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leonid [27]
3 years ago
8

Division property of exponents

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0
\dfrac{a^m}{a^n} = a^{m - n}

\dfrac{2u^2 \times 2u^4v^2}{3u^3v^3} =

= \dfrac{4u^5v^2}{3u^3v^3}

= \dfrac{4}{3} u^{5 - 3}v^{2 - 3}

= \dfrac{4}{3}u^2v^{-1}

= \dfrac{4u^2}{3v}
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Consider the following Function:<br> F(x)= 7x-9<br><br><br> If the output is 26, what is the input?
Wewaii [24]
<h2><em><u>Answ</u></em><em><u>er</u></em><em><u>:</u></em><em><u>-</u></em></h2>

★ Input of the given function F(x) is 5.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>Given</u><u>:</u><u>-</u></h3>

✯ F(x) = 7x - 9

✯ Output = 26

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>Solution</u><u>:</u><u>-</u></h3>

According to the question the output is 26.

Hence, the above data can be written in an equation form.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ F(x) = 7x - 9 = 26

➪ 7x = 26 + 9

➪ 7x = 35

➪ \sf x = \dfrac{35}{7}

➪ \bold\red{x = 5}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, F(x) = 5

6 0
3 years ago
How to write an equation in logarithmic form?
laiz [17]

Answer:

here is a example



5 0
3 years ago
The newsstand at the corner of Manilla Avenue and GreenTree Rd. in GreenTree sells the daily edition of The Pittsburgh Press. Th
Pavlova-9 [17]

Answer:

1 - NORM.DIST(625, 600, 15 ,TRUE)

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In Excel:

We use the norm.dist command.

NORM.DIST(x, mean, standard_dev ,cumulative)

x is the tested value, mean and standard_dev are the mean and the standard deviation, while cumulative we use true to find a probability of a value lower than x, so for a value higher than x, we use:

1 - NORM.DIST(x, mean, standard_dev ,TRUE)

Mean of 600 copies and a standard deviation of 15 copies.

mean = 600, standard_dev = 15

You want to find the probability of selling more than 625 newspapers on any given day.

x = 625

What is the Excel Command

1 - NORM.DIST(625, 600, 15 ,TRUE)

6 0
3 years ago
ANSWER THIS ASAP FOR BRAINIEST What type of triangle is shown below?
vovangra [49]

Answer:

The last one

Step-by-step explanation:

A scalene triangle has no similarities between the angles or the sides

In the shown triangle none of the sides are similar and none of the angles are congruent therefore this is a scalene triangle

Reasons why its not the other answers

  • This is not an acute triangle. In order for it to be an acute triangle all of the angles have to have a measure less than 90 degrees. There is an angle with a measure of 120 degrees the triangle is not an acute triangle
  • This triangle is not an isosceles triangle. In order for it to be an isosceles triangles it has to have at least one congruent side. None of the sides are congruent therefore it is not an isosceles triangle
  • This is not a right triangle. In order for it to be a right triangle one of the angles has to have a measure of 90 degrees. Because none of the angles measure 90 degrees it is not a right triangle

In conclusion the answer would be that this triangle is a scalene triangle

8 0
3 years ago
Read 2 more answers
Can someone please answer these questions to help me understand? Please and thank you! Will mark as brainliest!!
Nadya [2.5K]

QUESTION 1  

If a function is continuous at x=a, then \lim_{x \to a}f(x)=f(a)  

Let us find the limit first,  

\lim_{x \to 4} \frac{x-4}{x+5}  

As x \rightarrow 4, x-4 \rightarrow 0,x+5 \rightarrow 9 and f(x) \rightarrow \frac{0}{9}=0  

\therefore \lim_{x \to 4} \frac{x-4}{x+5}=0  

Let us now find the functional value at x=4  

f(4)=\frac{4-4}{4+5} =\frac{0}{9}=0  

Since  

\lim_{x \to 4} f(x)=\frac{x-4}{x+5}=f(4), the function is continuous at a=4.  

QUESTION 2  

The correct answer is table 2. See attachment.


In this table the values of x approaches zero from both sides.


This can help us determine if the one sided limits are approaching the same value.

As we are getting closer and closer to zero from both sides, the function is approaching 2.


The values are also very close to zero unlike those in table 4.


The correct answer is B


QUESTION 3


We want to evaluate;


\lim_{x \to 1} \frac{x^3+5x^2+3x-9}{x-1}


using the properties of limits.


A direct evaluation gives \frac{1^3+5(1)^2+3(1)-9}{1-1}=\frac{0}{0}.


This indeterminate form suggests that, we simplify the function first.


We factor to obtain,


\lim_{x \to 1} \frac{(x-1)(x+3)^2}{x-1}


We cancel common factors to get,


\lim_{x \to 1} (x+3)^2


=(1+3)^2=16


The correct answer is D



QUESTION 4

We can see from the table that as x approaches -2 from both sides, the function approaches -4


Hence the limit is -4.


See attachment


The correct answer is option A

3 0
3 years ago
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