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2 years ago

Factor Completely: 2x2 − 18

2 answers:

3 0

To factor the given function, find a term that is divisible by both terms. For this problem, the factor would be 2, since 2x^2 and -18 are both divisible by 2.

2(x^2 - 9)

You could further factor out x^2 - 9 because it is factorable by (x - 3) and (x + 3). Thus, it would be

2(x -3)(x+3)

Darya [45]2 years ago

3 0

Answer:

The correct answer you are looking for is answer C

Step-by-step explanation:

2(x + 3)(x − 3)

if we factor both polynomials and if we factor the exponents, take away both sides to get 2x^2 then multiply the terms and simplify

You might be interested in

Which of the following is the product of the rational expressions shown below? 7x/x-4•x/x+7

Gre4nikov [31]

<h2>The product of the rational expressions $\dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}$ .</h2>

Step-by-step explanation:

We have,

$\dfrac{7x}{x-4}.\dfrac{x}{x+7}$

To find, the product of the rational expressions $\dfrac{7x}{x-4}.\dfrac{x}{x+7}$ = ?

∴ $\dfrac{7x}{x-4}.\dfrac{x}{x+7}$

= $\dfrac{7x.x}{(x-4)(x+7)}$

= $\dfrac{7x^2}{(x(x+7)-4(x+7)}$

= $\dfrac{7x^2}{x^2+7x-4x-28}$

= $\dfrac{7x^2}{x^2+3x-28}$

Thus, the product of the rational expressions $\dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}$ .

7 0

2 years ago

There are 35 students in a drama club two out of every five boys in the club are boys how much diamonds in the club are boys

andrew11 [14]

Given:

Number of students = 35

Two out of every five boys in the club are boys.

To find:

The number of students in the club that are boys.

Solution:

Two out of every five boys in the club are boys. It means, the ratio of boys to the total number of student is 2:5.

Let the number of boys be 2x and number of students be 5x.

According to the question,

$5x=35$

$x=7$

Now, the number of boys is

$2x=2(7)$

$2x=14$

Therefore, 14 students in the club are boys.

8 0

2 years ago

Frodo ran 2 1/5 miles in 7/12 of an hour. How many miles can Frodo run in one hour?

iVinArrow [24]

Answer:

$\frac{132}{35}$

Step-by-step explanation:

In $\frac{7}{12}$ of an hour, Frodo ran $2\frac{1}{5}$ miles

= $\frac{11}{5}$

So,

Multiplying both sides by $\frac{12}{7}$ , we get,

In $\frac{7}{12}*\frac{12}{7}$ hour, Frodo ran $\frac{11}{5}*\frac{12}{7}$

= $\frac{132}{35}$ miles

4 0

3 years ago

In the figure, BD¯¯¯¯¯ bisects ∠ABC .

pashok25 [27]

The bisector BD is perpendicular to the line segment AC then the angle formed in between is 90°. We can solve for DC using SOH CAH TOA theorem or Pythagorean theorem.
Since ∠BDA is 90°, we can examine that AD is equal to 2units. Proving this, we have BD^2=BD^2+AD^2.
3^2=DB^2+2^2
DB=5units
Therefore, DC=AC-AD and the answer is 2 units.

5 0

2 years ago

Lori is drawing a picture of her dining room. The scale in her drawing is 3in : 6ft. The length of the living room is 8 inches a

zhenek [66]

Answer:

480 ft

Step-by-step explanation:

1 ft = 12 in, so 3in : 6ft would be 3in : 72in, which can be simplified to 1in : 24in. then you use the scale to find the lengths. 8in: (24·8)in. 24 · 8 = 192. to convert to feet, do 192/12=16ft. for the width, do the same thing. 15in: (24·15)in. 24·15=360. 360/12=30ft. For area, multiply the length and width. 16·30=480ft.

8 0

2 years ago