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3 years ago

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.

Mathematics

2 answers:

bearhunter [10]3 years ago

7 0

4 to the 18th power hope this helps

Fittoniya [83]3 years ago

3 0

4 to the 18th power is the answer to your question.

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Help solve these algebraic fractions please with explanation would be great <3

sineoko [7]

Answer:

7/ Ans;

$\frac{x + 2}{ x + 4} \div \frac{ {x }^{2} - 2x - 8}{ {x}^{2} + 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{(x - 2)(x + 4)}{(x - 4)(x + 2)} \\ \\ \\ =1 \times \frac{x - 2}{x - 4} \\ \\ \\ = \frac{x - 2}{x - 4}$

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9/Ans;

$\frac{ {x}^{2} - 9}{ {x}^{2} - 6x + 9} \div \frac{x + 4}{x - 3} \\ \\ \frac{ {x}^{2} - 9 }{ {x}^{2} - 6x + 9} \times \frac{x - 3}{x + 4} \\ \\ \\ \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)} \times \frac{x - 3}{x + 4} \\ \\ \\ = \frac{(x + 3)}{1} \times \frac{1}{(x + 4)} \\ \\ \\ = \frac{x + 3}{x + 4}$

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In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .

5 0

2 years ago

Which graph represents the function on the interval [-3,3] F(x)=[x]-2

julia-pushkina [17]

<h2>Answer:</h2>

Shown below

<h2>Step-by-step explanation:</h2>

The most famous of the step functions is the greatest integer function, which is denoted by the parent function $[x]$ .

So, this function is defined as:

$f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x$ .

These are the characteristics of this function:

The domain of the function is the set of all real numbers.
The range of the function is the set of all integers.
The graph has a $y-intercept$ at $(0,0)$ and $x-intercept$ in the interval $[0,1)$
The graph is constant between each pair of consecutive integers.
The graph jumps vertically one unit at each integer value.

The function $F(x)=[x]-2$ represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.

3 0

3 years ago

Someone help me please

horrorfan [7]

Answer:

56.7

Step-by-step explanation:

6.3^2 * 9^2= 56.7

5 0

3 years ago

The system crosses at the point (3, 4). How many solutions will the system have?

vagabundo [1.1K]

For this case suppose that we have a linear system of equations of the form:
ax + by = c
dx + ey = f
The solution of the system is an ordered pair of the form:
(x, y)
That is, both lines intersect at a point.
The point of intersection in this case is:
(3, 4)
Therefore, the system has one solution.
Answer
the system will have:
one solution

6 0

4 years ago

Jane must get at least three of the four problems on the exam correct to get an A. She has been able to do 80% of the problems o

NISA [10]

Answer:

a) There is n 81.92% probability that she gets an A.

b) If she gets the first problem correct, there is an 89.6% probability that she gets an A.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the answer is correct, or it is not. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$