1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Free_Kalibri [48]
3 years ago
14

Help with Algebra 2: 1.

20%7D" id="TexFormula1" title="\frac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }" alt="\frac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }" align="absmiddle" class="latex-formula">
2.3\sqrt[4]{(x-2)^3} -4=20

Mathematics
1 answer:
Mars2501 [29]3 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

1. Given the expression

\dfrac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }

Note that

\sqrt[7]{x^5}=x^{\frac{5}{7}} \\ \\\sqrt[4]{x^2}=x^{\frac{2}{4}}=x^{\frac{1}{2}}

When dividing \sqrt[7]{x^5} by \sqrt[4]{x^2}, we have to subtract powers (we cannot subtract 4 from 7, because then we get another expression), so

\dfrac{5}{7}-\dfrac{2}{4}=\dfrac{5}{7}-\dfrac{1}{2}=\dfrac{5\cdot 2-1\cdot 7}{14}=\dfrac{3}{14}

and the result is x^{\frac{3}{14}}=\sqrt[14]{x^3}

2. Given equation 3\sqrt[4]{(x-2)^3} -4=20

Add 4:

3\sqrt[4]{(x-2)^3} -4+4=20+4\\ \\3\sqrt[4]{(x-2)^3}=24

Divide by 3:

\sqrt[4]{(x-2)^3} =8

Rewrite the equation as:

(x-2)^{\frac{3}{4}}=8\\ \\(x-2)^{\frac{3}{4}}=2^3

Hence,

\left((x-2)^{\frac{3}{4}}\right)^{\frac{4}{3}}=(2^3)^{\frac{4}{3}}\\ \\x-2=2^{3\cdot \frac{4}{3}}\\ \\x-2=2^4\\ \\x-2=16\\ \\x-2+2=16+2\\ \\x=18

You might be interested in
2 1/7+3/7(3X-5) =-4
KATRIN_1 [288]

Answer:

what is the question?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
the contractor demands a working temperature of 82 degrees Fahrenheit. what is the equivalent temperature in degrees Celsius
stiks02 [169]

Answer:

27.8 Celsius

Step-by-step explanation:

The equation to convert Fahrenheit and Celsius is:

F = (9/5)C + 32

82 = (9/5)C + 32 -- subtract 32 from both sides

50 = (9/5)C -- multiply both sides by 5

250 = 9C -- divide by 9

27.777 = C

round up to 27.8 C

7 0
3 years ago
5) In a urea manufacturing plan, all employees work a basic week of 40 hours. Ay overtime worked during weekdays is paid for at
Mkey [24]

Answer: $‭1,135.15‬

Step-by-step explanation:

First calculate his basic pay;

= 40 * 14.60

= $584

Total for overtime worked during the week;

= 15 * 14.60 * 1.25

= $‭273.75‬

Total for overtime worked on Saturday;

= 6 * 14.60 * 1.5

= $131.40

Total for overtime worked on Sunday;

= 5 * 14.60 * 2

= $146

Sum all the figures;

= 584 + 273.75 + 131.40 + 146

= $‭1,135.15‬

3 0
2 years ago
2a+3b=5<br> b=a-5 help please
diamong [38]

Answer:

2a + 3b = 5

b = a - 5

Step-by-step explanation:

2a + 3b = 5

b = a - 5

You can write this another way:

2a + 3(a-5) = 5 ( I added the second formula in the first one )

Now you gotta factor out:

2a + 3a - 15 = 5

Here im gonna do plus 15

2a + 3a = 20 ==> 5a = 20

Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

6 0
3 years ago
Read 2 more answers
Which of the following is an odd function??
Novay_Z [31]

Answer:

f(x)=5x^2 + 9

Step-by-step explanation:

all numbers are odd

6 0
2 years ago
Other questions:
  • Jake, Andy, and Damon caught 78 pounds of large mouth bass. Jake caught 22 pounds. Andy caught at least 30 pounds, but no greate
    6·1 answer
  • A triangle has sides of length 7 cm, 12 cm, and 15 cm. What is the measure of the angle opposite the side that is 7 cm long? Rou
    14·2 answers
  • You are in charge of the Annual Powder Puff football game. You designed a t-shirt to sell during the event. A company charges $7
    14·1 answer
  • Suppose two telephone poles are 60 ft apart and the length of the wire between the poles is 61 ft. if the lowest point of the wi
    6·1 answer
  • HELP ASAP WILL MARK THE BRAINLIEST!
    7·1 answer
  • Either enter an exact answer in terms of<br> or use 3.14 for .<br> units
    12·2 answers
  • I need help with math
    9·1 answer
  • Find the product: (5x + 5y) (x + 4y)
    5·1 answer
  • Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of
    6·1 answer
  • The sum of 8 and t please
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!