All categories

3 years ago

Factor the trinomial completely. 3n2 - 48n + 192

Mathematics

1 answer:

Charra [1.4K]3 years ago

3 0

3n^2 - 48n +192
n^2 - 16n + 64
(n^2 - 8)(n^2 - 8)

You might be interested in

Find the volume of a cylinder made by rotating a rectangle with a width of 2.5 feet and a length of 8 feet as shown in the figur

asambeis [7]

<span>the question does not present the picture, but this does not interfere with the resolution</span>

we know that
When a rectangle with a width of 2.5 feet and a length of 8 feet rotates it makes a cylinder with a radius r = 2.5 ft and a height h = 8 ft

volume of a cylinder=pi*r²*h-----> pi*2.5²*8----> 157 ft³

the answer is
157 ft³

7 0

3 years ago

The Japanese Yen corresponds to the American Dollar. If the exchange rate is 150 Yen for 1 Dollar, then a Japanese car sold in A

Papessa [141]

Answer:

125,000

Step-by-step explanation:

Take the Japanese yen and divide by 12

1,500,000 divided by 12 = 125,000

3 0

4 years ago

In a science test Jamie solved 42 correct and 18 incorrect answers what is the percentage of correct questions

Mkey [24]

The percentage is 2.3

6 0

4 years ago

Read 2 more answers

An Olympic swimming pool is 50 metres long by 25 metres wide. Rebecca draws a scale diagram of it to a scale of 1 cm to 5 m. How

evablogger [386]

Answer:

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Scaled length of the pool = 50 / 5 = 10cm

7 0

3 years ago

Select the two values of x that are roots of this equation.<br> 2x^2+ 1 = 5x

iren [92.7K]

Answer:

$\frac{5+\sqrt{17}}{4}$ , $\frac{5-\sqrt{17}}{4}$

Step-by-step explanation:

One is asked to find the root of the following equation:

$2x^2+1=5x$

Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:

$ax^2+bx+c=0$

Change the given equation using inverse operations,

$2x^2+1=5x$

$2x^2-5x+1=0$

The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:

$\frac{-b(+-)\sqrt{b^2-4ac}}{2a}$

Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,

$\frac{-b(+-)\sqrt{b^2-4ac}}{2a}$

$\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}$

Simplify,

$\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}$

$\frac{5(+-)\sqrt{25-8}}{4}$

$\frac{5(+-)\sqrt{17}}{4}$

Rewrite,

$\frac{5(+-)\sqrt{17}}{4}$

$\frac{5+\sqrt{17}}{4}$ , $\frac{5-\sqrt{17}}{4}$

8 0

3 years ago