NEED HELP ASAP MAKE IT NEAT AND NOT TOO LONG!!!!

Mathematics

1 answer:

Mariulka [41]3 years ago

6 0

Answer:

Step-by-step explanation:

(2x - 5)(x + 1)

The x intrcepts occur when the factors equal zero.

2x - 5 = 0

2x = 5

x = 5/2

x = 2 1/2

I will give the the minimum from completing the square

y = 2(x - 0.75)^2 - 6.125

as x approaches + infinity, y approaches + infinity.

as x approaches - infinity, y approaches + infinity.

It's a quadratic. The y values go to plus infinity, when x goes from - infinity to + infinity.

Desmos is the most useful tool for this part of the question. What it shows is the two roots and the minimum at (0.75,-6.125. A parabola does what the end behavior describes. The roots are clearly labeled as is the minimum.

You might be interested in

Asap help plz i need this

VladimirAG [237]

Answer: $scale\ factor=2.5$

Step-by-step explanation:

First, it is important to know that the scale factor is defined as a ratio of two corresponding side lengths of similar figures.

Similar figures are defined as those figures in which the ratio of their corresponfing side lengths are equal and their corresponding angles are congruent (which means that they have the same measure).

In this case, you know that the rectangles given in the picture are similar.

Therefore, you can find the scale factor that was applied to the first rectangle to get the resulting image, dividing the lenghts of their corresponding sides.

Then, this is:

$scale\ factor=\frac{7.5}{3}\\\\scale\ factor=2.5$

4 0

4 years ago

Consider the surface defined by the equation x3 + y3 + z3 = 3xyz. Use implicit differ- ∂z entiation to find ∂x. (Note z is not a

Aloiza [94]

Answer:

$\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}$

Step-by-step explanation:

Given equation is $x^{3}+y^{3}+z^{3}=3xyz$ ………………(1)

we use derivative formula $\frac{d}{dx}(x^{n}) = n x^{n-1}$

$\frac{d}{dx}(x^{3)} = 3 x^{2}$

$\frac{d}{dx}(z^{3)} = 3 z^{2}$

And also apply 'u v' formula

$\frac{d}{dx}(uv}) = u\frac{d}{dx}(v)+v\frac{d}{dx}(u)$

Differentiating equation (1) partially with respective to 'x' , we treated 'y' as constant.

$(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =3y(x\frac{∂z}{∂x}+z(1))$ ( here y treated as constant so the derivative of constant function is zero in addition but in multiplication the constant is keep as like 'y').