# Math Homework Help

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• Math
We'll re-write the function: f(x) = 1/(x+1)(x+2) The function is continuous over the interval [1;2] (the function is discontinuously for x = -1 and x = -2, that are the roots of the denominator)....

Asked by riverwave on via web

• Math
We have to find the sum of the terms An = n^2 + 12n Now Sum [ An], of n terms => Sum [ n^2 + 12n ] , of n terms => Sum [ n^2] + Sum [ 12n] , of n terms => n(n+1)(2n+1)/6 + 12* n(n+1)/2...

Asked by bookofhth on via web

• Math
To determine the antiderivative, you'll have to evaluate the indefinite integral of the given function y. Int f(x)dx = Int sqrt(25 - x^2)dx (y = f(x)) We'll factorize by 25: Int sqrt[25(1 -...

Asked by pengui on via web

• Math
Given the logarithm equation: log(x) 8e^3 = 2 We need to find the values of x. let us rewrite into the exponent form. ==> x^2 = 8e^3 But we know that 8= 2^3 ==> x^2 = (2^3)(e^3) Now we will...

Asked by alinnne on via web

• Math
Given that: a^2 - b^2 = 8 ............(1) ab = 2..................(2) We need to determine a^4 + b^4 Let us square equation (1). ==> (a^2 - b^2)^2 = 8^2 ==> a^4 - 2a^2 b^2 + b^4 = 64 ==>...

Asked by neefo on via web

• Math
Given the polynomial P(x) = x^3 - 3x^2 - 10x + 24 We are given that x=2 is one of the root. Then we know that (x-2) is one of the factors of P(x). ==> P(x) = (x-2) * Q(x) Now we will divide P(x)...

• Math
Given the number i^231 Let us simplify and determine the values. First we will rewrite the power. ==> i^(231) = i^(3+228) Now we will use exponent properties to simplify. We know that x^(a+b) =...

• Math
Given the quadratic equation f(x) = 2x^2 + 5x -k We need to find the value of k such that f(x) has two real solutions. We will use delta to determine the values of k. We know that the function has...

Asked by jojoogel on via web

• Math
Given the parabola y= x^2 - 5x + 4 and the line y= 2x-2 We need to find the intersection points of the parabola and the line. The intersection points are the values of x and y such that: the...

Asked by roooze on via web

• Math
a = ( 3- sqrt2)^1/2 b = ( 3+ sqrt2)^1/2 We need to find the values of b(1/a - b) First we will rewrite: b*(1/a - b) = b/a - b^2 Now we will calculate each terms. ==> b/a = (3+sqrt2)^1/2 /...

Asked by maisaphie on via web

• Math
Let the width of the perimeter be "w" and the length be "L" Given that the perimeter is 160 cm But the perimeter is given by : P = 2L + 2W = 160 We will divide by 2. ==> L + w = 80...

Asked by rogeryyo on via web

• Math
Given that: x^2 - y^2 = 10..............(1) x+y = 2..............(2) We need to find the values of x and y. First , we will rewrite equation (1) We know that (x^2 - y^2) = (x-y)(x+y) ==>...

Asked by meterya on via web

• Math
1/xy(x+y+z)+1/yz(x+y+z)+1/xz(x+y+z) The least common denominator is xyz(x+y+z) Since this is not a full equation- it does not have "=" sign-, we cannot multiply least common denominator. But, we...

Asked by babysana on via web

• Math
Given the equation of the line 3x + 3y = 4 The point ( -2, k) is on the line. Then the point ( -2, k) should verify the equation of the line. We will substitute: 3x + 3y = 4 ==> 3 (-2) + 3k = 4...

Asked by genieee on via web

• Math
Let us assume that the number is E. ==> E = (1-1/10) ( 1-1/11) ( 1- 1/12) .... (1-1/99)( 1- 1/100) Let us rewrite the terms by using the common denominator. ==> 1- 1/10 = 10/10 - 1/10 = 9/10...

Asked by zaidzoo on via web

• Math
The property is: log (a) + log (b) = log (ab) The bases of the logarithm must be equal. Let us solve an example. Given the logarithm equation: log (x-2) + log x = log 4 We need to solve for x. We...

Asked by merishorverde on via web

• Math
Given the function f(x) = -3(x-10)(x-4) We need to find the maximum value. First we will open the brackets and expand the function. ==> f(x) = -3(x^2 -14x + 40) = -3x^2 + 42x -...

Asked by clara2 on via web

• Math
Let us assume that the width of the field is "W" and the length of the field is "L" We are given that the area of the rectangular field is 300 m^2 But we know that the area = L*W ==> L*W = 300...

Asked by nano75 on via web

• Math
I will explain in an example: We have the equation: 2x + 5 = 9 We will solve the equation by isolating x on the left side. We will subtract 5 from both sides. ==> 2x = 4 ==> x = 2 Then there...

Asked by fairydrink on via web

• Math
Let us assume that the selling Price of the house is X. The real estate agent recieved 6% of the selling price which is 8,880 dollars. Then we will write: 6% (x) = 8,880 ==> (6/100) x = 8880 Let...

Asked by totoo on via web

• Math
We have to simplify 2x/(x^2 -6x+9) - 1/(x+1) - 8/(x^2 -2x-3) 2x/(x^2 -6x+9) => 2x/(x^2 -3x - 3x+9) => 2x/ [x( x - 3) - 3(x- 3)] => 2x/ (x-3)^2 8/ ( x^2 - 2x - 3) => 8/( x^2 - 3x + x -...

Asked by ryanomar on via web

• Math
Given the function f(x) = -2ln(2x-3) + 2 We need to find the inverse function f^-1 (x). Let us assume that f(x) = y ==> y= -2ln(2x-3) + 2 The goal is to isolate x on one side . Let us subtract 2...

Asked by feres on via web

• Math
Given the equation: sqrt(4-x)^2 = 5- 2x First we will simplify the square root. We know that sqrt x^2 = l x l ==> sqrt (4-x)^2 = l 4 -x l ==> l 4 - x l = 5 -2x Then we have two cases: ==>...

Asked by jude69 on via web

• Math
Given the equation: f(x) = sqrt(x^2 + 4 - 4x) We need to rewrite and solve the function using the absolute values. First we notice that (x^2 -4x+4) is a complete square and equals (x-2)^2 Then we...

Asked by kokibrazil on via web

• Math
Let a1, a2, a3, ....., an be terms of arithmetic sequence. Then, we will assume that the common difference is r. Given that a1= 4 and a6 = 29 Then, we know that: an = a1 + (n-1)*r ==> a6 = a1...

Asked by barbieish on via web

• Math
Given the inequality: l -6 + 4x l =< 7 We need to find the values of x where the inequality holds. We will rewrite the absolute values using the definition: ==> -7 =< (-6+4x) =< 7 Now...

Asked by lalooo on via web

• Math
Given the expression : E= l -2sqrt3 + 5/2l We need to rewrite the number. Let us calculate the values between the absolute value. ==> E = l ( -4sqrt3 + 5)/2 l = l -4sqrt3 +5 l / 2 ==> We know...

• Math
Given the function: f(x) = sqrt(x-2) / sqrt(3-x) we need to find the domain. Since the function if a quotient, then the denominator can not be zero. Also, the square root must be a values greater...

Asked by yasmin130 on via web

• Math
You need to solve for x the equation `x^4+8x^2=9` , hence, you should complete the square to the left side, using the formula `(a+b)^2 = a^2 + 2ab + b^2,` such that: `x^4 + 8x^2 + 16 = 9 + 16` (add...

Asked by cleokay on via web

• Math
You can see the expression as a word in a sentence and the equation as the sentence itself. We can use expressions to form equations. Let's see an example: 2x is an expression. If we plug in values...

Asked by she16 on via web

• Math
x+y=5 xy=3 x^2+y^2=? That means that you will need to us the first two equations to solve for the third. Let us rewrite the third equation. ==> We know that ( x+y)^2 = x^2 + 2xy + y^2 ==> x^2...

Asked by zarvamea on via web

• Math
We know that a^b = a*a*a*....*a multiplied b times. Now, we'll take decimal logarithms both sides: log a^b = log (a*a*a*....*a) Based on product rule of logarithms, we'll transform the product into...

Asked by sirserie on via web

• Math
The term of prime number is given to the number that cannot be divided by other numbers, except 1 and itself. Prime factor is a factor of a number that has the property to be a prime number: Let's...

Asked by mabottle on via web

• Math
It is a quadratic and you can solve accordingly. But there is another manner to approach the problem, without using quadratic formula. We'll move the term from the right side, to the left side,...

Asked by undoitu on via web

• Math
The slope intercept form of an equation is given as y = mx + b where b is the y intercept and m is the slope. So you already have y = mx + 5 You can find the slope of the line by using two points...

Asked by sixpenpencil on via web

• Math
We have to solve 2 cases: 1) 5y + 3 = 8y - 8 5y - 8y = -3 - 8 -3y = -11 y = 11/3 2) 5y + 3 = -8y + 8 5y + 8y = -3 + 8 13y = 5 y = 5/13

Asked by jeuxdesfou on via web

• Math
The way of solving the exponential equation depends on the right term b. If b is a multiple of a, then the equation could be solved using the one to one property of exponential function. Let's see...

Asked by cartoffried on via web

• Math
Any spot on a graph is defined by a coordinate with a value on the x axis (horizontal) and the y axis (vertical). An equation like the one you gave can be used to find each point on a given line....

Asked by deuxtoi on via web

• Math
Yes, it helps! x^9-y^9 = (x^3)^3 - (y^3)^3 We'll note x^3 = a and y^3 = b As you know, the formula of difference of squares is: a^3 - b^3 = (a-b)(a^2 + ab + b^2) We'll substitute a and b and we'll...

Asked by dietmyth on via web

• Math
Yes. The area of the triangle is .5(base*height). In a right triangle, the two legs are the base and the height. You can use the Pythagorean Theorem to find the lengths of the legs. Once you...

Asked by evarecup on via web

• Math
You should use the formula that factors a difference of two cubes such that: `x^3 - y^3 = (x^2 + xy + y^2)(x - y)` Considering `x = root(3)(512x^3) = 8x` and `y = root(3)1 = 1` yields: `512x^3 - 1...

Asked by jeuxeur on via web

• Math
The consecutive integers are: x,x+1 and x+2 We'll add their squares: x^2 + (x+1)^2 + (x+2)^2 = 110 We'll expand the squares: x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 110 We'll combine like terms: 3x^2 +...

Asked by favoritt on via web

• Math
We have to solve the following equations by elimination 2x-5y+3z=-1 ...(1) x+4y-2z=9 ...(2) x-2y-4z=-5 ...(3) Let's eliminate x and create 2 equations with y and z. (2) - (3) => 4y - 2z + 2y +...

Asked by pavelpimen on via web

• Math
The equation of a line passing through the points (x1, y1) and (x2 , y2) is given by (y - y1) = [(y2 - y1)/(x2 - x1)]*(x - x1) Here we have x1 = 3, x2 = 1 , y1 = 5 and y2 = 4. Substituting the...

Asked by istetz on via web

• Math
We have to solve the simultaneous equations 7x-4y=-10 ...(1) 4y=x-2...(2) add (2) and (1) => 7x - 4y + 4y = -10 + x - 2 => 7x = -12 + x => 6x = -12 => x = -2 Substitute this in (2)...

Asked by potziunea on via web

• Math
We have to solve the equation: 5(u-5)+10=12u+3(u+5) First open the brackets 5(u-5)+10=12u+3(u+5) => 5u - 25 + 10 = 12u + 3u + 15 bring the terms with u to one side and the numeric terms to the...

Asked by greynose on via web

• Math
Let's recall the form of the quadratic equation: ax^2 + bx + c = 0 We'll factorize by a: a(x^2 + bx/a + c/a) = 0 We'll group the first 2 terms and we'll complete the square: a(x^2 + 2*x*b/2a +...

Asked by bibiloi on via web

• Math
a) 000 b)0101 .. hence exactly the same 0's and one's

Asked by spunkykhan on via web

• Math
I think by y = 2/3x + 1, you mean y = (2/3)*x + 1. So to find the value of y in this case, multiply x with (2/3) and add 1. Similarly for y = (3/4)x - 2, multiply x with (3/4) and subtract 2 from...

Asked by cocopuffs666 on via web