All categories

3 years ago

Simplify the expression to a polynomial in standard form: (x-1)(3x^2-5x-3) (x−1)(3x 2 −5x−3)

Mathematics

1 answer:

solmaris [256]3 years ago

6 0

Answer: 3x^3 -8*x^2 + 8*x + 3

Step-by-step explanation:

The standard form for a plolynomial is:

a*x^n + b*x^(n-1) + c*x^(n - 2) ........

We have:

(x-1)(3x^2-5x-3)

this is equal to:

3*x^3 - 5*x^2 + 3*x - 3*x^2 +5*x + 3

where the thing that i did is distribute the multiplication

this is equal to:

3x^3 -8*x^2 + 8*x + 3

You might be interested in

Please answer right away!!!

liraira [26]

Answer:

22.9m

Step-by-step explanation:

Using Pythagorean theorem, we can get two equations using the angles.

From Point A:

∠A = 20°

AB = 20m

From Point B:

∠B = 29°

BD = x

What we are looking for is the opposite side of each right triangle, each person makes because we have one adjacent side. We also know that both opposite sides will be equal.

So we use this formula for both point of views:

$Tan\theta=\dfrac{Opposite}{adjacent}$

Where:

Opposite = height of the building

Adjacent = distance from the building

We are looking for the opposite side so we can tweak our formula to get an equation for the height

$height=(Tan\theta)(distance)$

Using our given, we can solve for the distance of point B to D:

$(Tan20)(20+x) = (Tan29)(x)\\\\(0.3640)(20+x) = (0.5543)(x)\\\\\dfrac{(7.28+0.3640x)}{0.5543}=x\\\\13.1337 + 0.6567x = x\\\\13.1337 = x - 0.6567x\\\\13.1337 = 0.3433x\\\\\dfrac{13.1337}{0.3433}=x\\\\38.2572 = x$

The distance of point B to D is 38.2572 m.

Now that we know the distance of BD we can solve for the height of the building using only the given from point B.

$height=(Tan\theta)(distance)$

$height=(Tan29)(38.2572m)$

$height=(0.5543)(38.2572m)$

$height=21.21m$

But this is only the height from the line of sight. To get the height of the building from the ground, we just add the height of the viewer, which is 1.7m.

21.21m + 1.7m = 22.91m

The closest answer is: 22.91 m

8 0

4 years ago

Hi, I hope your having a good day so far..

maria [59]

Answer:

I am having a great day

3 1/5, 3.22, 3.4, 3.58, 3.64

Step-by-step explanation:

Me Brainliest please

4 0

3 years ago

Read 2 more answers

A circle is cut from a square piece of cloth, as shown:

makvit [3.9K]

Answer:

Represent pi with 3.14 rounded up to the tenths place and multiply it with the radius that would be the half of the diameter of the circle which is 52, you'll get 26 and multiply 26 by 26, you'll have the answer of 2,122.64 square inches.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Why is 1/4 x 1/5 less than each factor? (product is 1/20)

yanalaym [24]

Answer:The concentration of the reactants decreases.

Step-by-step explanation: Rate law says that rate of a reaction is directly proportional to the concentration of the reactants each raised to a stoichiometric coefficient determined experimentally called as order. hope this helps

3 0

4 years ago

Interval is 0, 2pi) 4 sin^2x-4 sin x + 1 = 0

svetoff [14.1K]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}$

Step-by-step explanation:

$4\sin^2x-4\sin x+1=0\\\\2^2\sin^2x-2(2\sin x)(1)+1^2=0\\\\(2\sin x)^2-2(2\sin x)(1)+1^2=0\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(2\sin x-1)^2=0\iff2\ain x-1=0\qquad\text{add 1 to both sides}\\\\2\sin x=1\qquad\text{divide both sides by 2}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}$

8 0

4 years ago