What expression do you get when you subtract 4x-2 from 8x+3

Mathematics

1 answer:

Novay_Z [31]3 years ago

6 0

Answer:

Is in images. Hope this helps!

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Solve 2x^3+7x^2-2x-1=o

Mashcka [7]

Answer:

$x=\sqrt{3}-2\\x=-\sqrt{3}-2\\x=\frac{1}{2}$

Step-by-step explanation:

This is a hard one

We have to use the rational root theorem

$2x^3+7x^2-2x-1$ = 0

We have to find all the factors of a and d and put them in a fraction

$a=2\\d=-1\\\frac{1}{1,2}$

We then plug them into the equation to see if any of them work

The equation isn't true when plugging 1, but is true when plugging in 1/2

factored form of 1/2 is (2x-1)

Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get $x^2+4x+1$

So now the equation is $(2x-1)(x^2+4x+1)$

Solve the second half of this equation using the quadratic formula to get

$\sqrt{3}-2$ and $-\sqrt{3}-2$

We already know the solution for the first half of the equation (1/2)

So the final answers are:

$x=\sqrt{3}-2, -\sqrt{3}-2, \frac{1}{2}$

8 0

3 years ago

Stanley, the skunk, is traveling from point A to point B by taking a shortcut through the pond.A path that avoids the pond is 25

san4es73 [151]

Stanley the skunk will save about 15.5 feet.

This problem can be solve with the Pythagorean Theorem. The possible paths that Stanley can take make a right triangle. The legs of the triangle are 25 and 28, and the hypotenuse would be 37.5.

If Stanley went the long way, he would travel 25 + 28 = 53 feet. Taking the short way (hypotenuse) is 53 - 37.5 = 15.5 feet shorter.

7 0

3 years ago

The incenter is the center of the _______ circle of a triangle

blagie [28]

Answer:

Step-by-step explanation:

An incircle is a circle inside a triangle that touches all three sides of the triangle.