Calculus

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Yes. You must use the "slip and slide" factoring method because there is a 2 coefficient infront of x2.

2x2-12x-80 = (x-10)(2x+8)

15

You obtain the absolute minimum of the function when x=0. (0^4)-2 =0-2=-2. So, the lower bound of the function is -2.

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First arrange the equation so that there are no other terms with the x and y terms. Do this by getting rid of the number term (-10) by adding 10 to both sides. It now says 2x + 5y = 10. Whenever the x and y term are alone on one side of the equation, then you do the following to find the intercepts: For the x-intercept, plug in 0 for y and solve for x. It now becomes 2x + 5(0) = 10. x = 5. For the y-intercept, plug in 0 for x and solve for y. It now becomes 2(0) + 5y = 10. y = 2. (Note that you always plug in 0 for the other letter than the intercept you are looking for.) The answer is x-int.: 5, and y-int.: 2.

you can't get a value for either a or b from just the information you

have given - you can only get an expression for what a is in terms of b

and vice versa;

a=3+b

b=a-3

That is the equation of a straight line intersecting the axis at (4,0) and (0,-4). There is no "answer" as such; an "answer" would imply that you require specific values for x and y at a certain place (e.g where this line meets another line), which clearly cannot be answered with the details given: you have two variables (x and y) and one equation. You MUST have at least the same number of equations as variables in order to solve for x, y etc...

420

96 cups

It isn't, but here is a corrected equation that is: tan1 x tan 20 x tan 45 x tan 70 x tan 89 = 1 It will then work because tan(45 + x) = 1/tan(45 - x). Hence tan1 cancels when multiplied with tan89, and tan20 cancels with tan70. tan 45 equals 1, and so the whole expression cancels to 1. I think this effect was what the equation was intended to demonstrate.

100x100=27x27 200x49 x4=360,001,414,200

In order to find the equation of a tangent line you must take the derivative of the original equation and then find the points that it passes through.

this a first degree equation. Therefore,

5x + 8 = x - 36

First take likely terms in one side of the equation and independent terms in the other side.

5x - x = -36 - 8 checking the result: 5x(-11) + 8 = -11 -36

4x = -44 -55 + 8 = -11 -36

x = -44/4 so, -47= -47

x = -11 x = -11 is the correct answer

Solving quadratics can be difficult. Completing the square is one method for solving a quadratic equation.

Rewrite equation: x2-12x+2=0

x2-12x+ (36)=-2+(36)

(x-6)^2=-2+(36)

(x-6)^2=34

Square both sides: x-6=-sqrt34 or +sqrt34

Solve for x:

x = 6-sqrt(34),x = 6+sqrt(34)

You should check out some examples in the external links. I actually solved your problem by watching other example videos. Hope this helps! =)

4x - 10y = 11

Add 10y to each side:
4x = 11 + 10y

Subtract 11 from each side:
4x - 11 = 10y

Divide each side by 10:

y = f(x) = 0.4x - 1.1

Yes

0

It is the set which comprises the inputs to a function.

5xy+4=9 is the problem, right?

5xy+4=9. Now subtract the 4 from both sides. 5xy=5. Ok, then, that looks less scary. Now, divide both sides by 5, to get xy=1. Hmm, a lot simpler. Now, divide both sides by x to get y by itself. So, y=1/x. Alright. That's your line! No, its not a straight line. There is a vertical asymptote where x=0, and the two segments aren't straight. But that's a simpler form of the equation. Hope that helped!

1.0 x 10 x 10 x 10 is 1000.

The answer is x + 6.

The plus sign (+) is used to indicate sums.

A sum is the result of addition and + indicates the addition operator.

Yes.

x2 + 4x = 1

x2 + 4x - 1 = 0

in the quadratic formula (b2+- Sqr(4ac))/2a,

a = 1

b = 4

c = -1

so x = 8 +- i

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