
To prove that A is a constant means that to prove that the result of the ratio does not depend on x. We notice that the numerator is a sum of logarithms that have matching bases. We'll use the rule...

Asked by bibiloi on via web

• Math
We are given the function f(x) = (3x - 12) / (x - 4). A function is continuous at x= c if: f(c) exists. lim x-->c f(x) exists. lim x-->c f(x) = f(c). Now we see that for the function f(x) =...

Asked by superficial on via web

• Math
Here the amount of air in the balloon at any moment of time t is given as V(t). Now if the balloon is being filled or not can be determined by finding the value of the differential of the function...

• Math
We need to factor the following equations: 1. 2x^2+3x-2=0 ==> ( 2x -1) ( x+ 2) = 0 ==> x1= 1/2 ==> x2= -2 2. 2x^2-3x-9=0 ==> ( 2x +3) ( x- 3) = 0 ==> x1= -3/2 ==> x2= 3 3....

Asked by dira12 on via web

• Math
Given the functions: f(x) = 12 - 4x g(x) = 1/x We need to find the domain of g(f(x)). First we need to determine g(f(x)) g(f(x)) = g( 12 - 4x). Now we will substitute ( 12 - 4x ) in g(x). ==>...

• Math
Given the function f(x) = 3x - 7. We need to find the inverse function f^-1 (x). First we will rewrite. Let y = 3x - 7. The goal is to isolate x on one side. Now we will add 7 to both sides. ==>...

Asked by annaball111 on via web

• Math
Given the functions f(x) and h(x) such that: f(x) = x^2 + x h(x) = x / (1-x). We need to find h(f(x)) To find h(f(x) we will substitute with f(x) in g(x). h(f(x)) = h ( x^2 + x) Now substitute with...

Asked by mariavoce on via web

• Math
Given that the number of boys and girls in a class is as follows: Number of boys = 11 Number of girls = 9 Then we conclude that the total number of students in the class= 20 students. Then, the...

Asked by carlosnas on via web

• Math
Given the line segments AB, BC and AC such that: AB = 4x - 15 BC = 2x + 3 AC = 48. Also given that AC is a hypotenuse. Then BC and AB are the other sides of the right angle triangle. Then we know...

Asked by colinhartmann on via web

• Math
When adding a zero to the numbers, the mean will get smaller. Let us prove it by an example. For example: Let "2, 3, 5, 7, 9" be numbers that their mean is as follow. m = (2+ 3 + 5+ 7+ 9) / total...