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3 years ago

Which of the following shows the complete factorization x3+3x2

Mathematics

1 answer:

morpeh [17]3 years ago

6 0

X^3 + 3x^2
x (x^2 + 3x)
x^2 (x + 3) <<<<--------- Answer

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In 2006, the population of the country was 30.4 million. This represented an increase in population of 7.6 % since 2001. What w

Molodets [167]

Answer:

28.25 million

Step-by-step explanation:

Population of the country:

in 2001 - x million
in 2006 - 30.4 million

Population of the country as percent:

in 2001 - 100%
in 2006 - 100% + 7.6% = 107.6%

Write a proportion:

$\dfrac{x}{30.4}=\dfrac{100}{107.6}$

Cross multiply:

$107.6\cdot x=30.4\cdot 100$

Divide by 107.6:

$x=\dfrac{30.4\cdot 100}{107.6}=\dfrac{3,040}{107.6}\approx 28.25$

6 0

3 years ago

X+y=8 and 3x+2y=14 for soliving system

kumpel [21]

X+y=8
multiply the first equation by 3 to get rid of x
3x+3y=24
3x+2y=14
subtract equation 1 from 2
y=10
substitute to find the value of x
x+10=8
x=-2

7 0

3 years ago

What are the domain and range of this function?

RUDIKE [14]

<h3>Answer: Choice D</h3>

Domain: all real numbers
Range: $y \ge 1$

===========================================

Explanation:

The domain is the set of allowed x inputs. We can plug in any x value we want as the graph stretches on forever to the left and to the right. There aren't any division by zero errors or any issues like that to worry about, so that's why we don't kick out any x values from the domain.

The domain being all real numbers translates to the interval notation $(-\infty, \infty)$ which is basically saying $-\infty < x < \infty$

-----------------------------------

The range is the set of y outputs possible. The graph shows that y = 1 is the smallest y output, so y = 1 or y can be greater than this.

In short, $y \ge 1$ is the range which converts to the interval notation $[1, \infty)$ which is the same as saying $1 \le y < \infty$

-----------------------------------

Extra info:

The equation of this absolute value function is y = |x|+1

8 0

2 years ago

Ms. Bauer corrected 2⁄3 of the science quizzes. Mr. Richardson corrected 2⁄7 of the quizzes. What fraction of the science quizze

IrinaK [193]

We must add 2/3 and 2/7.
We have to convert these to fractions with "21" as the denominator.
14/21 plus 6/21 =
20/21 of the quizzes have been corrected.

7 0

3 years ago

If p:q = 1/3:2 and p:r = 1/2:3/4 calculate the ratio p:q:r

kirza4 [7]

Answer:

p:q=1/3:2=1:6=3:18

p:r=3/4:1/2=3:2

p:q:r=3:18:2

i hope its help to you ✌

5 0

2 years ago