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3 years ago

Rewrite the rational exponent as a radical by extending the properties of integers exponents.

1 answer:

lisabon 2012 [21]3 years ago

5 0

$\frac{2 ^{\frac{3}{4}} }{2^\frac{1}{2}}=2 ^{\frac{3}{4}-\frac{1}{2}}=2 ^{\frac{3}{4}-\frac{2}{4}}=2 ^{\frac{1}{4} }=\sqrt[4]{2}$

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Consider the linear function f(x)=mx+b, where m ≠0, on the interval [3,7]. Explain why the maximum value of the function over th

oksano4ka [1.4K]

Answer:

the function is either increasing or decreasing

Step-by-step explanation:

For m ≠ 0, the function must be either increasing or decreasing. If the function is increasing, it will have its maximum value at the right end of the interval. If it is decreasing, its maximum value will be at the left end of the interval.

5 0

3 years ago

Jim drove 715miles in 11 hours.<br> At the same rate, how many miles would he drive in 9 <br> hours?

Dafna11 [192]

585 miles per 9 hours

Step-by-step explanation:

715miles per 11 hours

/11 to determine miles per hour

65 miles per 1 hour

× 9 to determine miles per 9 hours

585 miles per 9 hours

8 0

3 years ago

Find an explicit form f(n) for each of the following arithmetic sequences (assume a is some real number and x is

Xelga [282]

Answer:

The explicit form f(n) is $a_{n} = a +(n-1)(a+1)$

Step-by-step explanation:

A sequence is arithmetic if the difference between each consecutive terms is a constant.

The explicit formula of an arithmetic sequence is:

$a_{n}=a_{1}+(n-1)d$

Where d is the common difference, a1 is the first term of the sequence and an is the nth term.

In order to obtain the common difference, you have to subtract two consecutive terms:

For the first and second terms:

2a+1 - a = a+1

For the second and third terms:

3a+2 - (2a+1)=

Applying the distributive property:

3a+2-2a-1= a+1

Notice that the difference of any two consecutive terms is the same. Therefore:

d=a+1

Also, a1=a (The first term)

Replacing in the explicit formula:

$a_{n} = a +(n-1)(a+1)$

4 0

4 years ago

Please explain how to help me learn please

devlian [24]

Https://us-static.z-dn.net/files/d5b/b845384fc1268b12d8e26abf6f82a538.jpeg

5 0

4 years ago

There are two spinners. The first spinner has three equal sectors labeled 1, 2, and 3. The second spinner has four equal sectors

zhuklara [117]

<h3>Answer: A) 1</h3>

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

Explanation:

Let's label each pair of outcomes as an ordered pair (x,y)

x = first spinner outcome

y = second spinner outcome

We have these 12 different possible combos

(1,3), (1,4), (1,5), (1,6)

(2,3), (2,4), (2,5), (2,6)

(3,3), (3,4), (3,5), (3,6)

Focus on the third column where y = 5 for each (x,y) pair. Of this column only (2,5) has x be an even number. The other results in that column have x be odd.

Basically (1,5) is the only possible outcome if we want the first spinner to lan on an even number, and the second spinner to land on 5.

7 0

4 years ago