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2 years ago

Simplify the following rational expression and express in expanded form.

Mathematics

2 answers:

bekas [8.4K]2 years ago

6 0

Answer:

On khan Academy,

it is m-y/2

ASHA 777 [7]2 years ago

4 0

Answer:

6m²-5my-12m

Step-by-step explanation:

dont get it oooo

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Use the graph of the function f to determine the given limit. <br> Picture below

Oduvanchick [21]

Answer:

<u>Option: a</u> is correct.

Limit of the function at x=2 is: 2

Step-by-step explanation:

Clearly by looking at the graph of the function we could observe that the function f(x) is defined as:

f(x)= -x+4 when x≠4

and 8 when x=2

since we could see that the function f(x) is a line segment that passes through the point (4,0) and (0,4).

and the equation of line passing through two points (a,b) and (c,d) is given by:

$y-b=\dfrac{d-b}{c-a}\times (x-a)$

Here a,b)=(4,0) and (c,d)=(0,4)

Hence,

the equation of line is:

$y-0=\dfrac{4-0}{0-4}\times (x-4)\\\\y=\dfrac{4}{-4}\tmes (x-4)\\\\y=-1(x-4)\\\\y=-x+4$

Now the left hand limit of the function at x=2 is:

$\lim_{h \to 0} f(2-h)\\\\= \lim_{h \to 0} -(2-h)+4\\ \\=\lim_{h \to 0} -2+h+4\\\\=\lim_{h \to 0}2+h\\\\=2$

Similarly the right hand limit of the function at x=2 is:

$\lim_{h \to 0} f(2+h)\\\\= \lim_{h \to 0} -(2+h)+4\\ \\=\lim_{h \to 0} -2-h+4\\\\=\lim_{h \to 0}2-h\\\\=2$

Hence, the limit of the function at x=2 is:

6 0

3 years ago

What is the result of 72 divided by 12? 6 8 9 12

galben [10]

Answer:

the answer is 6

Step-by-step explanation:

7 0

2 years ago

Thickness measurement ancient prehistoric Native American Pot Shards discovered in Hopi Village are approximately normally distr

beks73 [17]

Answer:

a) $P(X$

And we can find this probability using the normal standard table and we got:

$P(z$

b) $P(X>7)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z>\frac{7-5.1}{0.9})=P(z>2.11)$

And we can find this probability using the complement rule and the normal standard table and we got:

$P(z>2.11)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(5.1,0.9)$

Where $\mu=5.1$ and $\sigma=0.9$

Part a

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table and we got:

$P(z$

Part b

We are interested on this probability

$P(X>7)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>7)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z>\frac{7-5.1}{0.9})=P(z>2.11)$

And we can find this probability using the complement rule and the normal standard table and we got:

$P(z>2.11)=1-P(Z$

4 0

3 years ago

Which equations are true for x = –2 and x = 2? Check all that apply.

4vir4ik [10]

А. х²-4=0; х²=4; х=±2, true. B. x²=-4; there is no solution. C. 3x²+12=0; 3x²=-12; x²=-4; there is no solution. D. 4x²=16; x²=4; x=±2, true. E. 2(x-2)²=0; 2(x²-4x+4)=0; 2x²-8x+8=0; x²-4x+4=0; x1=2; x2=2. False. The answer: A, D.

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2 years ago

Which of the following parabolas opens down?

iris [78.8K]

Answer:

Step-by-step explanation:

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2 years ago