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drek231 [11]
4 years ago
15

describe how to transform (^5 square root x^7)^3 into an expression with a rational exponent. make sure you respond with complet

e sentences
Mathematics
1 answer:
diamong [38]4 years ago
3 0

Answer:

x^\frac{21}{5}

Step-by-step explanation:

We are given an expression and we have to transform it into an expression with exponent.

5th root of x can be written as x^\frac{1}{5}

(\sqrt[5]{x^7})^3\\\\((x^7)^\frac{1}{5} )^3


The powers outside will be multiplied as: (x^a)^b = x^{ab}

(x^\frac{7}{5} )^3\\x^\frac{7*3}{5}\\x^\frac{21}{5}


where the exponent is \frac{21}{5} and it is a rational number by definition of rational numbers

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What number needs to be added to both sides of the equation to complete the square? X^2−7x=5 Enter your answers in the boxes.
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ANSWER

We need to add half the coefficient of x all square.

\frac{49}{4}


EXPLANATION


Given the equation,

x^{2} -7x=5.

We compare to the general equation,

ax^2+bx+c=0

This means that;

a=1,b=-7,c=-5


To complete the square we add, (\frac{b}{2})^2


That is (\frac{-7}{2})^2=\frac{49}{4}.


Hence the number to be added to both sides is \frac{49}{4}.


Note that before we complete the square, the coefficient of the term inx^2 must always be 1.

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Answer:i think its a or c

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prisoha [69]
<h3>Answers:</h3>
  • Part A) Solution is (-3,-3)
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=========================================================

Explanation:

Part A

Ignore the g(x) curve. We're looking for the intersection of the p(x) and f(x) curves. The two cross at (-3,-3) which is the solution to the system of these two equations. This point is on both p(x) and f(x) simultaneously. That means the coordinates of the point satisfy both p(x) and f(x) equations simultaneously.

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

Part B

Pick any two points you want from the f(x) curve. You could pick the solution we mentioned, but I'll go for (0,0) and (2,2). When talking about a single curve, it has infinitely many solutions (as long as you pick a point on the curve).

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

Part C

Ignore the f(x) curve. The graphs of p(x) and g(x) intersect when x = -6, which is the solution to the equation p(x) = g(x). We're only concerned about the x coordinate of the intersection.

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