Free Math Homework Help Blog

x and y - real numbers. To prove that

x²+y²+1 ≥ 2(xy-x+y)

need some help with college mathematics

Calculate the angles degree between the radius-vector of the point and the positive x-axis (measured counter-clockwise from the positive x-axis, within the limits of 180 degrees to positive 180 degrees)
^? what do i do? and how do i approach this problem?

x=-3.93
y=-3.18

2(-3) with an exponent of 2 outside the parenthesis.-4(-2) with an exponent of three outside?  (dont know how to do that on keyboard) I know it is simple, but I haven’t been to school in 20 years, and I didn’t like math then. Checking answer in book the answer is 50 but how did it get to be 50?

 Use f(x) = 16x⁵ + 4x³ - 3x + 6  to determine the end behavior of the function

 Use f(x) = -10x⁶ - 10x³ + 4x² - 9  to determine the end behavior of the function

  Graph y = -x2 - 4x - 1 and identify the ordered pair representing the vertex.

  Graph y = -x2 + 4x and determine if there is a maximum or a minimum. Find the vertex and the axis of symmetry.

  Graph y = x2 + 14x + 48 and determine if there is a maximum or a minimum. Find the vertex and the axis of symmetry.

 . Find the vertex for the following equation: y = x2 + 3x

Can someone help me please..

A firm prints advertising posters. They have a set-up fee of £100 and charge 8p per poster. Explain in words how to find the total cost of printing 250 posters. Hence explain why the total cost £(C)ofprinting N posters is given by the formula
C = 100 + 0.08N.
(b)
Use the formula in part (ii)(a) to calculate the cost of printing 500 posters.
(c)
Rearrange the formula in part (ii)(a) to make N the subject of the equation. Explain carefully the steps in your working.
(d)
Use the result of part (ii)(c) to determine how many posters you can print for £200.
(e)
Another printing firm has a set-up fee of £50 and charges 16p per poster. Find a formula (similar to the one in part (ii)(a)) for P, the total price in £ when N posters are printed.
(f)
Solve the equation
100 + 0.08N =50 + 0.16N.
Explain why the solution of this equation gives the number of posters for which the cost of printing is the same for both firms.

thank you

Dave

Hello everyone,

I am new to the site and wonder if anyone can help me with my Algebra:

I am trying to get my head around the following but not understanding it very well, can anyone help me or give me the soultions to these questions please?

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A firm prints advertising posters. They have a set-up fee of £100 and charge 8p per poster. Explain in words how to find the total cost of printing 250 posters. Hence explain why the total cost £(C)of printing N posters is given by the formula

C = 100 + 0.08N.

(b) Use the formula in part (ii)(a) to calculate the cost of printing 500 posters.

(c) Rearrange the formula in part (ii)(a) to make N the subject of the equation. Explain carefully the steps in your working.

(d) Use the result of part (ii)(c) to determine how many posters you can print for £200.

(e) Another printing firm has a set-up fee of £50 and charges 16p per poster. Find a formula (similar to the one in part (ii)(a)) for P, the total price in £ when N posters are printed.

(f) Solve the equation100 + 0.08N =50 + 0.16N.

Explain why the solution of this equation gives the number of posters for which the cost of printing is the same for both firms.

Thank you in advance

Navy_Dave

how many hundreds make one thousand

Given that the surface area of a cylinder (radius = 3, height = 12) is given by the formula sa= 2 x pi x rsquared + 2 x pi x r x h, derive a formula for the surface area of you tin in terms of radius (r) alone.  Hence find the radius of the tin of minimum surface area to three decimal places.

Hi I would like to know if anyone can help me or guide me through the steps to the answers to these questions? I am fairy new to advanced mathematics and I am finding it a bit difficult to understand some topics…sigh… ur help would be greatly appreciated

1. Determine the limit from first prinicples by evaluating the function at values about the indicated limiting value.

lim [(x^3) - x]/(x-1)
x–>1

2. Evaluate;

lim [2- √(x+2)] / (x-2)
x–>2

3. A 5-Ω resistor and a variable resistor of resistance R are placed in parallel. The expression for the resulting resistance, Rτ, is given by
Rτ= 5R/ (5 +R). Determine the limiting value of Rτ as R–>.(Use L’Hopital’s Rule)

WORK DONE :

For the first question, the phrasing ‘by evaluating the function at values about the indicated limiting value’ implies that I am expected to calculate for things like x= 0.9, 0.99, 0.999, 1.001, 1.01, 1.1 and then ‘guess’ the limit?

Multiply both numerator and denominator by (rationalize the numerator) fot the second question
ok……..
the answer :

lim [2- √(x+2)] / (x-2) = lim [2- √(x+2)] [2+ √(x+2)]/ (x-2) [2+ √(x+2)]
x–>2 x–>2

= lim [4 + 2√(x+2) - 2√(x+2) - (x+2)] / (x-2) [2+ √(x+2)]
x–>2

= lim (4 - x + 2) / (x-2) [2+ √(x+2)]
x–>2

…….then…. ? I am having some difficulties from here

And the third…

Divide numerator and denominator by the highest power variable (in this case R)