Maths-

General

Easy

Question

Solve the equation $left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4$

hint Hint:

Rearrange the equation and then solve for x.

The correct answer is: ⇒ x = 10

Complete step by step solution:
Here we have the equation $left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4$
To make the power of the equation as 1, we have to raise the equation by $5 over 2$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 cross times 5 over 2 end exponent equals 4 to the power of 5 over 2 end exponent end cell row space of 1em end table$
$not stretchy rightwards double arrow 3 x plus 2 equals square root of 4 to the power of 5 end root$
$table attributes columnspacing 1em end attributes row cell not stretchy rightwards double arrow 3 x plus 2 equals 32 end cell row blank end table$
$not stretchy rightwards double arrow 3 x equals 30$
$rightwards double arrow x space equals space 10$

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Solve the equation

Rearrange the equation and then solve for x.

The correct answer is: ⇒ x = 10

Complete step by step solution:Here we have the equation To make the power of the equation as 1, we have to raise the equation by

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Solve the equation $left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4$

Simplify each expressions and state the domain : $fraction numerator x cubed plus 4 x squared minus x minus 4 over denominator x squared plus 3 x minus 4 end fraction$

Simplify each expressions and state the domain : $fraction numerator x cubed plus 4 x squared minus x minus 4 over denominator x squared plus 3 x minus 4 end fraction$

Express the rational expression in its lowest terms .
$fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction$

Express the rational expression in its lowest terms .
$fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction$

When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$

Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$

Rewrite the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$ to isolate x.

Rewrite the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$ to isolate x.

Find the product of the rational expression
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$

Find the product of the rational expression
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$

Determine whether is sometimes $fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6$ , always or never true . Justify your reasoning.

Determine whether is sometimes $fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6$ , always or never true . Justify your reasoning.

Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$

Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Sketch the graph of $y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2$

Sketch the graph of $y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2$

Explain how you can use your graphing calculator to show that the rational expressions $fraction numerator negative 6 x squared plus 21 x over denominator 3 x end fraction$ and
$negative 2 x plus 7$ are equivalent under a given domain. What is true about the graph
at x = 0and Why?

Explain how you can use your graphing calculator to show that the rational expressions $fraction numerator negative 6 x squared plus 21 x over denominator 3 x end fraction$ and
$negative 2 x plus 7$ are equivalent under a given domain. What is true about the graph
at x = 0and Why?

If $A equals 2 x cubed plus 5 x squared plus 4 x plus 1 text and end text B equals 2 x squared plus 3 x plus 1$ then find the quotient from the following four option, when A is divided by B.

If $A equals 2 x cubed plus 5 x squared plus 4 x plus 1 text and end text B equals 2 x squared plus 3 x plus 1$ then find the quotient from the following four option, when A is divided by B.