1 answer

How do you solve #2= \frac { 1} { 2} root[ 3] { x - 7} + 3#?

Question:

How do you solve #2= \frac { 1} { 2} root[ 3] { x - 7} + 3#?

Answers

#x=-1#

Explanation:

First, we begin with #1/2root(3)(x-7)+3=2#. This looks messy, but it is actually pretty simple, as long as we go step by step. Our goal is to isolate #x#. First, we should subtract #3# on both sides. That would give us

#1/2root(3)(x-7)=-1#.

Now, we divide by #1/2# on each side. This is equivalent to multiplying by #2# on both sides, which either way gives us

#root(3)(x-7)=-2#.

To get rid of the #root(3)#, we simply apply its inverse, which is cubing. So we cube both sides, and we get

#(root(3)(x-7))^3=(-2)^3=x-7=-8#.

We just add #7#, and we are left with

#x=-1#.

To confirm we are correct we should double check our work, by confirming that when #x=-1#, the earlier equation is still equal to #2#.

#1/2root(3)((-1)-7)+3=2# becomes #1/2root(3)(-8)+3=2#, or #1/2*-2+3=2#. Now, #1/2# multiplied by #-2# is #-1#, and #-1+3# is equal to #2#. Therefore, we were correct, and #x=-1#. Good job!

.

Similar Solved Questions

1 answer
Let V be the solid sphere of radius a centred at the origin. Let S be...
Let V be the solid sphere of radius a centred at the origin. Let S be the surface of V oriented with outward unit normal. Consider the vector field F(x, y, z) (xi + yj + zk) (x2 + y2 + z2)3/2 (a) Evaluate the flux integral Sle F:ñ ds by direct calculation. (b) Evaluate SIL, VF DV by direct ca...
1 answer
2. Solve dc dt dy dt dc + 2 dy dt = 0 dt subject to...
2. Solve dc dt dy dt dc + 2 dy dt = 0 dt subject to (0) = 0, y(0) = 0...
1 answer
For further Thought 1. Achieving the right balance among what Drucker described as managing a busine...
For further Thought 1. Achieving the right balance among what Drucker described as managing a busine managing work and workers, and managing the facility in community and society will vary from one facility to another. As the NHA of a nursing home, how would you decide which area should be given mor...
1 answer
This difference must be equal to the energy of the emitted photon Combining this expression with...
This difference must be equal to the energy of the emitted photon Combining this expression with equations 1 and 2 gives: 1 1 1 =RH (Eqn.3) 2 2 1.0974 x 107 m1 (the Rydberg constant) where RH k/hc 1 5. Rearrange equation # 3 algebraically (on the bottom of page 1) to express n (i.e., nH in terms of ...
1 answer
Preparing a Classified Balance Sheet Prepare a classified balance sheet given the following account balances on...
Preparing a Classified Balance Sheet Prepare a classified balance sheet given the following account balances on December 31, 2020. Next, compute working capital on that same date. Note: Other than cash, list items in each balance sheet category in the order of the largest dollar amount to the smalle...
1 answer
Required information Use the following information for the Exercises below The following information applies to the...
Required information Use the following information for the Exercises below The following information applies to the questions displayed below. BMX Company has one employee. FICA Social Security taxes are 6.2% of the first $118,500 paid to its employee, and FICA Medicare taxes are 1.45% of gross pay....
1 answer
How is the spool shifted in jet pipe and flapper nozzle type servo valve?
How is the spool shifted in jet pipe and flapper nozzle type servo valve?...
1 answer
Blue Spruce Inc. is contemplating a capital investment of $108000. The cash flows over the project’s...
Blue Spruce Inc. is contemplating a capital investment of $108000. The cash flows over the project’s four years are: Expected Annual Expected Annual Year Cash Inflows Cash Outflows 1 $35000      $16000      2 65000   &n...
1 answer
(3 words) Hormonally regulated secretion or reabsorption occurs in the and the (2 words) (separate with...
(3 words) Hormonally regulated secretion or reabsorption occurs in the and the (2 words) (separate with comma) The cells present in the distal convoluted tubule that are osmoreceptors responsible for adjusting glomerular filtration rate. (2 words)...
1 answer
Weston Corporation just paid a dividend of $3 a share (i.e., D0 = $3). The dividend is expected to grow 10% a year for t...
Weston Corporation just paid a dividend of $3 a share (i.e., D0 = $3). The dividend is expected to grow 10% a year for the next 3 years and then at 3% a year thereafter. What is the expected dividend per share for each of the next 5 years? Do not round intermediate calculations. Round your answers t...
1 answer
At the consumer's optimal consumption bundle, the MRSxy is 4, and the marginal utility of good...
At the consumer's optimal consumption bundle, the MRSxy is 4, and the marginal utility of good X is 8. What is the marginal utility of good Y? Select one: a. 24 b. 1/2 c. 16 d. 2...
1 answer
Cnticism of others' contributions to the conversation, A paper investigated the efect that personal criticism has on an individual. Data from a survey of 190 chat room users from this study...
cnticism of others' contributions to the conversation, A paper investigated the efect that personal criticism has on an individual. Data from a survey of 190 chat room users from this study are summarized here. Have Been Have Not Been Criticized Cri Criticized Others 25 Have Not Criticized Other...
1 answer
Mail A A wrench 40 cm long lies along the positive y-axls and grips a bolt at the origin. A force is applied in the direction (0, 4,-3) at the end of the wrench. Find the magnitude of the force ne...
Mail A A wrench 40 cm long lies along the positive y-axls and grips a bolt at the origin. A force is applied in the direction (0, 4,-3) at the end of the wrench. Find the magnitude of the force needed to supply 90 N·m of torque to the bolt Stop 1 The magnitude of the torque τ developed by...
1 answer
Problem 16-02A Rosenthal Company manufactures bowling balls through two processes: Molding and Packaging. In the Molding...
Problem 16-02A Rosenthal Company manufactures bowling balls through two processes: Molding and Packaging. In the Molding Department, the urethane, rubber, plastics, and other materials are molded into bowling balls. In the Packaging Department, the balls are placed in cartons and sent to the finishe...
1 answer
The bond length for the shortest carbon-carbon bond in oxybutynin is closest to? A. 1.54 A...
The bond length for the shortest carbon-carbon bond in oxybutynin is closest to? A. 1.54 A B I.34A C 1.43 A D. I.20A E. 1.10 A Please show all workings please thank you!1 Oxybutynin is a drug use to treat urinary and bladder disorders Oxybutynin...
1 answer
CASE STUDY Stephen, age 17, developed a rash and possible skin infection on his arms and...
CASE STUDY Stephen, age 17, developed a rash and possible skin infection on his arms and torso. He has had a cold for a couple of weeks and has also had an elevated temperature at times. He was not concerned about the cold, but since he developed the rash with some draining vesicles, he has become v...
1 answer
With mechanism please. CH3 1) HNO3 / H2SO4 2) Κ.cr,07 / H3O" / Δ СО.H
With mechanism please. CH3 1) HNO3 / H2SO4 2) Κ.cr,07 / H3O" / Δ СО.H...