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aivan3 [116]
3 years ago
5

summarize how to rewrite a rational power- where a number is raised to a rational exponent, as a radical term.

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0
A rationla power is a power in form a/b

remeber these 2 simple rules
1. x^{-m}=\frac{1}{x^m}
2. x^\frac{m}{n}=\sqrt[n]{x^m}

and the combo of these
x^\frac{-m}{n}=\frac{1}{\sqrt[n]{x^m}}

that's all
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Student identification codes at a high school are 4-digit randomly generated codes beginning with 1 letter and ending with 3 num
irinina [24]
\dfrac{1}{26,000}\approx3.8\%
4 0
3 years ago
The roots of the equation 3x²-2x-4=0 are J and K. Evaluate J² + K².
melamori03 [73]

Answer:

28/9

Step-by-step explanation:

If the roots are J and K, then:

3 (x − J) (x − K) = 0

3 (x² − (J+K)x + JK) = 0

So if we factor out the leading coefficient:

3x² − 2x − 4 = 0

3(x² − 2/3x − 4/3) = 0

The coefficient of the second term is the sum of the roots:

J + K = 2/3

And the constant is the product of the roots:

JK = -4/3

If we take the sum of the roots and square it:

(J + K)² = (2/3)²

J² + 2JK + K² = 4/9

And subtract twice the product:

J² + K² = 4/9 − 2JK

J² + K² = 4/9 − 2(-4/3)

J² + K² = 4/9 + 8/3

J² + k² = 28/9

6 0
3 years ago
Lily build and orange shelf and a brown shelf to hang in her room the orange shelf is 5 feet 6inches long the brown shelf is twi
astra-53 [7]

Answer: 10 feet and 12 inches

Step-by-step explanation:

8 0
3 years ago
Ms. Brack wants to hang a bulletin board with
Eduardwww [97]

Answer:

He needs 8.75 ft² polka dot paper to cover the board.

Step-by-step explanation:

How much polka dot paper she need to cover the board is the area of the board . The is a rectangle with length 3.5 ft long and width of 2.5 ft wide .

The area of the board(rectangle) = length × width

Area = LW

where

L= 3.5 ft

W = 2.5 ft

Area = 3.5 × 2.5

Area = 8.75 ft²

He needs 8.75 ft² polka dot paper to cover the board.

7 0
4 years ago
Choose the equation of the horizontal line that passes through the part point (1,-5)
vladimir2022 [97]
We know is a horizontal line, so, if it passes through 1,-5, it also passes through "whatever", -5, like 20, -5 or 1000000, -5, or -100000000, -5 and so on.

so, let's pick another point say -7, -5, check the picture below, and let's check about the equation that runs through it,

\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 1 &,& -5~) 
%  (c,d)
&&(~ -7 &,& -5~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-(-5)}{-7-1}
\\\\\\
\cfrac{-5+5}{-7-1}\implies \cfrac{0}{-8}\implies 0
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=0(x-1)
\\\\\\
y+5=0\implies y=-5

4 0
3 years ago
Read 2 more answers
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