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3 years ago

Wen is factoring the polynomial, which has four terms.

Mathematics

2 answers:

Paladinen [302]3 years ago

6 0

Answer:

A.) (x-2) (6x2 + 7)

Step-by-step explanation:

Firdavs [7]3 years ago

5 0

Answer:

2x(x + 3)(2x - 1)

Step-by-step explanation:

Given

4x³ + 10x² - 6x ← factor out 2x from each term

= 2x(2x² + 5x - 3) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 3 = - 6 and sum = + 5

The factors are + 6 and - 1

Use these factors to split the x- term

2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )

= 2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term

= (x + 3)(2x - 1)

Thus

4x³ + 10x² - 6x = 2x(x + 3)(2x - 1) ← in factored form

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What's the volume of the cone? Round to tenths place please.

Alenkinab [10]

Given:

Given that the radius of the cone is 2 inches.

The height of the cone is 4 inches.

We need to determine the volume of the cone.

Volume of the cone:

The volume of the cone can be determined using the formula,

$V=\frac{1}{3} \pi r^2 h$

where r is the radius of the cone and h is the height of the cone.

Substituting r = 2 and h = 4 in the above formula, we get;

$V=\frac{1}{3} (3.14) (2)^2 (4)$

$V=\frac{1}{3} (3.14) (4) (4)$

$V=\frac{1}{3}(50.24)$

$V=16.75$

Thus, the volume of the cone is 16.75 cubic inches.

5 0

3 years ago

Biking at 10 mph, it takes Kristen 1/4 hour to reach the train station to go to work. Kristen then takes the train to work, and

11Alexandr11 [23.1K]

Answer:

Kirsten travels 7.5 miles to go to work.

Step-by-step explanation:

Bike: 10 MPH

Time: 1/4 Hour

1/4 of 10 = 2.5

Distance travelled on bike: 2.5 miles

Train: 20 MPH

Time: 1/4 Hour

1/4 of 20 = 5

Distance travelled by train: 5 miles

Add the distances together.

5 + 2.5 = 7.5

7.5 miles

3 0

3 years ago

Wendy is arranging books on the bookshelves in the school library. The total number of books she arranges is given by the equati

Harman [31]

The answer is 192 book. the reason why is because if you have 12 books each in 16 rows, you would like to MULTIPLY to find out how much in total. so
1
12
×16
---
72
+120
-------
192 books

8 0

3 years ago

What is the graph of the inequality 3x+2y>-5

Doss [256]

Answer:

The graph with solution is shown below.

Step-by-step explanation:

We need to find the $x-intercept$ and $y-intercept$ for given equation.

For $x-intercept$ , substitute $y=0$

Considering inequality sign as equality and simplifying,

$3x+2y=-5\\3x+0=-5\\x=-\frac{5}{3}$ , point is $(-\frac{5}{3} ,0)$

Similarly,

For $y-intercept$ , substitute $x=0$

We get,

$3x+2y=-5\\0+2y=-5\\y=-5/2$ , point is $(0,-\frac{5}{2})$

We locate this two points on the graph now and join them.

The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.

4 0

3 years ago

11. Sara borrowed *60,000 from a money lender at 15% rate of interest per annum. What is

patriot [66]

Answer:

36000

Step-by-step explanation:

Given the following

Principal = 60,000

Rate = 15%

Time = 4years

Using the simple interest formula

SI = PRT/100

SI = 60000*15*4/100

SI = 600 * 60

SI = 36,000

Hence the interest paid after 4 years is 36000

5 0

3 years ago