Maths-
General
Easy

Question

What are the solutions to the equation left parenthesis x minus 3 x minus 6 right parenthesis to the power of 3 over 2 end exponent minus 14 equals negative 6

hintHint:

Rearrange the equation and then solve for x.

The correct answer is: ⇒ x = -5


    Complete step by step solution:
    Here we have the equation left parenthesis x minus 3 x minus 6 right parenthesis to the power of 3 over 2 end exponent minus 14 equals negative 6
    not stretchy rightwards double arrow left parenthesis x minus 3 x minus 6 right parenthesis to the power of 3 over 2 end exponent equals negative 6 plus 14
    To make the power of the equation as 1, we have to raise the equation by 2 over 3
    not stretchy rightwards double arrow left parenthesis x minus 3 x minus 6 right parenthesis to the power of 3 over 2 cross times 2 over 3 end exponent equals left parenthesis 8 right parenthesis to the power of 2 over 3 end exponent
    not stretchy rightwards double arrow x minus 3 x minus 6 equals cube root of 8 squared end root
    not stretchy rightwards double arrow x minus 3 x minus 6 equals cube root of 64
    not stretchy rightwards double arrow x minus 3 x minus 6 equals 4
    not stretchy rightwards double arrow negative 2 x equals 10
    not stretchy rightwards double arrow x equals negative 5

    Related Questions to study

    General
    Maths-

    Escape velocity is the velocity at which an object must be travelling to leave a star or planet without falling back to its surface or into orbit. Escape Velocity V depends on the gravitational constant G , the mass M, and radius r, of the star or planet .
    V equals square root of fraction numerator 2 G M over denominator r end fraction end root
    Rewrite the equation to solve for mass,
    The escape velocity of earth is 11, 200 m/s and its radius is 6,371,000 m. The gravitational constant is 6.67x 10^-11. What is the earth's mass in kilograms?

    Escape velocity is the velocity at which an object must be travelling to leave a star or planet without falling back to its surface or into orbit. Escape Velocity V depends on the gravitational constant G , the mass M, and radius r, of the star or planet .
    V equals square root of fraction numerator 2 G M over denominator r end fraction end root
    Rewrite the equation to solve for mass,
    The escape velocity of earth is 11, 200 m/s and its radius is 6,371,000 m. The gravitational constant is 6.67x 10^-11. What is the earth's mass in kilograms?

    Maths-General
    General
    Maths-

    Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

    Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

    Maths-General
    General
    Maths-

    What are the solutions to the equation left parenthesis x plus 18 right parenthesis to the power of 3 over 2 end exponent equals left parenthesis x minus 2 right parenthesis cubed

    What are the solutions to the equation left parenthesis x plus 18 right parenthesis to the power of 3 over 2 end exponent equals left parenthesis x minus 2 right parenthesis cubed

    Maths-General
    parallel
    General
    Maths-

    Ella wrote three different computer apps to analyze some data. The table show the time in millisecond y for each app to analyze data as a function of the number of data items x.
    a. Use regression on a graphing calculator to find a function that models each data set . Explain your choice of model .
    b. Make a conjecture about which app will require the most time as the number of data items gets very large. How could you support your conjecture

    Ella wrote three different computer apps to analyze some data. The table show the time in millisecond y for each app to analyze data as a function of the number of data items x.
    a. Use regression on a graphing calculator to find a function that models each data set . Explain your choice of model .
    b. Make a conjecture about which app will require the most time as the number of data items gets very large. How could you support your conjecture

    Maths-General
    General
    Maths-

    What is the solution to the equation open parentheses x squared plus 5 x plus 25 close parentheses to the power of 3 over 2 end exponent equals 343

    What is the solution to the equation open parentheses x squared plus 5 x plus 25 close parentheses to the power of 3 over 2 end exponent equals 343

    Maths-General
    General
    Maths-

    Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

    Calculate the second difference for data in the table. Use a graphing calculator to find the quadratic regression for each data set. Make a conjecture about the relationship between the a values in the quadratic models and the second difference of the data.

    Maths-General
    parallel
    General
    Maths-

    Create a flow chart to show the process to determine whether a given data set represents a function that is linear , quadratic , exponential or none of these.

    Create a flow chart to show the process to determine whether a given data set represents a function that is linear , quadratic , exponential or none of these.

    Maths-General
    General
    Maths-

    Determine whether a linear , quadratic or exponential function best models the data . Then use regression to find the function that models the data ?

    Determine whether a linear , quadratic or exponential function best models the data . Then use regression to find the function that models the data ?

    Maths-General
    General
    Maths-

    Suppose that Y= 3 and Z= 16. Solve for the unknown value in the equation Y equals cube root of 2 x plus z end root minus 12 Round to the nearest tenth if necessary.

    Suppose that Y= 3 and Z= 16. Solve for the unknown value in the equation Y equals cube root of 2 x plus z end root minus 12 Round to the nearest tenth if necessary.

    Maths-General
    parallel
    General
    Maths-

    Derek is hang gliding on a clear day at an altitude of a feet. His visibility, v, is 67.1 mi. Use the formula v 1.225√a to find the altitude at which Derek is hang gliding

    Derek is hang gliding on a clear day at an altitude of a feet. His visibility, v, is 67.1 mi. Use the formula v 1.225√a to find the altitude at which Derek is hang gliding

    Maths-General
    General
    Maths-

    Big Ben’s pendulum takes 4s to swing back and forth. The formula t = 2The formula The formula t=2π√(L/32) gives the swing time, t, in seconds, based on the length of the pendulum, L, in feet. What is the minimum length necessary to build a clock with a pendulum that takes longer than
    Big ben’s pendulum to swing back and forth?

    Big Ben’s pendulum takes 4s to swing back and forth. The formula t = 2The formula The formula t=2π√(L/32) gives the swing time, t, in seconds, based on the length of the pendulum, L, in feet. What is the minimum length necessary to build a clock with a pendulum that takes longer than
    Big ben’s pendulum to swing back and forth?

    Maths-General
    General
    Maths-

    The half life of a certain type of soft drink is 5h. If you drink 50mL of this drink, the formula y equals 50 left parenthesis 0.5 right parenthesis to the power of t over 5 end exponent tells the amount of drink left in your system after t hours. How much of the soft drink will be left in your system after 16 hours?

    The half life of a certain type of soft drink is 5h. If you drink 50mL of this drink, the formula y equals 50 left parenthesis 0.5 right parenthesis to the power of t over 5 end exponent tells the amount of drink left in your system after t hours. How much of the soft drink will be left in your system after 16 hours?

    Maths-General
    parallel
    General
    Maths-

    Specialists can determine the speed a vehicle was travelling from the length of its skid marks, d,mand coefficient of friction, f. The formula for calculating the speed, s, is s = 15.9 √df. Rewritethe formula to solve for the length of the skid marks

    Specialists can determine the speed a vehicle was travelling from the length of its skid marks, d,mand coefficient of friction, f. The formula for calculating the speed, s, is s = 15.9 √df. Rewritethe formula to solve for the length of the skid marks

    Maths-General
    General
    Maths-

    Solve using the formula BSA = square root of fraction numerator H cross times M over denominator 3600 end fraction end root
    A sports medicine specialist determines that a hot-weather training strategy is appropriate for a165 cm tall individual whose BSA is less than 2.0. To the nearest hundredth, what can the mass of the individual be for the training strategy to be appropriate

    Solve using the formula BSA = square root of fraction numerator H cross times M over denominator 3600 end fraction end root
    A sports medicine specialist determines that a hot-weather training strategy is appropriate for a165 cm tall individual whose BSA is less than 2.0. To the nearest hundredth, what can the mass of the individual be for the training strategy to be appropriate

    Maths-General
    General
    Maths-

    Solve the radical equation square root of x plus 1 end root plus 1 equals square root of x plus 3 end root  Check for extraneous solutions

    Solve the radical equation square root of x plus 1 end root plus 1 equals square root of x plus 3 end root  Check for extraneous solutions

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.