Mathematics

Put the following in the form a(x-h)^2 + k

a) y= 2x^2-20x+41 THEN STATE THE VERTEX FOR: b) y= -x^2+14x-46-a.) y = 2x²-20x+41 Complete the Square Formula: ax²+bx+c → a(x+b/2a)²+(c-b²/4a) → a(x+h)²+k 2x²-20x+41, a = 2, b = -20, c = 41 → (2)[x

Evaluate the difference quotient

Evaluate the difference quotient for the given function. Simplify your answer. F(x)=x^3, (f(a+h)-f(a))/h. I worked it out and received 2a+ha+a^2+2h+h^2. Not sure if it is correct though. Please help,

1) 12x -4 greater or equal than 7x+21

2) -1/3x - 7/9 greater or equal than 1/8 +3/7x 3) 3IxI - 5 = 10-1.) 12x - 4 >= 7x + 21 5x >= 25 x >= 5 ---------------------------------- 2.) (-1/3)x - (7/9) >= (1/8) + (3/7)x Multiply everything b

(Easy 10 points) How many pg are there in 3.45 x 106 cg? (p = 10-12)? to ask

This question stumps me in this practice set. 10 points to the best answer. Please show work to help me understand.-pg = 1x10^10 cg (3.45x10^6)(1.00x10^10) 3.45x10^16

What is the domain of f(x,y) = sqrt x + sqrt y

f(x,y) = √x + √y How can I find the domain of this function ?-domain of f is the set of all real numbers variable x and y can take such that the expression defining the function is real,therefore the

What is the equation of the parabola that opens up, has a vertex of (-5,0), and a y-intercept of 50

please help.-Standard equation of parabola y = Ax^2 + Bx + C when x = 0, y =50 50 = C x co-ordinate of vertex = -B/2A = -5 B = 10A y = Ax^2 + 10A*x+50 when x=-5 y=0 0=25A-50A+50 A = 2 y = 2x^2+20x+50

Help me solve the following equation 8 - 4y - 9y < 86

Combine like terms: -13y + 8 subtract 8 -13y divide by -13 y > 6 Note: You have to flip the inequality sign, because you divided by a negative number.-8-4y-9y 8-13y -13y y > -6 (divide by -13 and

To find the equation of a line tangent to a curve, do you use the definition of a derivative

for example, for : y=7x^3 - 2x^2 + 3x - 5 at x= -1 I use (f(x+h)-f(x))/h then I find the slope using the point slope formula? is that right?-Let y=f(x) = 7x^3 - 2x^2 + 3x - 5 f(-1) = -7 -2 -3 -5 = -1

Optimization question

an open storage bin w/ a square base and vertical sides is gonna be constructed from 108 ft of material. What are the dimensions that would have the maximum volume? how do you do this?-You must mean

Please derive this equation, show all the steps and the algebra

If you coul please just type out the algebra, Ill do all the formatting: Using v = 2πRf, derive a formula for Fc in terms of M, R, and frequency, f.Simplify the formula after you substitute for v in

HELP WITH PARTIAL DECOMPOSITION! FULL POINTS FOR THE BEST ANSWER!

Write the terms for the partial decomposition. Do not solve for constants. x^3+2x^2-3 / (x^2+2)(x^2-2x+1) Thank you!-Note that x^2 - 2x + 1 can be factored further to (x - 1)^2, so: (x^3 + 2x^2 - 3)

Volume mathematics question

Wedding rings are packed into little boxes which all measure 3cm by 3cm by 0.5cm. If 48000 of these boxes are packed in a cubic box with so space wasted, how long is the edge of the box?-Vol of each b

Simplify (4x^3 + 3x^2 − 7x) − (7x^3 − 5x^2).

thank you-First remove the brackets: 4x^3+3x^2-7x-7x^3+5x^2 Then add like terms (4x^3+(-7x^3) and so on) and you get: -3x^3+8x^2-7x

Determine whether the graph of y = −2x^2 + 7x + 3 opens up or down and whether it has a maximum or minimum

point.-Because the coefficient on x^2 is negative (-2), the parabola opens downward, and therefore it has a maximum.-y = −2x^2 + 7x + 3 -2(x^2-7/2 x)+3 -2(x^2-7/2 x+(7/4)^2)+3+2(7/4)^2 -2(x-7/4)^2+3+4

What is the slope of a line perpendicular to the line with equation y= -2x + 1

the slope of a line perpendicular to line is an opposite, reciprocal of the original slope so in this case it would be 1/2-y = 1/2x - 1 is the perpendicular line equation. The slope is 1/2. When you m