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3 years ago

Writing radicals as a rational exponent

Mathematics

1 answer:

Vladimir79 [104]3 years ago

8 0

Lets say you have $\sqrt[n]{x}$ . To write it using a rational exponent, you would write $x^{\frac{1}{n}}$ .

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Solve the inequality, -3 < n -8

vesna_86 [32]

Add 8 on both sides in order to isolate n:

-3 + 8 < n - 8 + 8

5 < n

8 0

3 years ago

Write 0.15151515 as a fraction

leonid [27]

Answer:

5/33

Step-by-step explanation:

4 0

3 years ago

in a parking lot of 240 red and blue cars, the ratio of red cars to blue cars is 3: 5. How many red cars are in the parking lot?

butalik [34]

Answer:

90 red cars, 150 blue cars

Step-by-step explanation:

Divide 240 by 8. 8 comes from the 3:5 ratio (3+5). 240/8=30. 30x3=90, 30x5=150.

4 0

3 years ago

Read 2 more answers

Complete the table of inputs for the given function.

Alecsey [184]

Answer:

a. $x = \frac{3}{8}$

b. $g(0) = 3$

c. $x = 1$

d. $g(3) = -21$

Step-by-step explanation:

Given

$g(x) = 3 - 8x$

Solving (a): When g(x) = 0

Substitute 0 for g(x)

$g(x) = 3 - 8x$

$0 = 3 - 8x$

Solve for 8x

$8x = 3$

Solve for x

$x = \frac{3}{8}$

Solving (b): when x = 0

Substitute 0 for x

$g(x) = 3 - 8x$

$g(0) = 3 - 8 * 0$

$g(0) = 3 - 0$

$g(0) = 3$

Solving (c): When g(x) = -5

Substitute -5 for g(x)

$g(x) = 3 - 8x$

$-5 = 3 - 8x$

Solve for 8x

$8x = 3 + 5$

$8x = 8$

Solve for x

$x = \frac{8}{8}$

$x = 1$

Solving (d): When x = 3

Substitute 3 for x

$g(x) = 3 - 8x$

$g(3) = 3 - 8 * 3$

$g(3) = 3 - 24$

$g(3) = -21$

3 0

3 years ago

5,5,3 Is this a triangle? Explain.

Vlad1618 [11]

Problem 1

Answer: Yes a triangle can be formed with side lengths 5,5,3

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Explanation:

Take any two sides and add them up. If we get a sum larger than the third side, then a triangle is possible. This is the triangle inequality theorem.

5+5 = 10 is larger than 3

5+3 = 8 is larger than 5

This shows a triangle is possible. The triangle is isosceles because two sides are the same length.

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Problem 2

Answer: Yes a triangle can be formed with side lengths 8,8,8

--------------------

Explanation:

This triangle is equilateral because all sides are the same length.

Take any two sides, add them up, and you'll find the sum is larger than the third side.

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

Problem 3

Answer: No a triangle cannot be formed with sides 7,8,15

--------------------

Explanation:

Yes it is true that

8+15 = 23 is larger than 7

7+15 = 22 is larger than 8

but

7+8 = 15 is not larger than 15

So this means a triangle is not possible.

Imagine you had 3 strips of paper that were 7 inches, 8 inches and 15 inches long. The 7 and 8 inch strips add to 15 inches, but those two smaller strips only form a straight line. We cannot pull them so a triangle forms. If we did, then the third side would be smaller than 15 inches. This is one way to get hands on to see why the triangle inequality theorem works.

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Problem 4

Answer: Yes a triangle is possible with side lengths 5,6,10

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Explanation:

Same idea as before. We can take any two sides, add them, and get a sum larger than the third side. A triangle is possible.

5+6 = 11 is larger than 10
6+10 = 16 is larger than 5
5+10 = 15 is larger than 6

4 0

3 years ago

Writing radicals as a rational exponent ​

Writing radicals as a rational exponent