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2 years ago

14.6 as a mixed number

Mathematics

2 answers:

mr_godi [17]2 years ago

8 0

You can write 14.6 = 14 whole 6/10 or...
...... 14 whole 3/5 !!

Sladkaya [172]2 years ago

5 0

14 3/5 is the answer

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Determine any asymptotes (Horizontal, vertical or oblique). Find holes, intercepts and state it's domain.

vesna_86 [32]

Factorize the denominator:

$\dfrac{x^2-4}{x^3+x^2-4x-4}=\dfrac{x^2-4}{x^2(x+1)-4(x+1)}=\dfrac{x^2-4}{(x^2-4)(x+1)}$

If $x\neq\pm2$ , we can cancel the factors of $x^2-4$ , which makes $x=-2$ and $x=2$ removable discontinuities that appear as holes in the plot of $g(x)$ .

We're then left with

$\dfrac1{x+1}$

which is undefined when $x=-1$ , so this is the site of a vertical asymptote.

As $x$ gets arbitrarily large in magnitude, we find

$\displaystyle\lim_{x\to-\infty}g(x)=\lim_{x\to+\infty}g(x)=0$

since the degree of the denominator (3) is greater than the degree of the numerator (2). So $y=0$ is a horizontal asymptote.

Intercepts occur where $g(x)=0$ ( $x$ -intercepts) and the value of $g(x)$ when $x=0$ ( $y$ -intercept). There are no $x$ -intercepts because $\dfrac1{x+1}$ is never 0. On the other hand,

$g(0)=\dfrac{0-4}{0+0-0-4}=1$

so there is one $y$ -intercept at (0, 1).

The domain of $g(x)$ is the set of values that $x$ can take on for which $g(x)$ exists. We've already shown that $x$ can't be -2, 2, or -1, so the domain is the set

$\{x\in\mathbb R\mid x\neq-2,x\neq-1,x\neq2\}$

8 0

3 years ago

Please answer! <br> Solve for X

Sedbober [7]

Answer:

x = 3

Step-by-step explanation:

We can solve this by using ratios of similar triangles

3 x

------ = ------------

3+9 12

3 x

------ = ------------

12 12

x must equal 3 to keep the ratios the same

4 0

3 years ago

Read 2 more answers

Can someone please help on my geometry test?

sveta [45]

THE ANSWER IS NOT IN THE LINK THAY THAT PERSON GAVE

5 0

2 years ago

What is the value of the 5 in the number 14.5?

WINSTONCH [101]

The alue of 5 is the tenths place.

3 0

3 years ago

The money in Juan's savings account earns 1 1/4% interest. Which value is less than 1 1/4 %? The values are: a. 1/4 b. 0.125 c.

aleksandrvk [35]

11/4% = (11/4)/100 = 11/400 = 0.0275;
1/4 = 0.2500;
1/80 = 0.0125;
We observe that 0.0125 < 0.0275 and 0.0114 < 0.0275 and 0.2500 > 0.0275 and 0.12500 > 0.0275;

The answers are c. and d.

7 0

3 years ago